有效降低CT金属工件基于分数阶曲率扩散</t我tle> <link rel="preload stylesheet" as="style" type="text/css" href="https://cdn.bibblio.org/rcm/4.28.0/bib-related-content.min.css"> <link rel="preload" href="https://static.hindawi.com/new/next_assets/2023-07-28-feb27a73342c7c6488f7bc36ec4b5f/_next/static/css/b2661f2cd4bd618b.css" as="style"> <link rel="stylesheet" href="https://static.hindawi.com/new/next_assets/2023-07-28-feb27a73342c7c6488f7bc36ec4b5f/_next/static/css/b2661f2cd4bd618b.css" data-n-g=""> <style id="__jsx-903e4b2e5d3241e4">div#__next{display:-webkit-box;display:-webkit-flex;display:-moz-box;display:-ms-flexbox;display:flex;min-height:100vh;-webkit-box-orient:vertical;-webkit-box-direction:normal;-webkit-flex-direction:column;-moz-box-orient:vertical;-moz-box-direction:normal;-ms-flex-direction:column;flex-direction:column}</style> </head> <body> <div id="__next"> <section class="ant-layout"> <div> <header class="ant-layout-header"> <div class="header__width-wrapper"> <div class="ant-anchor-wrapper ant-anchor-logo" style="max-height:100vh"> <div class="ant-anchor ant-anchor-fixed"> <div class="ant-anchor-ink"> <span class="ant-anchor-ink-ball"></span> </div> <div class="ant-anchor-link ant-link-logo"> <a class="ant-anchor-link-title" href="//www.newsama.com/" title=""> <div class="ant-image"> <img alt="标志gydF4y2Ba" class="ant-image-img ant-image-logo" src="https://static.hindawi.com/new/next_assets/2023-07-28-feb27a73342c7c6488f7bc36ec4b5f/public/logo.svg"> </div></a> </div> </div> </div> <div class="TopNavigation_topNavigationWrapper__QzFKB"> <div class="TopNavigation_rightSideMenuItems__0bKf1"> <ul class="ant-menu-overflow ant-menu ant-menu-root ant-menu-horizontal ant-menu-light header-ant-menu-horizontal" role="menu" tabindex="0" data-menu-list="true" data-testid="desktop-menu"> <li class="ant-menu-overflow-item ant-menu-item ant-menu-item-only-child" style="opacity:1;order:0" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/journals/" aria-label="Journals">期刊</一个></span></li> <li class="ant-menu-overflow-item ant-menu-item ant-menu-item-only-child" style="opacity:1;order:1" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/publish-research/" aria-label="Publish with us">雷电竞下载苹果</a></span></li> <li class="ant-menu-overflow-item ant-menu-item ant-menu-item-only-child" style="opacity:1;order:2" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/publishing-partnerships/" aria-label="Publishing partnerships">raybet推荐吗</a></span></li> <li class="ant-menu-overflow-item ant-menu-item ant-menu-item-only-child" style="opacity:1;order:3" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/about/" aria-label="About us">关于我们</一个></span></li> <li class="ant-menu-overflow-item ant-menu-item ant-menu-item-only-child" style="opacity:1;order:4" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/blog/" aria-label="Blog">博客</一个></span></li> <li class="ant-menu-overflow-item ant-menu-overflow-item-rest ant-menu-submenu ant-menu-submenu-horizontal" style="opacity:0;height:0;overflow-y:hidden;order:9007199254740991;pointer-events:none;position:absolute" aria-hidden="true" role="none"> <div role="menuitem" class="ant-menu-submenu-title" tabindex="-1" aria-expanded="false" aria-haspopup="true"> <span role="img" aria-label="ellipsis" class="anticon anticon-ellipsis"> <svg viewbox="64 64 896 896" focusable="false" data-icon="ellipsis" width="1em" height="1em" fill="currentColor" aria-hidden="true"> <path d="M176 511a56 56 0 10112 0 56 56 0 10-112 0zm280 0a56 56 0 10112 0 56 56 0 10-112 0zm280 0a56 56 0 10112 0 56 56 0 10-112 0z"></path> </svg></span> <i class="ant-menu-submenu-arrow"></i> </div></li> </ul> <div style="display:none" aria-hidden="true"></div> <button data-testid="search-button-icon" aria-label="Search" type="button" class="ant-btn ant-btn-default SearchToggleButton_btn__kmpSM"><span role="img" class="anticon SearchToggleButton_icon__nurvY"> <svg width="1em" height="1em" viewbox="0 0 26 26" fill="none"> <path fill-rule="evenodd" clip-rule="evenodd" d="M22.1,23.813l-5.478-5.479a10.282,10.282,0,1,1,1.709-1.709L23.813,22.1a1.209,1.209,0,0,1-1.71,1.71ZM2.416,10.27A7.851,7.851,0,0,0,15.78,15.864l.041-.043.043-.041A7.853,7.853,0,1,0,2.416,10.27Z" fill="currentColor"></path> </svg></span></button> <div></div> <button data-testid="menu-button-icon" aria-label="Menu" type="button" class="ant-btn ant-btn-default MenuToggleButton_btn__Go00X"><span role="img" class="anticon MenuToggleButton_icon__5uVd5"> <svg width="1em" height="1em" viewbox="0 -2 28 28" fill="none"> <path fill-rule="evenodd" clip-rule="evenodd" d="M1.833,25.667a1.834,1.834,0,0,1,0-3.668H25.667a1.834,1.834,0,0,1,0,3.668Zm0-11a1.833,1.833,0,0,1,0-3.666H25.667a1.833,1.833,0,0,1,0,3.666Zm0-11A1.833,1.833,0,1,1,1.833,0H25.667a1.833,1.833,0,0,1,0,3.666Z" fill="currentColor"></path> </svg></span></button> <div></div> </div> </div> </div> </header> </div> <main class="ant-layout-content ArticleLayout_articleLayoutWrapper__oukM3"> <div> <div id="journal-header" class=" JournalNavigation_journalHeader__vGN2X" data-istranslated="false"> <a href="//www.newsama.com/journals/cmmm" class="JournalNavigation_journalHeader__titleLink__sZyGb"><h1 id="journal-header-title" data-testid="journal-header-title" class="JournalNavigation_small__sXDLc JournalNavigation_journalHeader__title__fsEHD">计算和数学方法在医学</h1gydF4y2Ba></a> <div class="JournalNavigation_navigationBarHorizontal__YojZL"> <div id="navigation-bar-horizontal" class="navigation-bar-horizontal"> <button id="Journal overview" type="button" class="ant-btn ant-btn-default ant-dropdown-trigger bordered"><span role="img" class="anticon"> <svg width="1em" height="1em" viewbox="0 0 32 32" fill="none"> <path fill-rule="evenodd" clip-rule="evenodd" d="M17.773 23.453l11.2-11.265a1.918 1.918 0 000-2.641 1.75 1.75 0 00-2.542 0l-9.929 10.101-9.933-10.1a1.75 1.75 0 00-2.542 0 1.919 1.919 0 000 2.64L15.23 23.453c.352.365.811.547 1.271.547.46 0 .92-.182 1.271-.547z" fill="currentColor"></path> </svg></span><span>日报》概述</年代pan></button> <a class="bordered" href="//www.newsama.com/journals/cmmm/guidelines">对于作者</一个> <a class="bordered" href="//www.newsama.com/publish-research/reviewers">对于审查员</一个> <a class="bordered" href="//www.newsama.com/publish-research/editors">的编辑器</一个> <a class="bordered" href="//www.newsama.com/journals/cmmm/contents/">表的内容</一个> <button id="Special Issues" type="button" class="ant-btn ant-btn-default ant-dropdown-trigger"><span role="img" class="anticon"> <svg width="1em" height="1em" viewbox="0 0 32 32" fill="none"> <path fill-rule="evenodd" clip-rule="evenodd" d="M17.773 23.453l11.2-11.265a1.918 1.918 0 000-2.641 1.75 1.75 0 00-2.542 0l-9.929 10.101-9.933-10.1a1.75 1.75 0 00-2.542 0 1.919 1.919 0 000 2.64L15.23 23.453c.352.365.811.547 1.271.547.46 0 .92-.182 1.271-.547z" fill="currentColor"></path> </svg></span><span>特殊的问题</年代pan></button> </div> </div> </div> </div> <nav class="ant-breadcrumb ArticleLayout_breadcrumbs__hsc4o"> <ol> <li><span class="ant-breadcrumb-link"><a href="//www.newsama.com/journals/cmmm/" aria-label="Computational and Mathematical Methods in Medicine">计算和数学方法在医学</一个></span><span class="ant-breadcrumb-separator">/</年代pan></li> <li><span class="ant-breadcrumb-link"><a href="//www.newsama.com/journals/cmmm/contents/year/2011/" aria-label="2011">2011年</一个></span><span class="ant-breadcrumb-separator">/</年代pan></li> <li><span class="ant-breadcrumb-link">文章</年代pan><span class="ant-breadcrumb-separator">/</年代pan></li> </ol> </nav> <div class="ant-row ThreeColumnLayout_wrapper__gPK_l"> <div class="ant-col ThreeColumnLayout_leftColumn__yqNgV"> <div> <div> <div id="article-table-of-contents" data-ismobile="false"> <div class="TableOfContents_tableOfContents__0jAuv"> <div class="TableOfContents_tableOfContents__title__CH9Lz"> 在这一页上</d我v> <a class="TableOfContents_tableOfContents__item__JJil1" href="#abstract">文摘</一个> <a class="TableOfContents_tableOfContents__item__JJil1" href="#introduction">介绍</一个> <a class="TableOfContents_tableOfContents__item__JJil1" href="#results">结果</一个> <a class="TableOfContents_tableOfContents__item__JJil1" href="#conclusion">结论</一个> <a class="TableOfContents_tableOfContents__item__JJil1" href="#acknowledgments">确认</一个> <a class="TableOfContents_tableOfContents__item__JJil1" href="#references">引用</一个> <a class="TableOfContents_tableOfContents__item__JJil1" href="#copyright">版权</一个> <a class="TableOfContents_tableOfContents__item__JJil1" href="#related-articles">相关文章</一个> </div> </div> </div> </div> </div> <div class="ant-col ThreeColumnLayout_middleColumn__sbd41"> <div class="ArticleMiddleSection_articleMiddleSection__gAv9z"> <div class="articleHeader"> <strong>研究文章|<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->开放获取</年代tr在g> <div class="articleHeader__meta"> <span>体积<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->2011年<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->|</年代pan> <span>文章的ID<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->173748年<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->|</年代pan> <span class="articleHeader__meta_doiLink"><a href="https://doi.org/10.1155/2011/173748" aria-label="Doi-link" target="_blank" rel="noreferrer">https://doi.org/10.1155/2011/173748</一个></span> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示引用</bgydF4y2Bautton> </div> <h1 class="articleHeader__title">有效降低CT金属工件基于分数阶曲率扩散</h1gydF4y2Ba> <div class="articleHeader__authors"> <span class="articleHeader__authors_author"><strong>张易</年代tr在g><a href="//www.newsama.com/cdn-cgi/l/email-protection" aria-label="Mail Option"><span role="img" class="anticon"> <svg version="1.0" xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 1401 1101"> <path fill="#6ba439" d="M132.5 2.1C101.4 6 71.1 20.5 48.3 42.4c-22.7 21.7-37.5 48.3-44.6 80l-2.2 10.1v837l2.2 10.1c6.7 30 19.3 53.9 39.8 75.3 23.3 24.3 56.4 40.9 90 45 12.8 1.6 1122.2 1.6 1135 0 38.9-4.8 75.9-25.6 100-56.4 15-19.3 24.2-39 29.8-63.9l2.2-10.1v-837l-2.2-10.1c-7.1-31.8-21.9-58.3-44.6-80.1-20.2-19.2-43.9-31.7-73.6-38.5l-9.6-2.3L705 1.4c-321.9-.1-568.5.2-572.5.7zm1123.4 99.5c1.7.4 3.1 1 3.1 1.4 0 .5-125.6 87.7-279 194L700.9 490.2 422 297C268.5 190.7 143 103.4 143 103c0-.5 1-1.1 2.3-1.3 3.5-.7 1107.1-.8 1110.6-.1zM401 404c164.4 113.8 299.4 207 300 207 .6 0 135.6-93.2 300.1-207 164.5-113.9 299.3-207 299.5-207 .2 0 .4 170.9.4 379.7 0 417.9.5 386-6.1 398.3-6.2 11.6-19 21.4-31.9 24.4-5.8 1.4-67.4 1.6-562 1.6s-556.2-.2-562-1.6c-12.9-3-25.7-12.8-31.9-24.4-6.6-12.3-6.1 19.6-6.1-398.3 0-208.8.2-379.7.5-379.7S236.6 290.1 401 404z"></path> </svg></span></a>,<年代up>1</年代up></span> <span class="articleHeader__authors_author">Yi-Fei聚氨酯<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->,<年代up>1</年代up></span> <span class="articleHeader__authors_author">Jin-Rong胡<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->,<年代up>1</年代up></span> <span class="articleHeader__authors_author">刘燕<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->,<年代up>2</年代up></span> <span class="articleHeader__authors_author">清丽陈<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->,<年代up>1</年代up></span> <span class="articleHeader__authors_author">和<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - ->Ji-Liu周<年代up>1</年代up></span> </div> <div class="simpleShowMore"> <button class="simpleShowMore__button">显示更多</bgydF4y2Bautton> </div> <div class="articleHeader__academicEditor"> <strong>学术编辑器:</年代tr在g> <span>Dimos Baltas</年代pan> </div> <div class="articleHeader__timeline"> <div class="articleHeader__timeline_item "> <strong>收到了</年代tr在g> <span>2011年4月13日</年代pan> </div> <div class="articleHeader__timeline_item "> <strong>修改后的</年代tr在g> <span>2011年5月20</年代pan> </div> <div class="articleHeader__timeline_item "> <strong>接受</年代tr在g> <span>2011年5月26日</年代pan> </div> <div class="articleHeader__timeline_item articleHeader__timeline_item_sticky"> <strong>发表</年代tr在g> <span>2011年7月24日</年代pan> </div> </div> </div> <div class="articleBody"> <div class="xml-content"> <h4 class="header" id="abstract">文摘</h4gydF4y2Ba> <p>我们提出一个新颖的金属工件还原方法基于分数阶曲率驱动扩散模型对x射线计算机断层扫描。我们的方法对投影数据用金属区域作为受损形象,利用分数阶curvature-driven扩散模型来恢复丢失的信息引起的金属。数值方案我们的方法也进行了分析。我们使用峰值信噪比作为参考措施。仿真结果证明我们的方法达到更好的性能比现有的投影插值方法,包括线性插值和全变差。</gydF4y2Bap> <span class="end-abs"></span> <h4 id="introduction">1。介绍</h4gydF4y2Ba> <p>减少金属工件(MAR)仍然是一个主要的挑战在x射线计算机断层扫描(CT)图像<一个href="#B1">1</一个>- - - - - -<一个href="#B6">6</一个>]。高密度物体,比如一个金属物体,x射线的衰减只允许有限数量的照片达到接收CT阵列的传感器。因此,条纹工件出现在过滤后的重建图像投影(FBP)。工件传遍整个图像,从而污染了成像质量。</gydF4y2Bap> <p>由于金属区域的投影数据是远远大于普通组织投影数据集,我们可以假设的部分与金属投影正弦图数据集是由金属组件。基于这样的假设,我们可以处理的金属投影数据对象作为失去信息,使用的两大类方法:投影插值方法(<一个href="#B7">7</一个>- - - - - -<一个href="#B12">12</一个>)或迭代重建方法(<一个href="#B13">13</一个>- - - - - -<一个href="#B17">17</一个>]。在理论分析之后,3月基于迭代重建方法重建性能比投影插值方法,但他们往往招致高计算成本和难以实现在当前CT成像系统。在本文中,我们专注于投影插值方法在1978年3月,Lewitt和贝茨用切比雪夫多项式实现插值(<一个href="#B7">7</一个>]。Kalender等人采用线性插值(李)<一个href="#B8">8</一个>),而克劳福德添加各种助理过程基于它(<一个href="#B9">9</一个>]。基于线性插值,顾等人提出了一个更精确的金属区域分割方法利用相邻像素的差异(<一个href="#B10">10</一个>]。赵等人提出了插值小波系数的投影数据<一个href="#B11">11</一个>]。获得更好的视觉效果,结合现有基于偏微分方程(pde)的介绍(<一个href="#B12">12</一个>,<一个href="#B13">13</一个>]。顾等人提出的修复方法是基于欧拉弹力和曲率<一个href="#B12">12</一个>]。段等人介绍了一个经典的基于全变差的图像修复方法(电视)3月(<一个href="#B13">13</一个>]。然而,现有的PDE图像修复方法不能顺利连接多种修复区域,因此,如果宽区域存在,它没有达到令人满意的结果。</gydF4y2Bap> <p>在本文中,我们提出一个分数阶curvature-driven扩散(FCDD)基于广义图像正则化框架(MAR模型<一个href="#B19">18</一个>]。首先,我们介绍了FCDD修复模型。然后,我们给我们方法的数值方案。展示我们的模拟之后,我们得出结论。</gydF4y2Bap> <h4 id="method">2。方法</h4gydF4y2Ba> <p>算法的主要步骤是类似传统投影插值算法如图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig1/" target="_blank">1</一个>。</gydF4y2Bap> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-6face4a8b13062885b2b3a67fb3b3c05"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.001.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-6face4a8b13062885b2b3a67fb3b3c05 partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.001_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-6face4a8b13062885b2b3a67fb3b3c05 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/cmmm/2011/173748/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td>投影插值算法的流程图。</tdgydF4y2Ba> </tr> </tbody> </table> </div> </div> </div> </div> <p>我们的方法之间的主要区别和传统投影插值方法在于一步”金属投影校正数据。“当金属损失原始投影数据的形式差距,传统的方法应用插入(<一个href="#B7">7</一个>,<一个href="#B8">8</一个>)或PDE修复(<一个href="#B12">12</一个>,<一个href="#B13">13</一个>)算法来恢复数据差异。但这些传统的方法有一些缺点。首先,修补后缺乏光滑边界的差距。第二,如果差距增大,修复结果不能达到令人满意的视觉效果。3月提出了CT方法是基于FCDD能够修复这些缺陷。该方法实现平滑的结果,也可以应付宽数据差距造成的工件。在本节中,我们首先介绍著名电视修补模型,然后提出我们FCDD模型。最后,我们的模型的数值算法。</gydF4y2Bap> <h5 id="sec2.1">2.1。回顾经典电视修复模型</h5gydF4y2Ba> <p>假设模型定义为一个标准的图像<年代pan class="equation" id="EEq1"> <svg height="15.75" id="M1" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 15.75" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.75)"> <g transform="translate(72,-59.4)"> <text transform="matrix(1,0,0,-1,153.55,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.0019197" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="12.165419" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.042068" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="26.681402" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="38.72179" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,198.2,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,205.16,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="17.979315" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="29.319534" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.621529" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="41.785027" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="48.661674" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="54.900673" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="268.95999" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="273.1235" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="279.375" y="0"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="11.075" id="M2" style="vertical-align:-3.25793pt;width:13.625px;" version="1.1" viewbox="0 0 13.625 11.075" width="13.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.02,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> </text> </g> </g> </svg>是原始图像,<年代vg height="7.1374998" id="M3" style="vertical-align:-0.10033pt;width:7.8874998px;" version="1.1" viewbox="0 0 7.8874998 7.1374998" width="7.8874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1375)"> <g transform="translate(72,-66.29)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>加性噪声,<年代vg height="7.1624999" id="M4" style="vertical-align:-0.11285pt;width:7.5374999px;" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>与噪声污染的图像。</gydF4y2Bap> <p>让<年代vg height="10.6875" id="M5" style="vertical-align:-0.0pt;width:11.75px;" version="1.1" viewbox="0 0 11.75 10.6875" width="11.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.6875)"> <g transform="translate(72,-63.45)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Ω</t年代pan> </text> </g> </g> </svg>是修复(打开)域的边界<年代vg height="10.8625" id="M6" style="vertical-align:-0.13794pt;width:19.737499px;" version="1.1" viewbox="0 0 19.737499 10.8625" width="19.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8625)"> <g transform="translate(72,-63.31)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> Ω</t年代pan> </text> </g> </g> </svg>,<年代vg height="10.325" id="M7" style="vertical-align:-0.0pt;width:12.225px;" version="1.1" viewbox="0 0 12.225 10.325" width="12.225" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>扩展域周围<年代vg height="10.8625" id="M8" style="vertical-align:-0.13794pt;width:19.737499px;" version="1.1" viewbox="0 0 19.737499 10.8625" width="19.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8625)"> <g transform="translate(72,-63.31)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> Ω</t年代pan> </text> </g> </g> </svg>这样<年代vg height="10.8625" id="M9" style="vertical-align:-0.13794pt;width:19.737499px;" version="1.1" viewbox="0 0 19.737499 10.8625" width="19.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8625)"> <g transform="translate(72,-63.31)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> Ω</t年代pan> </text> </g> </g> </svg>位于<年代vg height="11.175" id="M10" style="vertical-align:-0.38873pt;width:39.549999px;" version="1.1" viewbox="0 0 39.549999 11.175" width="39.549999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.175)"> <g transform="translate(72,-63.06)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.702808" y="0"> ∪</t年代pan> <tspan style="font-size: 12.50px; " x="22.230333" y="0"> Ω</t年代pan> </text> </g> </g> </svg>。提出的基于电视的图像修复模型陈和沈<一个href="#B20">19</一个>之后在这里:<年代pan class="equation" id="EEq2"> <svg height="36.700001" id="M11" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 36.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,36.7)"> <g transform="translate(72,-42.64)"> <text transform="matrix(1,0,0,-1,77.22,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="13.203168" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="21.542669" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,105.52,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,112.83,54.42)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="-0.039999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.09" y="0"> ]</t年代pan> <tspan style="font-size: 12.50px; " x="17.73" y="-0.039999999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="29.77" y="7.6599998"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,148.35,42.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="6.2489281" y="0"> ∪</t年代pan> <tspan style="font-size: 8.75px; " x="11.675168" y="0"> Ω</t年代pan> </text> <text transform="matrix(1,0,0,-1,169.12,56.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.1700001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="17.559999" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="17.559999" y="3.1700001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="65.93" y="-7.5500002"> </t年代pan> <tspan style="font-size: 12.50px; " x="2.5" y="1.59"> ∇</t年代pan> <tspan style="font-size: 12.50px; " x="11.639693" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.15" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.801596" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.753742" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.405338" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="53.382496" y="1.59"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,241.81,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> Ω</t年代pan> </text> <g> <path d="m 235.05,57.58 13.77,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,238.81,45.71)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="13.29" y="-1.05"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,257.86,42.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,267.21,56.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.1700001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5" y="1.59"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.202088" y="1.59"> −</t年代pan> <tspan style="font-size: 12.50px; " x="22.542309" y="1.59"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,295.69,51.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,300.56,56.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.1700001"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,303.06,61.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,307.94,54.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.603744" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.255341" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.456827" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="166.17999" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="170.34351" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="176.595" y="0"> )</t年代pan> </text> </g> </g> </svg></span>第一项是修复受损的正则化项领域,而第二项能量函数是数据保真项时,可以保持重要的特点和锐利的边缘噪声的存在。<年代vg height="14.475" id="M12" style="vertical-align:-3.13504pt;width:17.3375px;" version="1.1" viewbox="0 0 17.3375 14.475" width="17.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.475)"> <g transform="translate(72,-60.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-65.19,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> Ω</t年代pan> </text> </g> </g> </svg>是一个规模函数的权重调整两个方面。根据变分理论,相对应的欧拉方程(<一个href="#EEq2">2</一个>)是<年代pan class="equation" id="EEq3"> <svg height="28.9625" id="M13" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 28.9625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,28.9625)"> <g transform="translate(72,-48.83)"> <text transform="matrix(1,0,0,-1,117.33,57.29)"> <tspan style="font-size: 12.50px; " x="26.83" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.200001" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="34.200001" y="1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="51.759998" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="51.759998" y="1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> ∇</t年代pan> <tspan style="font-size: 12.50px; " x="20.467411" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="36.700001" y="7.1054274e-015"> ∇</t年代pan> <tspan style="font-size: 12.50px; " x="45.839691" y="7.1054274e-015"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,171.59,64.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,182.46,57.29)"> <tspan style="font-size: 12.50px; " x="15.07" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> ∇</t年代pan> <tspan style="font-size: 12.50px; " x="9.1396933" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="25.450001" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="36.790222" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,226.02,54.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> Ω</t年代pan> </text> <text transform="matrix(1,0,0,-1,235.11,54.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="-2.51"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.552088" y="-2.51"> −</t年代pan> <tspan style="font-size: 12.50px; " x="25.892309" y="-2.51"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,266.94,54.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,271.81,54.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.3299999" y="-2.51"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.357885" y="-2.51"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="202.31" y="-2.51"> (</t年代pan> <tspan style="font-size: 12.50px; " x="206.4735" y="-2.51"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="212.72501" y="-2.51"> )</t年代pan> </text> </g> </g> </svg></span>诺伊曼边界条件,<年代vg height="10.9125" id="M14" style="vertical-align:-0.17555pt;width:62.825001px;" version="1.1" viewbox="0 0 62.825001 10.9125" width="62.825001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.302952" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.167818" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.857643" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="43.898033" y="0"> 0</t年代pan> </text> </g> </g> </svg>在<年代vg height="10.8625" id="M15" style="vertical-align:-0.13794pt;width:19.737499px;" version="1.1" viewbox="0 0 19.737499 10.8625" width="19.737499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8625)"> <g transform="translate(72,-63.31)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> Ω</t年代pan> </text> </g> </g> </svg>,在那里<年代pan class="equation" id="eq7"> <svg height="52.575001" id="M16" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 52.575001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,52.575)"> <g transform="translate(72,-29.94)"> <text transform="matrix(1,0,0,-1,110.33,47.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,117.09,44.72)"> <tspan style="font-size: 8.75px; " x="0" y="0"> Ω</t年代pan> </text> <text transform="matrix(1,0,0,-1,127.57,47.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.580177" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="27.931702" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,161.76,44.72)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,171.11,47.85)"> <tspan style="font-size: 12.50px; " x="42.130001" y="9.7399998"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.040149" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="16.253901" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.455387" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="55.580002" y="-13.6"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.344124" y="-13.6"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="77.97287" y="-13.6"> (</t年代pan> <tspan style="font-size: 12.50px; " x="82.136375" y="-13.6"> </t年代pan> <tspan style="font-size: 12.50px; " x="89.013023" y="-13.6"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="94.214272" y="-13.6"> </t年代pan> <tspan style="font-size: 12.50px; " x="100.41576" y="-13.6"> )</t年代pan> <tspan style="font-size: 12.50px; " x="108.05509" y="-13.6"> ∈</t年代pan> <tspan style="font-size: 12.50px; " x="120.09548" y="-13.6"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.580002" y="13.36"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="61.831501" y="13.36"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="82.136375" y="13.36"> o</t年代pan> <tspan style="font-size: 12.50px; " x="88.300354" y="13.36"> t</t年代pan> <tspan style="font-size: 12.50px; " x="91.863708" y="13.36"> h</t年代pan> <tspan style="font-size: 12.50px; " x="98.115204" y="13.36"> e</t年代pan> <tspan style="font-size: 12.50px; " x="103.66653" y="13.36"> r</t年代pan> <tspan style="font-size: 12.50px; " x="108.0676" y="13.36"> w</t年代pan> <tspan style="font-size: 12.50px; " x="117.09476" y="13.36"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="120.57059" y="13.36"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="125.43426" y="13.36"> e</t年代pan> <tspan style="font-size: 12.50px; " x="130.9856" y="13.36"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="303.01001" y="0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="307.17349" y="0.0099999998"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="313.42499" y="0.0099999998"> )</t年代pan> </text> </g> </g> </svg></span>这个模型是灵感来自经典的电视去噪模型(<一个href="#B21">20.</一个>]。</gydF4y2Bap> <h5 id="sec2.2">2.2。提出FCDD修复模型</h5gydF4y2Ba> <p>经典电视修补模型,导热系数的扩散强度,它只取决于等照度线的数值<年代pan class="equation" id="EEq4"> <svg height="20.700001" id="M17" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 20.700001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,20.7)"> <g transform="translate(72,-55.44)"> <text transform="matrix(1,0,0,-1,179.73,59.28)"> <tspan style="font-size: 12.50px; " x="23.23" y="-1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="23.23" y="1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="40.799999" y="-1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="40.799999" y="1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.190185" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="25.73" y="0"> ∇</t年代pan> <tspan style="font-size: 12.50px; " x="34.869694" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,223.03,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,233.9,59.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="240.22" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="244.3835" y="0"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="250.63499" y="0"> )</t年代pan> </text> </g> </g> </svg></span>不考虑等照度线的几何信息,这就是为什么差距不能完全恢复。动机的方法(<一个href="#B22">21</一个>,<一个href="#B23">22</一个>),从这种情况中恢复过来,我们使用一个新的分数阶电导系数代替旧的:<年代pan class="equation" id="EEq5"> <svg height="21.674999" id="M18" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 21.674999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,21.675)"> <g transform="translate(72,-54.66)"> <text transform="matrix(1,0,0,-1,155.92,59.28)"> <tspan style="font-size: 12.50px; " x="33.759998" y="2.52"> </t年代pan> <tspan style="font-size: 12.50px; " x="39.610001" y="-1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="39.610001" y="1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="42.119999" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="11.190185" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="23.230574" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,205.46,64.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,210.9,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5" y="4.0999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.43" y="-7.1054274e-015"> |</t年代pan> <tspan style="font-size: 12.50px; " x="10.43" y="3.1600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="12.93" y="1.58"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,232.97,64.28)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,238.41,59.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="-1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="1.58"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,246.83,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,257.7,59.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="216.42" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="220.5835" y="0"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="226.83499" y="0"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="13.6125" id="M19" style="vertical-align:-2.34499pt;width:23.674999px;" version="1.1" viewbox="0 0 23.674999 13.6125" width="23.674999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> )</t年代pan> </text> </g> </g> </svg>是一个函数具有以下属性:<年代pan class="equation" id="EEq6"> <svg height="86.275002" id="M20" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 86.275002" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,86.275)"> <g transform="translate(72,-2.98)"> <text transform="matrix(1,0,0,-1,102.44,34.36)"> <tspan style="font-size: 12.50px; " x="39.860001" y="-22.530001"> ⎧</t年代pan> <tspan style="font-size: 12.50px; " x="39.860001" y="-17.190001"> ⎪</t年代pan> <tspan style="font-size: 12.50px; " x="39.860001" y="-7"> ⎪</t年代pan> <tspan style="font-size: 12.50px; " x="39.860001" y="3.1800001"> ⎨</t年代pan> <tspan style="font-size: 12.50px; " x="39.860001" y="13.37"> ⎪</t年代pan> <tspan style="font-size: 12.50px; " x="39.860001" y="23.559999"> ⎪</t年代pan> <tspan style="font-size: 12.50px; " x="39.860001" y="28.84"> ⎩</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="14.678522" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="27.819176" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="47.860001" y="-27.09"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="54.1115" y="-27.09"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="153.2" y="-27.09"> </t年代pan> <tspan style="font-size: 12.50px; " x="162.16466" y="-27.09"> =</t年代pan> <tspan style="font-size: 12.50px; " x="174.20505" y="-27.09"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="47.860001" y="-0.13"> ∞</t年代pan> <tspan style="font-size: 12.50px; " x="59.437778" y="-0.13"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="153.2" y="-0.13"> </t年代pan> <tspan style="font-size: 12.50px; " x="162.16466" y="-0.13"> =</t年代pan> <tspan style="font-size: 12.50px; " x="174.20505" y="-0.13"> ∞</t年代pan> <tspan style="font-size: 12.50px; " x="47.860001" y="26.83"> b</t年代pan> <tspan style="font-size: 12.50px; " x="54.1115" y="26.83"> e</t年代pan> <tspan style="font-size: 12.50px; " x="59.562809" y="26.83"> t</t年代pan> <tspan style="font-size: 12.50px; " x="63.038643" y="26.83"> w</t年代pan> <tspan style="font-size: 12.50px; " x="71.840752" y="26.83"> e</t年代pan> <tspan style="font-size: 12.50px; " x="77.392082" y="26.83"> e</t年代pan> <tspan style="font-size: 12.50px; " x="82.94342" y="26.83"> n</t年代pan> <tspan style="font-size: 12.50px; " x="93.345917" y="26.83"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="103.76091" y="26.83"> 一个</t年代pan> <tspan style="font-size: 12.50px; " x="109.31225" y="26.83"> n</t年代pan> <tspan style="font-size: 12.50px; " x="115.56374" y="26.83"> d</t年代pan> <tspan style="font-size: 12.50px; " x="125.99125" y="26.83"> ∞</t年代pan> <tspan style="font-size: 12.50px; " x="137.56903" y="26.83"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="153.19777" y="26.83"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="162.91261" y="26.83"> <</t年代pan> <tspan style="font-size: 12.50px; " x="174.95299" y="26.83"> </t年代pan> <tspan style="font-size: 12.50px; " x="183.93015" y="26.83"> <</t年代pan> <tspan style="font-size: 12.50px; " x="195.97054" y="26.83"> ∞</t年代pan> <tspan style="font-size: 12.50px; " x="207.54831" y="26.83"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="371.67999" y="-1.4210855e-014"> (</t年代pan> <tspan style="font-size: 12.50px; " x="375.84351" y="-1.4210855e-014"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="382.095" y="-1.4210855e-014"> )</t年代pan> </text> </g> </g> </svg></span>如果等照度线有一个很大的分数阶曲率,扩散强度也大。在本文中,我们选择<年代vg height="13.6125" id="M21" style="vertical-align:-2.34499pt;width:52.349998px;" version="1.1" viewbox="0 0 52.349998 13.6125" width="52.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.6125)"> <g transform="translate(72,-61.11)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.9391651" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.102664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.603985" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="24.230814" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="36.271202" y="0"> </t年代pan> </text> </g> </g> </svg>。因此,FCDD模型的欧拉方程<年代pan class="equation" id="EEq7"> <svg height="57.712502" id="M22" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 57.712502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,57.7125)"> <g transform="translate(72,-25.83)"> <text transform="matrix(1,0,0,-1,111.75,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> </t年代pan> </text> <g> <path d="m 111.75,59.47 12.31,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,112.75,47.59)"> <tspan style="font-size: 12.50px; " x="46.290001" y="-3.8399999"> </t年代pan> <tspan style="font-size: 12.50px; " x="52.029999" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.549999" y="-6.2399998"> </t年代pan> <tspan style="font-size: 12.50px; " x="68.410004" y="-10.34"> |</t年代pan> <tspan style="font-size: 12.50px; " x="68.410004" y="-7.1799998"> |</t年代pan> <tspan style="font-size: 12.50px; " x="70.910004" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3890328" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.98" y="-8.7600002"> =</t年代pan> <tspan style="font-size: 12.50px; " x="28.007887" y="-8.7600002"> ∇</t年代pan> <tspan style="font-size: 12.50px; " x="39.935749" y="-8.7600002"> ⋅</t年代pan> </text> <text transform="matrix(1,0,0,-1,191.08,61.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,196.52,57.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5" y="4.0999999"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.43" y="-7.1054274e-015"> |</t年代pan> <tspan style="font-size: 12.50px; " x="10.43" y="3.1600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="12.93" y="1.58"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,218.59,61.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,224.03,56.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="-1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="1.58"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,232.45,63.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,243.32,56.35)"> <tspan style="font-size: 12.50px; " x="15.07" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> ∇</t年代pan> <tspan style="font-size: 12.50px; " x="9.1396933" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.889999" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="38.056141" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="41.531975" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="51.959476" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="61.836845" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-73.43" y="26.719999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-64.040245" y="26.719999"> =</t年代pan> <tspan style="font-size: 12.50px; " x="-51.999859" y="26.719999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,197.25,26.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,202.12,29.63)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.166139" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="18.641973" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="29.069475" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,241.26,34.63)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,245.82,29.63)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="228.3" y="-16.16"> (</t年代pan> <tspan style="font-size: 12.50px; " x="232.4635" y="-16.16"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="238.715" y="-16.16"> )</t年代pan> </text> </g> </g> </svg></span>在这里,修复领域<年代vg height="10.325" id="M23" style="vertical-align:-0.0pt;width:12.7px;" version="1.1" viewbox="0 0 12.7 10.325" width="12.7" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是一个数学开集,<年代vg height="11.2" id="M24" style="vertical-align:-0.0pt;width:18.4125px;" version="1.1" viewbox="0 0 18.4125 11.2" width="18.4125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.2)"> <g transform="translate(72,-63.04)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.89,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>表示的外部区域<年代vg height="10.325" id="M25" style="vertical-align:-0.0pt;width:12.7px;" version="1.1" viewbox="0 0 12.7 10.325" width="12.7" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vg height="11.075" id="M26" style="vertical-align:-3.25793pt;width:13.625px;" version="1.1" viewbox="0 0 13.625 11.075" width="13.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.02,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> </text> </g> </g> </svg>是可用的图像的一部分。分数阶曲率<年代vg height="11.2" id="M27" style="vertical-align:-0.0pt;width:16.200001px;" version="1.1" viewbox="0 0 16.200001 11.2" width="16.200001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.2)"> <g transform="translate(72,-63.04)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-64.52,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>被定义为<年代pan class="equation" id="EEq8"> <svg height="28.9625" id="M28" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 28.9625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,28.9625)"> <g transform="translate(72,-48.83)"> <text transform="matrix(1,0,0,-1,142.64,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,150.07,62.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,158.98,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,180.15,62.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,188.37,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="6.3499999" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.09" y="0"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,209.6,62.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,215.03,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="8.4300003" y="0"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,232.6,62.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,238.04,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="1.58"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,246.46,64.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 8.75px; " x="2.9144161" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="8.9095364" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="13.285536" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,263.16,52.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.8200002" y="-4.9200001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="210.96001" y="-4.9200001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="215.1235" y="-4.9200001"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="221.375" y="-4.9200001"> )</t年代pan> </text> </g> </g> </svg></span></p> <h5 id="sec2.3">2.3。数值方案</h5gydF4y2Ba> <p>在本节中,我们应用一个时间计划,我们的模型。假设一个时间步长<年代vg height="10.8" id="M29" style="vertical-align:-0.11285pt;width:16.299999px;" version="1.1" viewbox="0 0 16.299999 10.8" width="16.299999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8)"> <g transform="translate(72,-63.36)"> <text transform="matrix(1,0,0,-1,-71.95,63.52)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> </t年代pan> </text> </g> </g> </svg>和一个空间网格的大小<年代vg height="10.95" id="M30" style="vertical-align:-0.1254pt;width:9.1374998px;" version="1.1" viewbox="0 0 9.1374998 10.95" width="9.1374998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.95)"> <g transform="translate(72,-63.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ℎ</t年代pan> </text> </g> </g> </svg>,我们让<年代pan class="equation" id="EEq9"> <svg height="43.849998" id="M31" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 43.849998" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,43.85)"> <g transform="translate(72,-36.92)"> <text transform="matrix(1,0,0,-1,73.74,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,80.62,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,87.31,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.928822" y="0"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="23.143053" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="38.309193" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,131.83,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,139.73,63.2)"> <tspan style="font-size: 12.50px; " x="-64.650002" y="22.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.891554" y="0"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="24.105783" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="41.822536" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.710968" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="50.924721" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="59.251717" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="71.292107" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="77.54361" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="82.757355" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="89.008858" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="94.210106" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="108.80111" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="114.01485" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="124.65491" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="134.03217" y="0"> w</t年代pan> <tspan style="font-size: 12.50px; " x="143.05933" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="146.53516" y="0"> t</t年代pan> <tspan style="font-size: 12.50px; " x="150.11102" y="0"> h</t年代pan> <tspan style="font-size: 12.50px; " x="160.52602" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="171.16608" y="0"> ℎ</t年代pan> <tspan style="font-size: 12.50px; " x="181.85614" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="193.89653" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="200.14803" y="0"> ,</t年代pan> </text> <text transform="matrix(1,0,0,-1,78.99,37.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,87.31,40.72)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.254379" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="27.281546" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.194984" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="46.361122" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="56.050949" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="68.091339" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="74.342834" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="79.544083" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="85.795586" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="91.009338" y="0"> …</t年代pan> <tspan style="font-size: 12.50px; " x="380.56" y="-10.61"> (</t年代pan> <tspan style="font-size: 12.50px; " x="384.72351" y="-10.61"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="390.97501" y="-10.61"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="397.2265" y="-10.61"> )</t年代pan> </text> </g> </g> </svg></span></p> <p>明确的计划迭代<年代pan class="equation" id="EEq10"> <svg height="28.9625" id="M32" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 28.9625" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,28.9625)"> <g transform="translate(72,-48.83)"> <text transform="matrix(1,0,0,-1,123.32,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,129.25,62.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> +</t年代pan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,147.94,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,165.9,62.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,173.53,57.29)"> <tspan style="font-size: 12.50px; " x="26.370001" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.77" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="50.77" y="1.58"> |</t年代pan> <tspan style="font-size: 12.50px; " x="53.27" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="33.73" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="42.757168" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,234.23,62.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,239.66,58.88)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.1700001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="4.5900002" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="4.5900002" y="3.1700001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="7.0900002" y="1.59"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,255.89,62.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,261.32,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="1.58"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,269.75,64.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,280.62,52.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.6800003" y="-4.9200001"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="187.25" y="-4.9200001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="191.4135" y="-4.9200001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="197.66499" y="-4.9200001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="203.9165" y="-4.9200001"> )</t年代pan> </text> </g> </g> </svg></span></p> <p>首先,我们描述的离散分数阶梯度算子<年代vg height="11.3875" id="M33" style="vertical-align:-0.15048pt;width:18.3375px;" version="1.1" viewbox="0 0 18.3375 11.3875" width="18.3375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.3875)"> <g transform="translate(72,-62.89)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,-62.81,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>和分数阶拉普拉斯算符<年代vg height="11.375" id="M34" style="vertical-align:-0.0pt;width:18.200001px;" version="1.1" viewbox="0 0 18.200001 11.375" width="18.200001" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.375)"> <g transform="translate(72,-62.9)"> <text transform="matrix(1,0,0,-1,-71.95,62.95)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代pan> </text> <text transform="matrix(1,0,0,-1,-62.92,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>使用Grumwald-Letnikov定义(<一个href="#B24">23</一个>在分数微积分的面具我们提出了<一个href="#B25">24</一个>,<一个href="#B26">25</一个>]。</gydF4y2Bap> <p>的<年代vg height="7.1750002" id="M35" style="vertical-align:-0.1254pt;width:8.9375px;" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.175)"> <g transform="translate(72,-66.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>订单Grumwald-Letnikov definition-based分数微分可以表示为<年代pan class="equation" id="EEq11"> <svg height="168.85001" id="M36" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 168.85001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,168.85)"> <g transform="translate(72,63.08)"> <text transform="matrix(1,0,0,-1,82.12,51.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,92.19,56.25)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,92,46.94)"> <tspan style="font-size: 8.75px; " x="0" y="0"> G</t年代pan> <tspan style="font-size: 8.75px; " x="6.318944" y="0"> - - - - - -</t年代pan> <tspan style="font-size: 8.75px; " x="9.2333603" y="0"> l</t年代pan> </text> <text transform="matrix(1,0,0,-1,111.25,51.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.82" y="-7.2600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.5799999" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.743499" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.62015" y="-0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="26.259481" y="-0.0099999998"> =</t年代pan> </text> <text transform="matrix(1,0,0,-1,185.47,63.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 154.02,54.37 60.94,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,154.02,42.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.640773" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="17.804272" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="27.469091" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="38.809311" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="45.085819" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="51.324814" y="0"> ]</t年代pan> </text> <text transform="matrix(1,0,0,-1,209.52,47.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,216.15,51.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.790001" y="-12.26"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.790001" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.790001" y="9.0699997"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.790001" y="12.24"> |</t年代pan> <tspan style="font-size: 12.50px; " x="7.5900002" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.753499" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.63015" y="-0.0099999998"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,241.44,36.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> G</t年代pan> <tspan style="font-size: 8.75px; " x="6.318944" y="0"> - - - - - -</t年代pan> <tspan style="font-size: 8.75px; " x="9.2333603" y="0"> l</t年代pan> </text> <text transform="matrix(1,0,0,-1,137.51,2.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="16.328918" y="0"> l</t年代pan> <tspan style="font-size: 12.50px; " x="19.804752" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="23.280586" y="0"> 米</t年代pan> </text> <text transform="matrix(1,0,0,-1,149.55,-4.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="9.6884642" y="0"> →</t年代pan> <tspan style="font-size: 8.75px; " x="19.2544" y="0"> ∞</t年代pan> </text> <text transform="matrix(1,0,0,-1,178.99,-6.8)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.65" y="-17.959999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="18.813499" y="-17.959999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="22.976997" y="-17.959999"> </t年代pan> <tspan style="font-size: 12.50px; " x="32.629314" y="-17.959999"> −</t年代pan> <tspan style="font-size: 12.50px; " x="43.969536" y="-17.959999"> </t年代pan> <tspan style="font-size: 12.50px; " x="50.24604" y="-17.959999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="54.409538" y="-17.959999"> /</t年代pan> <tspan style="font-size: 12.50px; " x="57.885372" y="-17.959999"> </t年代pan> <tspan style="font-size: 12.50px; " x="69.650696" y="-17.959999"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,252.81,16.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> </text> <g> <path d="m 193.64,6.06 70.6,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,212.26,-5.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="22.142813" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,265.44,18.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.4479518" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="13.443072" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,266.27,-3.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,266.79,-10.8)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,284.45,11.15)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.143053" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="34.483273" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.534966" y="0"> )</t年代pan> </text> <g> <path d="m 284.45,6.06 45.7,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,284.85,-5.82)"> <tspan style="font-size: 12.50px; " x="-77.970001" y="45.799999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-40.740002" y="45.799999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.143053" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="34.483273" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="40.734776" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-95.639999" y="40.880001"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="-85.562584" y="40.880001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-70.599998" y="40.880001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-60.947685" y="40.880001"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-49.607464" y="40.880001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-32.18" y="33.630001"> </t年代pan> <tspan style="font-size: 12.50px; " x="-22.527683" y="33.630001"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-11.187463" y="33.630001"> </t年代pan> </text> <g> <path d="m 252.67,-43.57 27.27,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,260.42,-55.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="38.009998" y="0.98000002"> </t年代pan> <tspan style="font-size: 12.50px; " x="53.540001" y="-8.75"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="20.719999" y="-3.8299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="28.321823" y="-3.8299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="207.45" y="-56.790001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="211.61349" y="-56.790001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="217.86501" y="-56.790001"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="224.1165" y="-56.790001"> )</t年代pan> </text> </g> </g> </svg></span>信号的持续时间在哪里<年代vg height="13.45" id="M37" style="vertical-align:-2.21957pt;width:26px;" version="1.1" viewbox="0 0 26 13.45" width="26" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5013199" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="16.54147" y="0"> )</t年代pan> </text> </g> </g> </svg>是<年代vg height="12.9125" id="M38" style="vertical-align:-1.95624pt;width:33.487499px;" version="1.1" viewbox="0 0 33.487499 12.9125" width="33.487499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.9125)"> <g transform="translate(72,-61.67)"> <text transform="matrix(1,0,0,-1,-71.95,63.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.440005" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="15.641253" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.517902" y="0"> ]</t年代pan> </text> </g> </g> </svg>,<年代vg height="7.1750002" id="M39" style="vertical-align:-0.1254pt;width:8.9375px;" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.175)"> <g transform="translate(72,-66.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是任意的实数,<年代vg height="13.45" id="M40" style="vertical-align:-2.21957pt;width:124.6875px;" version="1.1" viewbox="0 0 124.6875 13.45" width="124.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5013199" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.317135" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="30.657356" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.433983" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="41.597481" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="45.760979" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="55.413296" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="66.753517" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="73.030022" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="77.19352" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="80.669357" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="91.30941" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="95.472908" y="0"> )</t年代pan> </text> </g> </g> </svg>是离散的采样。</gydF4y2Bap> <p>如果<年代vg height="10.325" id="M41" style="vertical-align:-0.0pt;width:14.8375px;" version="1.1" viewbox="0 0 14.8375 10.325" width="14.8375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是足够大的<年代vg height="10.9125" id="M42" style="vertical-align:-0.17555pt;width:35.174999px;" version="1.1" viewbox="0 0 35.174999 10.9125" width="35.174999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.7398367" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="21.780226" y="0"> 0</t年代pan> </text> </g> </g> </svg>限制符号可以舍弃,(<一个href="#EEq11">12</一个>)是写成<年代pan class="equation" id="EEq12"> <svg height="94.462502" id="M43" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 94.462502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,94.4625)"> <g transform="translate(72,3.57)"> <text transform="matrix(1,0,0,-1,89.85,63.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,97.25,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 86.78,58.89 18.97,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,86.78,47.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,100.31,50.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,106.94,55.77)"> <tspan style="font-size: 12.50px; " x="22.790001" y="-6.9200001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.790001" y="3.75"> |</t年代pan> <tspan style="font-size: 12.50px; " x="22.790001" y="6.9099998"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.576818" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.740317" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.616966" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,132.23,46.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,138.83,46.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> - - - - - -</t年代pan> </text> <text transform="matrix(1,0,0,-1,141.74,46.21)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,105.71,12.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≅</t年代pan> <tspan style="font-size: 12.50px; " x="13.23" y="-7.25"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,125.82,25.06)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,137.25,20.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,149.01,25.06)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 118.94,15.93 35.51,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,120.01,4.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="22.142813" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,155.64,28.75)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.4479518" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="13.443072" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,156.47,6.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,156.99,-0.93)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,174.66,21.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.13055" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="34.470772" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.522465" y="0"> )</t年代pan> </text> <g> <path d="m 174.66,15.93 45.7,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,175.06,4.05)"> <tspan style="font-size: 12.50px; " x="67.639999" y="-3.8399999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.13055" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="34.470772" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="40.722271" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="46.490002" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.766987" y="-8.7600002"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="75" y="-8.7600002"> </t年代pan> <tspan style="font-size: 12.50px; " x="84.652313" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="99.239998" y="-16.01"> </t年代pan> <tspan style="font-size: 12.50px; " x="106.27919" y="-16.01"> </t年代pan> </text> <g> <path d="m 272.25,15.93 18.02,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,272.25,4.05)"> <tspan style="font-size: 12.50px; " x="21.99" y="-8.7600002"> −</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="34.529999" y="-16.01"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.306625" y="-16.01"> </t年代pan> </text> <g> <path d="m 306.78,15.93 13.66,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,307.73,4.05)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.9" y="-3.8399999"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.59" y="-8.7600002"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="160.14" y="-27.040001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="164.3035" y="-27.040001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="170.55499" y="-27.040001"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="176.8065" y="-27.040001"> )</t年代pan> </text> </g> </g> </svg></span>获得的价值<年代vg height="13.45" id="M44" style="vertical-align:-2.21957pt;width:138.8875px;" version="1.1" viewbox="0 0 138.8875 13.45" width="138.8875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5013199" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.317135" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="30.657356" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.709049" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.585697" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="48.061531" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="54.31303" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.728752" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="79.06897" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="85.845596" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="92.722244" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="96.198082" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="106.83813" y="0"> )</t年代pan> </text> </g> </g> </svg>,我们使用拉格朗日三分插值<年代vg height="13.45" id="M45" style="vertical-align:-2.21957pt;width:122.2625px;" version="1.1" viewbox="0 0 122.2625 13.45" width="122.2625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5013199" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.317135" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="30.657356" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.534004" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="41.009838" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.42556" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.765778" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.542404" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="79.41906" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="82.89489" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="93.534943" y="0"> )</t年代pan> </text> </g> </g> </svg>,<年代vg height="13.45" id="M46" style="vertical-align:-2.21957pt;width:78.375px;" version="1.1" viewbox="0 0 78.375 13.45" width="78.375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5013199" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.317135" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="30.657356" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.433983" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.310631" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="47.786465" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.426517" y="0"> )</t年代pan> </text> </g> </g> </svg>,<年代vg height="13.45" id="M47" style="vertical-align:-2.21957pt;width:122.2625px;" version="1.1" viewbox="0 0 122.2625 13.45" width="122.2625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.45)"> <g transform="translate(72,-61.24)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.5013199" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="9.6648188" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.317135" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="30.657356" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="37.534004" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="41.009838" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.42556" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.765778" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.542404" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="79.41906" y="0"> /</t年代pan> <tspan style="font-size: 12.50px; " x="82.89489" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="93.534943" y="0"> )</t年代pan> </text> </g> </g> </svg>。然后,我们得到<年代pan class="equation" id="EEq13"> <svg height="143.175" id="M48" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 143.175" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,143.175)"> <g transform="translate(72,42.54)"> <text transform="matrix(1,0,0,-1,63.84,63.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,71.25,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 60.78,58.89 18.96,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,60.78,47.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.6515961" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,74.31,50.45)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,80.94,55.77)"> <tspan style="font-size: 12.50px; " x="2.04" y="42.200001"> ≅</t年代pan> <tspan style="font-size: 12.50px; " x="15.28" y="34.950001"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.576818" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.740317" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.616966" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,103.09,25.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,114.52,20.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,126.29,25.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 96.22,16.69 35.5,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,97.29,4.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4200001" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.583499" y="-0.0099999998"> −</t年代pan> <tspan style="font-size: 12.50px; " x="22.148054" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.199745" y="-0.0099999998"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,132.92,29.51)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="7.4479518" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="13.443072" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,133.75,7.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,134.27,-0.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,151.93,21.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.143053" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="34.483273" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.534966" y="0"> )</t年代pan> </text> <g> <path d="m 151.93,16.69 45.7,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,152.33,4.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-60.080002" y="35.040001"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="-47.209999" y="42.369999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-40.860001" y="35.040001"> </t年代pan> <tspan style="font-size: 12.50px; " x="9.4300003" y="-0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.593499" y="-0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="23.133287" y="-0.0099999998"> +</t年代pan> <tspan style="font-size: 12.50px; " x="34.486012" y="-0.0099999998"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="40.737511" y="-0.0099999998"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,116.97,-33.36)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,124.99,-30.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="12.54" y="-7.25"> </t年代pan> </text> <g> <path d="m 137.53,-27.11 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,137.93,-38.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="9.9300003" y="-6.2399998"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.78" y="-8.7600002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,159.21,-33.36)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,177.6,-30.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,194.45,-33.36)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> +</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,210.06,-32.75)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.6300001" y="-2.52"> +</t年代pan> <tspan style="font-size: 12.50px; " x="21.17" y="-9.7700005"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,238.28,-17.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 231.23,-27.11 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,234.07,-38.99)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="12.36" y="-6.2399998"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.219999" y="-8.7600002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,257.79,-33.36)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,276.18,-30.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="17.591721" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,299.28,-33.36)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,307.3,-30.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.327718" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,324.14,-33.36)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> +</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,339.75,-32.75)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.8499999" y="4.8099999"> </t年代pan> <tspan style="font-size: 12.50px; " x="14.29" y="-2.52"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="128.12" y="-44.360001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="132.28349" y="-44.360001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="138.535" y="-44.360001"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="144.7865" y="-44.360001"> )</t年代pan> </text> </g> </g> </svg></span>如果<年代vg height="12.3" id="M49" style="vertical-align:-1.29163pt;width:93.912498px;" version="1.1" viewbox="0 0 93.912498 12.3" width="93.912498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.3)"> <g transform="translate(72,-62.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.239957" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.280346" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="31.970171" y="0"> ≤</t年代pan> <tspan style="font-size: 12.50px; " x="44.010559" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="57.426277" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="68.766502" y="0"> 1</t年代pan> </text> </g> </g> </svg>,从(<一个href="#EEq12">13</一个>),前<年代vg height="11.325" id="M50" style="vertical-align:-0.51414pt;width:33.362499px;" version="1.1" viewbox="0 0 33.362499 11.325" width="33.362499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.325)"> <g transform="translate(72,-62.94)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="8.9896574" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="20.329878" y="0"> 2</t年代pan> </text> </g> </g> </svg>近似向后差异部分偏微分的负面的<年代vg height="7.1624999" id="M51" style="vertical-align:-0.11285pt;width:8.7250004px;" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>- - -<年代vg height="9.8625002" id="M52" style="vertical-align:-2.29482pt;width:7.875px;" version="1.1" viewbox="0 0 7.875 9.8625002" width="7.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.8625)"> <g transform="translate(72,-64.11)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>相互重合,分别表示为<年代pan class="equation" id="EEq15"> <svg height="890.70001" id="M53" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 890.70001" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,890.7)"> <g transform="translate(72,640.56)"> <text transform="matrix(1,0,0,-1,70.8,63.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,77.18,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,82.62,63.02)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.576818" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.740317" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.616966" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.032206" y="0"> )</t年代pan> </text> <g> <path d="m 70.8,57.84 46.02,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,84.46,45.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,97.72,49.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,73.07,18.36)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≅</t年代pan> <tspan style="font-size: 12.50px; " x="14.12" y="7.3299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.700001" y="-7.25"> </t年代pan> </text> <g> <path d="m 97.77,21.48 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,98.17,9.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.62" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.16" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,128.38,30.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 121.33,21.48 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,124.17,9.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="-31.870001" y="30.98"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-20.52" y="38.299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.42" y="23.719999"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.74" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.329321" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="33.492821" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="43.145138" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="54.485355" y="-8.75"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="60.736858" y="-8.75"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="65.950607" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.1521" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-11.15" y="30.98"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-2.122834" y="30.98"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,141.64,-9.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 134.59,-18.24 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,137.43,-30.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="13.06" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="25.6" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,170.08,-9.11)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代pan> </text> <g> <path d="m 163.03,-18.24 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,165.87,-30.12)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.290001" y="-16.01"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="22.440001" y="-8.75"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="33.217587" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.794403" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="44.957905" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.834553" y="-8.75"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="57.048306" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="63.24979" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="70.188957" y="-8.75"> +</t年代pan> </text> <g> <path d="m 248.61,-18.24 33.36,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,248.61,-30.12)"> <tspan style="font-size: 12.50px; " x="-156.31" y="36.799999"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="22.142813" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,103.8,-50.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,103.08,-73.47)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,103.6,-80.65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,121.32,-74.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.5500002" y="-15.55"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="16.96476" y="-15.55"> (</t年代pan> <tspan style="font-size: 12.50px; " x="21.128258" y="-15.55"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.68055" y="-15.55"> −</t年代pan> <tspan style="font-size: 12.50px; " x="42.033276" y="-15.55"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.860634" y="-15.55"> +</t年代pan> <tspan style="font-size: 12.50px; " x="63.200851" y="-15.55"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="69.452354" y="-15.55"> )</t年代pan> </text> <g> <path d="m 128.87,-63.79 66.07,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,141.04,-75.67)"> <tspan style="font-size: 12.50px; " x="57.880001" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="64.230003" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="74.800003" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.715791" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.056011" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="31.307512" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.559013" y="0"> !</t年代pan> </text> <g> <path d="m 215.84,-63.79 7.06,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,216.24,-75.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.17" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,246.46,-54.67)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 239.41,-63.79 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,242.24,-75.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.450001" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="34.98" y="-16.969999"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="44.39476" y="-16.969999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="48.558258" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.123055" y="-16.969999"> −</t年代pan> <tspan style="font-size: 12.50px; " x="69.463272" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="76.514969" y="-16.969999"> )</t年代pan> </text> <g> <path d="m 277.22,-63.79 45.7,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,294.6,-75.67)"> <tspan style="font-size: 12.50px; " x="-171.91" y="35.02"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="-166.25" y="42.349998"> </t年代pan> <tspan style="font-size: 12.50px; " x="-135.3" y="27.77"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.7766261" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="-156.87" y="35.02"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-147.84283" y="35.02"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,166.35,-98.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 159.3,-107.57 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,162.14,-119.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.440001" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="34.970001" y="-16.98"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="44.384758" y="-16.98"> (</t年代pan> <tspan style="font-size: 12.50px; " x="48.54826" y="-16.98"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.113052" y="-16.98"> −</t年代pan> <tspan style="font-size: 12.50px; " x="69.453278" y="-16.98"> </t年代pan> <tspan style="font-size: 12.50px; " x="79.280632" y="-16.98"> −</t年代pan> <tspan style="font-size: 12.50px; " x="90.62085" y="-16.98"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="96.872353" y="-16.98"> )</t年代pan> </text> <g> <path d="m 197.11,-107.57 66.08,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,209.29,-119.44)"> <tspan style="font-size: 12.50px; " x="57.869999" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="64.230003" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="73.599998" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="83.360001" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.715791" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="25.056011" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="31.307512" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.546509" y="0"> !</t年代pan> </text> <g> <path d="m 292.65,-107.57 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,293.05,-119.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.17" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,323.27,-98.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 316.22,-107.57 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,319.05,-119.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="-146.75" y="38.290001"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.66725" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-226.75" y="30.969999"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="-215.97241" y="30.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-208.38309" y="30.969999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-204.21959" y="30.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-194.56728" y="30.969999"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-183.22705" y="30.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-176.45042" y="30.969999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-171.23668" y="30.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-165.03519" y="30.969999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-158.09602" y="30.969999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-133.64999" y="22.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-124.23524" y="22.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-120.07174" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-111.06958" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-99.729362" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-89.902" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-78.561783" y="22.75"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-72.31028" y="22.75"> )</t年代pan> </text> <g> <path d="m 179.85,-147.29 76.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,179.85,-159.16)"> <tspan style="font-size: 12.50px; " x="80.589996" y="-8.7399998"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="86.940002" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="117.89" y="-15.99"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="43.235374" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="52.662636" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.826134" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.390694" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.442383" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="96.32" y="-8.7399998"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="105.34717" y="-8.7399998"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,304.79,-138.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 297.74,-147.29 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,300.57,-159.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-138.03" y="30.969999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-122.72" y="22.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-113.30524" y="22.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-109.14174" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-100.13958" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-88.799362" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-78.972" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-67.631783" y="22.75"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="-61.380283" y="22.75"> )</t年代pan> </text> <g> <path d="m 172.3,-187.02 76.62,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,172.3,-198.89)"> <tspan style="font-size: 12.50px; " x="80.589996" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="86.940002" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.32" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="106.08" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="43.247875" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="52.662636" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.826134" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.390694" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.442383" y="0"> )</t年代pan> </text> <g> <path d="m 278.38,-187.02 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,278.78,-198.89)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.17" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,309,-177.89)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 301.95,-187.02 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,304.78,-198.89)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.66725" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="-212.48" y="29.15"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="-201.70241" y="29.15"> </t年代pan> <tspan style="font-size: 12.50px; " x="-194.1131" y="29.15"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-189.9496" y="29.15"> </t年代pan> <tspan style="font-size: 12.50px; " x="-180.29727" y="29.15"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-168.95706" y="29.15"> </t年代pan> <tspan style="font-size: 12.50px; " x="-159.96741" y="29.15"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-148.61467" y="29.15"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-142.36317" y="29.15"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-137.16193" y="29.15"> </t年代pan> <tspan style="font-size: 12.50px; " x="-130.96043" y="29.15"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-124.02128" y="29.15"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-105.92" y="20.93"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-96.505241" y="20.93"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-92.341743" y="20.93"> </t年代pan> <tspan style="font-size: 12.50px; " x="-83.352081" y="20.93"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-71.999359" y="20.93"> </t年代pan> <tspan style="font-size: 12.50px; " x="-62.172005" y="20.93"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-50.831783" y="20.93"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-44.58028" y="20.93"> )</t年代pan> </text> <g> <path d="m 193.31,-224.91 76.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,193.31,-236.79)"> <tspan style="font-size: 12.50px; " x="-101.01" y="29.68"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="-94.650002" y="37.009998"> </t年代pan> <tspan style="font-size: 12.50px; " x="-85.269997" y="29.68"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-75.510002" y="22.43"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="43.235374" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="52.662636" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.826134" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.390694" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.442383" y="0"> )</t年代pan> </text> <g> <path d="m 117.8,-263.34 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,118.2,-275.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.62" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.16" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,148.41,-254.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 141.36,-263.34 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,144.2,-275.22)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="-63.439999" y="21.4"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.440001" y="-8.75"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="33.205082" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.794403" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="44.957905" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.610218" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.962944" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.176933" y="-8.75"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="77.378181" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="83.579674" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="89.831169" y="-8.75"> ,</t年代pan> </text> <text transform="matrix(1,0,0,-1,87.15,-291.55)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,92.58,-296.62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.576818" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="11.740317" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.616966" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.032206" y="0"> )</t年代pan> </text> <g> <path d="m 80.76,-301.8 46.02,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,94.76,-313.67)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,107.35,-310.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,83.04,-343.43)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ≅</t年代pan> <tspan style="font-size: 12.50px; " x="14.12" y="7.3299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.690001" y="-7.25"> </t年代pan> </text> <g> <path d="m 107.73,-340.31 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,108.13,-352.18)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.16" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,138.35,-331.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 131.29,-340.31 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,134.13,-352.18)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="-41.830002" y="30.98"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-30.48" y="38.299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0.46000001" y="23.719999"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.75" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.326818" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="33.490318" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.366966" y="-8.75"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="45.580719" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.557873" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="65.898094" y="-8.75"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="72.14959" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-21.110001" y="30.98"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-12.082834" y="30.98"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,141.64,-370.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 134.59,-380.03 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,137.43,-391.91)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="13.06" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="25.6" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,170.08,-370.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代pan> </text> <g> <path d="m 163.03,-380.03 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,165.87,-391.91)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.290001" y="-16.01"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="22.440001" y="-8.75"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="33.217587" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.794403" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="44.957905" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.834553" y="-8.75"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="57.048306" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="63.24979" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="70.188957" y="-8.75"> +</t年代pan> </text> <g> <path d="m 248.61,-380.03 33.36,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,248.61,-391.91)"> <tspan style="font-size: 12.50px; " x="-156.31" y="36.799999"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="22.142813" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> )</t年代pan> </text> <text transform="matrix(1,0,0,-1,103.8,-412.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.3497438" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="10.344864" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,103.08,-435.26)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,103.6,-442.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</t年代pan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,121.32,-436.04)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.5500002" y="-15.55"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="16.96476" y="-15.55"> (</t年代pan> <tspan style="font-size: 12.50px; " x="21.128258" y="-15.55"> </t年代pan> <tspan style="font-size: 12.50px; " x="30.68055" y="-15.55"> −</t年代pan> <tspan style="font-size: 12.50px; " x="42.033276" y="-15.55"> </t年代pan> <tspan style="font-size: 12.50px; " x="51.860634" y="-15.55"> +</t年代pan> <tspan style="font-size: 12.50px; " x="63.200851" y="-15.55"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="69.452354" y="-15.55"> )</t年代pan> </text> <g> <path d="m 128.87,-425.58 66.07,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,141.04,-437.46)"> <tspan style="font-size: 12.50px; " x="57.880001" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="64.230003" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="74.800003" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.715791" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.056011" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="31.307512" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.559013" y="0"> !</t年代pan> </text> <g> <path d="m 215.84,-425.58 7.06,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,216.24,-437.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.17" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,246.46,-416.46)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 239.41,-425.58 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,242.24,-437.46)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.530001" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="37.07" y="-16.969999"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="46.48476" y="-16.969999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="50.648258" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="60.20055" y="-16.969999"> −</t年代pan> <tspan style="font-size: 12.50px; " x="71.540771" y="-16.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="78.592461" y="-16.969999"> )</t年代pan> </text> <g> <path d="m 279.31,-425.58 45.7,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,296.69,-437.46)"> <tspan style="font-size: 12.50px; " x="-171.91" y="35.02"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="-166.25" y="42.349998"> </t年代pan> <tspan style="font-size: 12.50px; " x="-135.31" y="27.77"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.7766261" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="-156.88" y="35.02"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-147.85283" y="35.02"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,168.43,-460.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 161.38,-469.36 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,164.22,-481.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="22.440001" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="34.98" y="-16.98"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="44.39476" y="-16.98"> (</t年代pan> <tspan style="font-size: 12.50px; " x="48.558258" y="-16.98"> </t年代pan> <tspan style="font-size: 12.50px; " x="58.11055" y="-16.98"> −</t年代pan> <tspan style="font-size: 12.50px; " x="69.450768" y="-16.98"> </t年代pan> <tspan style="font-size: 12.50px; " x="79.290634" y="-16.98"> −</t年代pan> <tspan style="font-size: 12.50px; " x="90.630852" y="-16.98"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="96.882355" y="-16.98"> )</t年代pan> </text> <g> <path d="m 199.2,-469.36 66.07,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,211.37,-481.23)"> <tspan style="font-size: 12.50px; " x="57.880001" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="64.230003" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="73.610001" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="83.370003" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.715791" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="25.056011" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="31.307512" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.559013" y="0"> !</t年代pan> </text> <g> <path d="m 294.74,-469.36 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,295.14,-481.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.62" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.16" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,325.35,-460.23)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 318.3,-469.36 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,321.14,-481.24)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="-148.84" y="38.290001"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.657249" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-228.84" y="30.969999"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="-218.06241" y="30.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-210.4731" y="30.969999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-206.3096" y="30.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-199.43294" y="30.969999"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-194.23169" y="30.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-185.24203" y="30.969999"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-173.90182" y="30.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-167.1252" y="30.969999"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-160.18602" y="30.969999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-135.74001" y="22.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-126.32524" y="22.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-122.16174" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-113.15958" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-101.81936" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-91.992004" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-80.651779" y="22.75"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-74.400284" y="22.75"> )</t年代pan> </text> <g> <path d="m 179.85,-509.08 76.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,179.85,-520.95)"> <tspan style="font-size: 12.50px; " x="80.589996" y="-8.7399998"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="86.940002" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="117.89" y="-15.99"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="43.235374" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="52.662636" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.826134" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.390694" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.442383" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="96.32" y="-8.7399998"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="105.34717" y="-8.7399998"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,304.79,-499.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 297.74,-509.08 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,300.57,-520.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-138.03" y="30.969999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-122.72" y="22.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-113.30524" y="22.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-109.14174" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-100.13958" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-88.799362" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-78.972" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-67.631783" y="22.75"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="-61.380283" y="22.75"> )</t年代pan> </text> <g> <path d="m 172.3,-548.81 76.62,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,172.3,-560.68)"> <tspan style="font-size: 12.50px; " x="80.589996" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="86.940002" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.32" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="106.08" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="43.247875" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="52.662636" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.826134" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.390694" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.442383" y="0"> )</t年代pan> </text> <g> <path d="m 278.38,-548.81 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,278.78,-560.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.17" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,309,-539.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 301.95,-548.81 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,304.78,-560.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.66725" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="-212.48" y="29.15"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="-201.70241" y="29.15"> </t年代pan> <tspan style="font-size: 12.50px; " x="-194.1131" y="29.15"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-189.9496" y="29.15"> </t年代pan> <tspan style="font-size: 12.50px; " x="-183.07294" y="29.15"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-177.87169" y="29.15"> </t年代pan> <tspan style="font-size: 12.50px; " x="-168.88203" y="29.15"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-157.54182" y="29.15"> </t年代pan> <tspan style="font-size: 12.50px; " x="-148.55215" y="29.15"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-137.21194" y="29.15"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-130.96043" y="29.15"> )</t年代pan> <tspan style="font-size: 12.50px; " x="-124.02128" y="29.15"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-105.92" y="20.93"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-96.505241" y="20.93"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-92.341743" y="20.93"> </t年代pan> <tspan style="font-size: 12.50px; " x="-83.352081" y="20.93"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-71.999359" y="20.93"> </t年代pan> <tspan style="font-size: 12.50px; " x="-62.172005" y="20.93"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-50.831783" y="20.93"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-44.58028" y="20.93"> )</t年代pan> </text> <g> <path d="m 193.31,-586.7 76.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,193.31,-598.58)"> <tspan style="font-size: 12.50px; " x="-101.01" y="29.68"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="-94.650002" y="37.009998"> </t年代pan> <tspan style="font-size: 12.50px; " x="-85.269997" y="29.68"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-75.510002" y="22.43"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="43.235374" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="52.662636" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.826134" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.390694" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.442383" y="0"> )</t年代pan> </text> <g> <path d="m 117.8,-625.13 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,118.2,-637.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.62" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.16" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,148.41,-616.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 141.36,-625.13 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,144.2,-637.01)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.74" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.316818" y="-8.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="33.480316" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="40.356968" y="-8.75"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="45.570717" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="54.547871" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.888092" y="-8.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.102081" y="-8.75"> )</t年代pan> <tspan style="font-size: 12.50px; " x="78.353584" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="323.67001" y="-349.60001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="327.8335" y="-349.60001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="334.08499" y="-349.60001"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="340.33649" y="-349.60001"> )</t年代pan> </text> </g> </g> </svg></span></p> <p>为简单起见,我们只使用分数阶面具在四个方向的计算,包括积极的<年代vg height="7.1624999" id="M54" style="vertical-align:-0.11285pt;width:8.7250004px;" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>- - -<年代vg height="9.8625002" id="M55" style="vertical-align:-2.29482pt;width:7.875px;" version="1.1" viewbox="0 0 7.875 9.8625002" width="7.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.8625)"> <g transform="translate(72,-64.11)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>坐标和消极的<年代vg height="7.1624999" id="M56" style="vertical-align:-0.11285pt;width:8.7250004px;" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>- - -<年代vg height="9.8625002" id="M57" style="vertical-align:-2.29482pt;width:7.875px;" version="1.1" viewbox="0 0 7.875 9.8625002" width="7.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.8625)"> <g transform="translate(72,-64.11)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>相互重合。让<年代vg height="15.6125" id="M58" style="vertical-align:-3.54364pt;width:26.6px;" version="1.1" viewbox="0 0 26.6 15.6125" width="26.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.6125)"> <g transform="translate(72,-59.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.89,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1800003"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.6336002" y="8.1800003"> +</t年代pan> </text> </g> </g> </svg>,<年代vg height="15.2125" id="M59" style="vertical-align:-3.21404pt;width:26.6px;" version="1.1" viewbox="0 0 26.6 15.2125" width="26.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.2125)"> <g transform="translate(72,-59.83)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.89,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1300001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.6336002" y="8.1300001"> −</t年代pan> </text> </g> </g> </svg>,<年代vg height="17.174999" id="M60" style="vertical-align:-4.79012pt;width:26.012501px;" version="1.1" viewbox="0 0 26.012501 17.174999" width="26.012501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.175)"> <g transform="translate(72,-58.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.89,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1800003"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1609921" y="8.1800003"> +</t年代pan> </text> </g> </g> </svg>,<年代vg height="17.112499" id="M61" style="vertical-align:-4.74141pt;width:26.012501px;" version="1.1" viewbox="0 0 26.012501 17.112499" width="26.012501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.1125)"> <g transform="translate(72,-58.31)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.89,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1300001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1609921" y="8.1300001"> −</t年代pan> </text> </g> </g> </svg>表示四个方向的计算,如图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig2/" target="_blank">2</一个>。</gydF4y2Bap> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-fd14c0b8137284627a029af0d4880e67"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.002a.jpg"> <br> <strong>(一)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.002b.jpg"> <br> <strong>(b)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(c)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.002c.jpg"> <br> <strong>(c)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(d)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.002d.jpg"> <br> <strong>(d)</年代tr在g> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-fd14c0b8137284627a029af0d4880e67 partial-carousel-thumbnail"> <button aria-label="Slide to (a) " class="partial-carousel-dot"><img loading="lazy" alt="(一)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.002a_th.jpg"><br><strong>(一)</年代tr在g></button> <button aria-label="Slide to (b) " class="partial-carousel-dot"><img loading="lazy" alt="(b)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.002b_th.jpg"><br><strong>(b)</年代tr在g></button> <button aria-label="Slide to (c) " class="partial-carousel-dot"><img loading="lazy" alt="(c)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.002c_th.jpg"><br><strong>(c)</年代tr在g></button> <button aria-label="Slide to (d) " class="partial-carousel-dot"><img loading="lazy" alt="(d)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.002d_th.jpg"><br><strong>(d)</年代tr在g></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-fd14c0b8137284627a029af0d4880e67 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/cmmm/2011/173748/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td>四个方向的面具:(a)<年代vg height="15.6125" id="M62" style="vertical-align:-3.54364pt" version="1.1" viewbox="0 0 26.6 15.6125" width="26.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.6125)"> <g transform="translate(72,-59.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.89,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1800003"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.6336002" y="8.1800003"> +</t年代pan> </text> </g> </g> </svg>,(b)<年代vg height="15.2125" id="M63" style="vertical-align:-3.21404pt" version="1.1" viewbox="0 0 26.6 15.2125" width="26.6" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.2125)"> <g transform="translate(72,-59.83)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.89,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1300001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.6336002" y="8.1300001"> −</t年代pan> </text> </g> </g> </svg>,(c)<年代vg height="17.174999" id="M64" style="vertical-align:-4.79012pt" version="1.1" viewbox="0 0 26.012501 17.174999" width="26.012501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.175)"> <g transform="translate(72,-58.26)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.89,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1800003"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1609921" y="8.1800003"> +</t年代pan> </text> </g> </g> </svg>,(d)<年代vg height="17.112499" id="M65" style="vertical-align:-4.74141pt" version="1.1" viewbox="0 0 26.012501 17.112499" width="26.012501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.1125)"> <g transform="translate(72,-58.31)"> <text transform="matrix(1,0,0,-1,-71.95,63.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-61.89,68.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1300001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1609921" y="8.1300001"> −</t年代pan> </text> </g> </g> </svg>。</tdgydF4y2Ba> </tr> </tbody> </table> </div> </div> </div> </div> <p>面具的系数图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig2/" target="_blank">2</一个>给出如下:<年代pan class="equation" id="EEq16"> <svg height="624.72498" id="M66" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 624.72498" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,624.725)"> <g transform="translate(72,427.78)"> <text transform="matrix(1,0,0,-1,93.16,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,101.55,50.65)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,105.4,48.47)"> <tspan style="font-size: 6.25px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 6.25px; " x="4.28262" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,117.28,53.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="13.23" y="-7.25"> </t年代pan> </text> <g> <path d="m 130.51,56.91 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,130.91,45.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.17" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,161.13,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 154.08,56.91 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,156.91,45.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="-59.470001" y="27.309999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,105.83,14.59)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,109.68,12.4)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,117.28,17.72)"> <tspan style="font-size: 12.50px; " x="33.610001" y="-7.25"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="21.055052" y="0"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,157.94,29.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 150.89,20.84 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,153.72,8.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="13.07" y="-8.7600002"> −</t年代pan> <tspan style="font-size: 12.50px; " x="25.6" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,186.38,29.97)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代pan> </text> <g> <path d="m 179.32,20.84 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,182.16,8.96)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="-84.720001" y="27.309999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,105.83,-21.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,109.68,-23.66)"> <tspan style="font-size: 6.25px; " x="0" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,117.28,-18.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="21.799999" y="-7.2600002"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="28.0515" y="-7.2600002"> </t年代pan> </text> <g> <path d="m 139.08,-15.22 13.3,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,142.6,-27.1)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="13.75" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="26.290001" y="-16.01"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="32.5415" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,182.2,-6.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 3</t年代pan> </text> <g> <path d="m 168.89,-15.22 18.18,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,171.73,-27.1)"> <tspan style="font-size: 12.50px; " x="19.309999" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="32.139999" y="-16.01"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 6</t年代pan> </text> <text transform="matrix(1,0,0,-1,210.92,-6.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 4</t年代pan> </text> <g> <path d="m 203.58,-15.22 12.51,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,203.58,-27.1)"> <tspan style="font-size: 12.50px; " x="-99.639999" y="17.889999"> ⋮</t年代pan> <tspan style="font-size: 12.50px; " x="-106.4" y="49.110001"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 6</t年代pan> </text> <text transform="matrix(1,0,0,-1,105.57,-79.34)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,109.42,-81.53)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,117.28,-76.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="26.790001" y="-7.25"> 1</t年代pan> </text> <g> <path d="m 130.51,-73.09 33.37,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,130.51,-84.97)"> <tspan style="font-size: 12.50px; " x="36.650002" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="22.142813" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="44.200001" y="-16.98"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="53.614758" y="-16.98"> (</t年代pan> <tspan style="font-size: 12.50px; " x="57.778259" y="-16.98"> </t年代pan> <tspan style="font-size: 12.50px; " x="67.330551" y="-16.98"> −</t年代pan> <tspan style="font-size: 12.50px; " x="78.670769" y="-16.98"> </t年代pan> <tspan style="font-size: 12.50px; " x="88.510635" y="-16.98"> +</t年代pan> <tspan style="font-size: 12.50px; " x="99.850853" y="-16.98"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="106.10236" y="-16.98"> )</t年代pan> </text> <g> <path d="m 174.71,-73.09 66.07,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,186.88,-84.96)"> <tspan style="font-size: 12.50px; " x="57.869999" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="64.230003" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="74.800003" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.715791" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="25.056011" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="31.307512" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.559013" y="0"> !</t年代pan> </text> <g> <path d="m 261.68,-73.09 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,262.08,-84.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.16" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,292.3,-63.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 285.24,-73.09 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,288.08,-84.97)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-121.68" y="30.969999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-109.14" y="22.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-99.725243" y="22.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-95.561745" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-86.009453" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-74.669228" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-67.617538" y="22.75"> )</t年代pan> </text> <g> <path d="m 178.94,-112.81 45.7,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,196.32,-124.69)"> <tspan style="font-size: 12.50px; " x="32.290001" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="38.650002" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="69.589996" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="6.7766261" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="48.02" y="-8.75"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="57.047165" y="-8.75"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,272.96,-103.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 265.91,-112.81 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,268.75,-124.69)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="-99.769997" y="30.969999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-90.010002" y="22.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-80.595238" y="22.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-76.43174" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-66.866943" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-55.526726" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-45.699368" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-34.359146" y="22.75"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="-28.107647" y="22.75"> )</t年代pan> </text> <g> <path d="m 178.74,-152.54 66.08,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,190.92,-164.41)"> <tspan style="font-size: 12.50px; " x="57.869999" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="64.220001" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="73.599998" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="83.360001" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.715791" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="25.056011" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="31.307512" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="37.546509" y="0"> !</t年代pan> </text> <g> <path d="m 274.28,-152.54 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,274.68,-164.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.17" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,304.9,-143.41)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 297.85,-152.54 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,300.68,-164.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="-196.74001" y="21.219999"> ⋮</t年代pan> <tspan style="font-size: 12.50px; " x="-210.63" y="52.450001"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.66725" y="-1.42"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,98.44,-219.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,102.3,-222.17)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 6.25px; " x="3.107244" y="0"> −</t年代pan> <tspan style="font-size: 6.25px; " x="7.389864" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,117.28,-216.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="26.790001" y="-7.2600002"> 1</t年代pan> </text> <g> <path d="m 130.51,-213.73 33.37,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,130.51,-225.61)"> <tspan style="font-size: 12.50px; " x="36.650002" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="44.200001" y="-16.969999"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="9.4147587" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="13.578258" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="22.142813" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="29.194506" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="53.619999" y="-16.98"> (</t年代pan> <tspan style="font-size: 12.50px; " x="57.783501" y="-16.98"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.773155" y="-16.98"> −</t年代pan> <tspan style="font-size: 12.50px; " x="78.11338" y="-16.98"> </t年代pan> <tspan style="font-size: 12.50px; " x="87.940735" y="-16.98"> −</t年代pan> <tspan style="font-size: 12.50px; " x="99.280952" y="-16.98"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="105.53246" y="-16.98"> )</t年代pan> </text> <g> <path d="m 174.71,-213.73 65.51,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,186.88,-225.6)"> <tspan style="font-size: 12.50px; " x="57.310001" y="-8.7399998"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="63.66" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="74.239998" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> !</t年代pan> </text> <g> <path d="m 261.12,-213.73 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,261.52,-225.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.62" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.16" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,291.73,-204.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 284.68,-213.73 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,287.52,-225.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-121.12" y="30.969999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-108.58" y="22.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-99.165237" y="22.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-95.00174" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-86.012085" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-74.671867" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-64.832001" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-53.491783" y="22.75"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="-47.24028" y="22.75"> )</t年代pan> </text> <g> <path d="m 178.94,-253.45 65.51,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,191.11,-265.33)"> <tspan style="font-size: 12.50px; " x="57.310001" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="63.669998" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="94.610001" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="73.040001" y="-8.75"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="82.067169" y="-8.75"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,292.77,-244.33)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 285.72,-253.45 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,288.56,-265.33)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="-119.58" y="30.969999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-109.82" y="22.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-100.40524" y="22.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-96.241745" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-87.239578" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-75.899361" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-66.072006" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-54.731781" y="22.75"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="-48.480282" y="22.75"> )</t年代pan> </text> <g> <path d="m 178.74,-293.18 65.51,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,190.92,-305.05)"> <tspan style="font-size: 12.50px; " x="57.310001" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="63.66" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="73.040001" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="82.800003" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 3</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.983875" y="0"> !</t年代pan> </text> <g> <path d="m 273.72,-293.18 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,274.12,-305.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.7600002"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.16" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,304.34,-284.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 297.28,-293.18 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,300.12,-305.06)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="-210.07001" y="30.969999"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="19.66725" y="-1.4299999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,98.44,-339.15)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,102.3,-341.34)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 6.25px; " x="3.107244" y="0"> −</t年代pan> <tspan style="font-size: 6.25px; " x="7.389864" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,117.28,-336.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="18.780001" y="-8.2200003"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="28.194759" y="-8.2200003"> (</t年代pan> <tspan style="font-size: 12.50px; " x="32.358257" y="-8.2200003"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.360416" y="-8.2200003"> −</t年代pan> <tspan style="font-size: 12.50px; " x="52.700638" y="-8.2200003"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.527996" y="-8.2200003"> −</t年代pan> <tspan style="font-size: 12.50px; " x="73.868217" y="-8.2200003"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="80.11972" y="-8.2200003"> )</t年代pan> </text> <g> <path d="m 130.51,-332.9 76.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,130.51,-344.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="80.589996" y="-8.7399998"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="86.940002" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="117.89" y="-15.99"> </t年代pan> <tspan style="font-size: 12.50px; " x="4.1700001" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.147154" y="0.0099999998"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.499878" y="0.0099999998"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="30.751377" y="0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.990376" y="0.0099999998"> !</t年代pan> <tspan style="font-size: 12.50px; " x="43.241875" y="0.0099999998"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="52.669136" y="0.0099999998"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.832638" y="0.0099999998"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.397194" y="0.0099999998"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.448883" y="0.0099999998"> )</t年代pan> <tspan style="font-size: 12.50px; " x="96.32" y="-8.7399998"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="105.34717" y="-8.7399998"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,255.45,-323.77)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 248.4,-332.9 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,251.24,-344.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="-124.69" y="30.969999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-106.6" y="22.75"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="-97.185242" y="22.75"> (</t年代pan> <tspan style="font-size: 12.50px; " x="-93.021744" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-84.032082" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-72.691864" y="22.75"> </t年代pan> <tspan style="font-size: 12.50px; " x="-62.852001" y="22.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="-51.511784" y="22.75"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="-45.260281" y="22.75"> )</t年代pan> </text> <g> <path d="m 139.09,-372.63 76.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,139.09,-384.5)"> <tspan style="font-size: 12.50px; " x="80.580002" y="-8.75"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="86.940002" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.309998" y="-8.75"> −</t年代pan> <tspan style="font-size: 12.50px; " x="106.07" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.140653" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.983875" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="43.235374" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="52.662636" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.826134" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.390694" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.442383" y="0"> )</t年代pan> </text> <g> <path d="m 245.16,-372.63 7.06,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,245.56,-384.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.17" y="-16"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,275.78,-363.5)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 268.73,-372.63 11.92,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,271.57,-384.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.28" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="-174.11" y="30.98"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,105.85,-418.6)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,109.7,-420.79)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,117.28,-415.48)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="18.780001" y="-8.2200003"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="28.209999" y="-8.2299995"> (</t年代pan> <tspan style="font-size: 12.50px; " x="32.373501" y="-8.2299995"> </t年代pan> <tspan style="font-size: 12.50px; " x="41.350655" y="-8.2299995"> −</t年代pan> <tspan style="font-size: 12.50px; " x="52.703377" y="-8.2299995"> </t年代pan> <tspan style="font-size: 12.50px; " x="62.530735" y="-8.2299995"> −</t年代pan> <tspan style="font-size: 12.50px; " x="73.870956" y="-8.2299995"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="80.122459" y="-8.2299995"> )</t年代pan> </text> <g> <path d="m 130.51,-412.35 76.61,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,130.51,-424.22)"> <tspan style="font-size: 12.50px; " x="80.589996" y="-8.7399998"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="86.940002" y="-1.42"> </t年代pan> <tspan style="font-size: 12.50px; " x="96.32" y="-8.7399998"> −</t年代pan> <tspan style="font-size: 12.50px; " x="106.08" y="-16"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.153156" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="24.493378" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="30.744877" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="36.996376" y="0"> !</t年代pan> <tspan style="font-size: 12.50px; " x="43.235374" y="0"> Γ</t年代pan> <tspan style="font-size: 12.50px; " x="52.662636" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="56.826134" y="0"> −</t年代pan> <tspan style="font-size: 12.50px; " x="65.390694" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="72.442383" y="0"> )</t年代pan> </text> <g> <path d="m 236.59,-412.35 7.05,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,236.99,-424.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 4</t年代pan> <tspan style="font-size: 12.50px; " x="10.63" y="-8.75"> +</t年代pan> <tspan style="font-size: 12.50px; " x="23.16" y="-16.01"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,267.21,-403.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 260.15,-412.35 11.93,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,262.99,-424.23)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="10.29" y="-1.4299999"> </t年代pan> <tspan style="font-size: 12.50px; " x="21.75" y="-8.75"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="204.88" y="-243.21001"> (</t年代pan> <tspan style="font-size: 12.50px; " x="209.0435" y="-243.21001"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="215.295" y="-243.21001"> 6</t年代pan> <tspan style="font-size: 12.50px; " x="221.54649" y="-243.21001"> )</t年代pan> </text> </g> </g> </svg></span>因此,我们得到一个每一项的离散表示<年代pan class="equation" id="EEq17"> <svg height="409.83749" id="M67" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 409.83749" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,409.8375)"> <g transform="translate(72,255.87)"> <text transform="matrix(1,0,0,-1,108.44,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Δ</t年代pan> <tspan style="font-size: 12.50px; " x="9.0271664" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="18.41692" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="30.457308" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,144.83,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,152.92,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,170.19,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,175.03,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-62.880001" y="28.360001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,118.08,31.72)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,126.86,34.84)"> <tspan style="font-size: 12.50px; " x="58.939999" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.300003" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="21.767723" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="25.243557" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="44.348141" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="50.59964" y="0"> d</t年代pan> </text> <text transform="matrix(1,0,0,-1,199.09,39.85)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="8.1300001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,204.4,34.84)"> <tspan style="font-size: 12.50px; " x="56.27" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="19.092081" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="22.567915" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="31.945166" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="41.672501" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="47.924" y="0"> d</t年代pan> <tspan style="font-size: 12.50px; " x="63.639999" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="69.891502" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,280.21,39.85)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="8.1300001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,285.53,34.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="11.452748" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,302.91,40.98)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="8.8000002"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,309.32,29.92)"> <tspan style="font-size: 12.50px; " x="17.290001" y="-4.9200001"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-196.7" y="27.110001"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.6018238" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,118.55,-0.32)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,126.86,2.81)"> <tspan style="font-size: 12.50px; " x="58.939999" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="66.300003" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="21.767723" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="25.243557" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="34.620808" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="44.348141" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="50.59964" y="0"> d</t年代pan> </text> <text transform="matrix(1,0,0,-1,199.09,7.81)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="8.1300001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,203.93,2.81)"> <tspan style="font-size: 12.50px; " x="56.27" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="9.364747" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="19.092081" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="22.567915" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="31.945166" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="41.672501" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="47.924" y="0"> d</t年代pan> <tspan style="font-size: 12.50px; " x="63.630001" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="69.8815" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,279.74,7.81)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="8.1300001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,284.58,2.81)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="11.452748" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,301.97,8.95)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="0" y="8.79"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,308.37,-2.11)"> <tspan style="font-size: 12.50px; " x="17.290001" y="-4.9200001"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-221.35001" y="26.57"> |</t年代pan> <tspan style="font-size: 12.50px; " x="-221.35001" y="29.73"> |</t年代pan> <tspan style="font-size: 12.50px; " x="-218.85001" y="28.16"> ∇</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.6018238" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,98.66,-25.27)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,104.09,-30.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="1.5700001"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,112.52,-23.51)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</t年代pan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</t年代pan> </text> <text transform="matrix(1,0,0,-1,126.86,-30.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="78.519997" y="-7.25"> 1</t年代pan> </text> <g> <path d="m 140.1,-27.14 136.81,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,140.1,-56.56)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 154.15,-31.27 122.76,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,154.15,-55.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.3600001" y="-6.5100002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="7.3600001" y="-3.3499999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="9.8699999" y="-4.9200001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,174.08,-45.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1800003"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.6236" y="8.1800003"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,185.2,-50.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="1.5700001"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,193.63,-43.53)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,201.28,-50.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.34" y="-1.9"> |</t年代pan> <tspan style="font-size: 12.50px; " x="11.34" y="1.88"> |</t年代pan> <tspan style="font-size: 12.50px; " x="13.84" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,225.19,-45.4)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1800003"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1509919" y="8.1800003"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,235.84,-50.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="-1.9"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="1.88"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,244.26,-43.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,251.91,-50.29)"> <tspan style="font-size: 12.50px; " x="17.4" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.200001" y="-20.02"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="-141.38" y="38.799999"> </t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,117.96,-84.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,126.86,-89.09)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,148.04,-84.08)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,155.56,-96.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="13.07" y="-14.58"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,177.77,-76.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,183.21,-81.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 166.13,-85.96 25.5,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,166.13,-97.3)"> <tspan style="font-size: 12.50px; " x="0" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="3.1600001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="2.5" y="1.59"> ∇</t年代pan> </text> <text transform="matrix(1,0,0,-1,177.77,-93.89)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,183.21,-98.89)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="1.5700001"> |</t年代pan> <tspan style="font-size: 12.50px; " x="9.6199999" y="-2.48"> </t年代pan> <tspan style="font-size: 12.50px; " x="-56.349998" y="49.009998"> =</t年代pan> <tspan style="font-size: 12.50px; " x="-44.309612" y="49.009998"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,148.97,-142.9)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1300001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.6236" y="8.1300001"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,162.17,-124.21)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎛</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="10.75"> ⎜</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="21.5"> ⎜</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="32.259998"> ⎜</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="43.009998"> ⎜</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="53.700001"> ⎝</t年代pan> <tspan style="font-size: 12.50px; " x="61.669998" y="14.14"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,233.91,-133.35)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1800003"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.6236" y="8.1800003"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,245.03,-138.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 168.99,-144.78 136.82,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,168.99,-174.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 183.04,-148.9 122.77,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,183.04,-172.84)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.3699999" y="-6.5100002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="7.3699999" y="-3.3499999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="9.8699999" y="-4.9200001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,202.97,-163.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1700001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.6336002" y="8.1700001"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,214.09,-167.92)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="1.5700001"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,222.52,-161.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,230.17,-167.92)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.35" y="-1.9"> |</t年代pan> <tspan style="font-size: 12.50px; " x="11.35" y="1.89"> |</t年代pan> <tspan style="font-size: 12.50px; " x="13.85" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,254.08,-163.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1700001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1609921" y="8.1700001"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,264.73,-167.92)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-1.9"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="1.89"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,273.16,-160.85)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,280.81,-167.92)"> <tspan style="font-size: 12.50px; " x="17.389999" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-43.709999"> ⎞</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-32.959999"> ⎟</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-22.209999"> ⎟</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-11.45"> ⎟</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-0.69999999"> ⎟</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="9.9899998"> ⎠</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="-144.67999" y="56.549999"> +</t年代pan> <tspan style="font-size: 12.50px; " x="-133.33978" y="56.549999"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,157.54,-219.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1300001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1509919" y="8.1300001"> −</t年代pan> </text> <text transform="matrix(1,0,0,-1,170.27,-200.78)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ⎛</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="10.75"> ⎜</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="21.5"> ⎜</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="32.259998"> ⎜</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="43.009998"> ⎜</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="53.700001"> ⎝</t年代pan> <tspan style="font-size: 12.50px; " x="61.91" y="12.9"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,242.25,-208.68)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1800003"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1509919" y="8.1800003"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,252.89,-213.68)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 177.09,-221.35 136.82,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,177.09,-250.77)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <g> <path d="m 191.15,-225.47 122.76,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,191.15,-249.41)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="7.3600001" y="-6.5100002"> |</t年代pan> <tspan style="font-size: 12.50px; " x="7.3600001" y="-3.3399999"> |</t年代pan> <tspan style="font-size: 12.50px; " x="9.8599997" y="-4.9200001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,211.08,-239.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.19" y="8.1700001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.6236" y="8.1700001"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,222.2,-244.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="-1.59"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9200001" y="1.58"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,230.62,-237.73)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,238.27,-244.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.35" y="-1.9"> |</t年代pan> <tspan style="font-size: 12.50px; " x="11.35" y="1.89"> |</t年代pan> <tspan style="font-size: 12.50px; " x="13.85" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,262.18,-239.61)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 8.75px; " x="-0.18000001" y="8.1700001"> </t年代pan> <tspan style="font-size: 8.75px; " x="4.1609921" y="8.1700001"> +</t年代pan> </text> <text transform="matrix(1,0,0,-1,272.83,-244.49)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="-1.9"> |</t年代pan> <tspan style="font-size: 12.50px; " x="5.9299998" y="1.89"> |</t年代pan> </text> <text transform="matrix(1,0,0,-1,281.26,-237.42)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,288.91,-244.49)"> <tspan style="font-size: 12.50px; " x="17.389999" y="4.9200001"> </t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-43.709999"> ⎞</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-32.959999"> ⎟</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-22.209999"> ⎟</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-11.45"> ⎟</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="-0.69999999"> ⎟</t年代pan> <tspan style="font-size: 12.50px; " x="26.190001" y="9.9899998"> ⎠</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0"> +</t年代pan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="178.96001" y="-149.42999"> (</t年代pan> <tspan style="font-size: 12.50px; " x="183.1235" y="-149.42999"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="189.375" y="-149.42999"> 7</t年代pan> <tspan style="font-size: 12.50px; " x="195.6265" y="-149.42999"> )</t年代pan> </text> </g> </g> </svg></span>在哪里<年代vg height="7.1875" id="M68" style="vertical-align:-0.13794pt;width:7.6875px;" version="1.1" viewbox="0 0 7.6875 7.1875" width="7.6875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>是一个小的正数,防止除以零,上标索引<年代vg height="7.1875" id="M69" style="vertical-align:-0.13794pt;width:7.3874998px;" version="1.1" viewbox="0 0 7.3874998 7.1875" width="7.3874998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1875)"> <g transform="translate(72,-66.25)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vg height="10.7375" id="M70" style="vertical-align:-0.13794pt;width:7.4749999px;" version="1.1" viewbox="0 0 7.4749999 10.7375" width="7.4749999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vg height="13.4875" id="M71" style="vertical-align:-2.34499pt;width:10.675px;" version="1.1" viewbox="0 0 10.675 13.4875" width="10.675" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.4875)"> <g transform="translate(72,-61.21)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>表示中央,向后和向前的差异,分别minmod函数满足<年代pan class="equation" id="EEq22"> <svg height="15.75" id="M72" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 15.75" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.75)"> <g transform="translate(72,-59.4)"> <text transform="matrix(1,0,0,-1,57.92,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="9.727334" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="13.203168" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="24.668419" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="34.395752" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="40.647251" y="0"> d</t年代pan> <tspan style="font-size: 12.50px; " x="54.188004" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="58.351501" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="65.228149" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="70.441902" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="76.643387" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="84.270218" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="96.310608" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="101.17428" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="104.65011" y="0"> g</t年代pan> <tspan style="font-size: 12.50px; " x="110.90161" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="121.32911" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="125.49261" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="131.76912" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="138.70828" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="145.0598" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="154.78714" y="0"> 一个</t年代pan> <tspan style="font-size: 12.50px; " x="160.33847" y="0"> x</t年代pan> <tspan style="font-size: 12.50px; " x="170.75346" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="174.91698" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="181.16847" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="186.38222" y="0"> 米</t年代pan> <tspan style="font-size: 12.50px; " x="196.10956" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="199.58539" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="210.00038" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="214.16388" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="216.66449" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="222.94099" y="0"> |</t年代pan> <tspan style="font-size: 12.50px; " x="227.52959" y="0"> ,</t年代pan> <tspan style="font-size: 12.50px; " x="232.74335" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="241.39542" y="0"> ⋅</t年代pan> <tspan style="font-size: 12.50px; " x="247.74695" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="252.61061" y="0"> 我</t年代pan> <tspan style="font-size: 12.50px; " x="256.08646" y="0"> g</t年代pan> <tspan style="font-size: 12.50px; " x="262.33795" y="0"> n</t年代pan> <tspan style="font-size: 12.50px; " x="272.75296" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="276.91644" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="283.19296" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="287.35645" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="291.51996" y="0"> )</t年代pan> <tspan style="font-size: 12.50px; " x="297.77145" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="409.95001" y="0"> (</t年代pan> <tspan style="font-size: 12.50px; " x="414.11349" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="420.36499" y="0"> 8</t年代pan> <tspan style="font-size: 12.50px; " x="426.61649" y="0"> )</t年代pan> </text> </g> </g> </svg></span></p> <h4 id="results">3所示。结果</h4gydF4y2Ba> <p>在本节中,我们给出了该系统的实验结果FCDD模型相比,李和电视模式。</gydF4y2Bap> <p>由于没有量化方法来测量性能的CT(3月<一个href="#B11">11</一个>),我们应用峰值信号噪声比(PSNR),一种常用的图像修复(<一个href="#B27">26</一个>),可用的标准<年代pan class="equation" id="eq8"> <svg height="48.1875" id="M73" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 48.1875" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,48.1875)"> <g transform="translate(72,-33.45)"> <text transform="matrix(1,0,0,-1,118.95,49.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> P</t年代pan> <tspan style="font-size: 12.50px; " x="6.9641709" y="0"> 年代</t年代pan> <tspan style="font-size: 12.50px; " x="13.915839" y="0"> N</t年代pan> <tspan style="font-size: 12.50px; " x="22.943005" y="0"> R</t年代pan> <tspan style="font-size: 12.50px; " x="34.745838" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="46.786224" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="53.037727" y="0"> 0</t年代pan> <tspan style="font-size: 12.50px; " x="62.064892" y="0"> ×</t年代pan> <tspan style="font-size: 12.50px; " x="72.842476" y="0"> l</t年代pan> <tspan style="font-size: 12.50px; " x="76.318314" y="0"> o</t年代pan> <tspan style="font-size: 12.50px; " x="82.569809" y="0"> g</t年代pan> </text> <text transform="matrix(1,0,0,-1,207.78,46.44)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</t年代pan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,219.11,39.87)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="24.93" y="-16.98"> 2</t年代pan> <tspan style="font-size: 12.50px; " x="31.181499" y="-16.98"> 5</t年代pan> <tspan style="font-size: 12.50px; " x="37.432999" y="-16.98"> 5</t年代pan> </text> <text transform="matrix(1,0,0,-1,262.8,62.17)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> </text> <g> <path d="m 230.41,52.73 50.89,0" style="fill:none;stroke:#000000;stroke-width:0.82499999;stroke-linecap:butt;stroke-linejoin:miter;stroke-miterlimit:10;stroke-opacity:1;stroke-dasharray:none"></path> </g> <text transform="matrix(1,0,0,-1,230.41,38.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0.99000001"> 为</t年代pan> <tspan style="font-size: 12.50px; " x="6.54" y="0.49000001"> </t年代pan> <tspan style="font-size: 12.50px; " x="15.242088" y="0.49000001"> −</t年代pan> <tspan style="font-size: 12.50px; " x="26.58231" y="0.49000001"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,262.93,34.96)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> </text> <text transform="matrix(1,0,0,-1,267.8,38.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</t年代pan> <tspan style="font-size: 12.50px; " x="0" y="0.99000001"> 为</t年代pan> </text> <text transform="matrix(1,0,0,-1,276.42,43.92)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</t年代pan> <tspan style="font-size: 8.75px; " x="0" y="9.5200005"> 2</t年代pan> </text> <text transform="matrix(1,0,0,-1,282.49,39.87)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="12.19" y="-9.7299995"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="185.38" y="-9.7299995"> (</t年代pan> <tspan style="font-size: 12.50px; " x="189.5435" y="-9.7299995"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="195.795" y="-9.7299995"> 9</t年代pan> <tspan style="font-size: 12.50px; " x="202.04649" y="-9.7299995"> )</t年代pan> </text> </g> </g> </svg></span></p> <p>在这里,<年代vg height="7.1624999" id="M74" style="vertical-align:-0.11285pt;width:7.5374999px;" version="1.1" viewbox="0 0 7.5374999 7.1624999" width="7.5374999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>图像修补后吗<年代vg height="11.075" id="M75" style="vertical-align:-3.25793pt;width:13.625px;" version="1.1" viewbox="0 0 13.625 11.075" width="13.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.075)"> <g transform="translate(72,-63.14)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> <text transform="matrix(1,0,0,-1,-66.02,63.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 0</t年代pan> </text> </g> </g> </svg>是原始图像。PSNR值越大,性能越好。PSNR值通常是用来测量填补图像和真实图像之间的相似性,因此这是一个合适的参考。</gydF4y2Bap> <p>在我们的方法的几个具体步骤遵循。首先,因为在本文中,我们专注于修补算法,为简单起见,我们只使用阈值法提取金属。很容易说,更准确的分割算法将增强性能的3月第二,我们找到相应的金属区域的投影数据集。第三,我们使用FCDD算法来填补金属区域。最后,我们重建的图像不仅正弦图和插入金属区域。</gydF4y2Bap> <p>在第一个实验中,同时处理多个金属,我们比较FCDD与其他方法的性能。五个金属更高的地区衰减被添加到Shepp-Logan(的)幻影(256×256)来模拟金属构件。中给出的参数表<一个href="//www.newsama.com/journals/cmmm/2011/173748/tab1/" target="_blank">1</一个>。</gydF4y2Bap> <div class="floats-partial-section partial-other-wrapper" data-section="tab1"> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表1</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/cmmm/2011/173748/tab1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 参数修改的幻影与五金属区域:<年代vg height="6.8874998" id="M76" style="vertical-align:-0.0627pt;width:8.125px;" version="1.1" viewbox="0 0 8.125 6.8874998" width="8.125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,6.8875)"> <g transform="translate(72,-66.49)"> <text transform="matrix(1,0,0,-1,-71.95,66.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>衰减系数;<年代vg height="10.55" id="M77" style="vertical-align:-0.0pt;width:11.325px;" version="1.1" viewbox="0 0 11.325 10.55" width="11.325" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.55)"> <g transform="translate(72,-63.56)"> <text transform="matrix(1,0,0,-1,-71.95,63.61)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vg height="10.325" id="M78" style="vertical-align:-0.0pt;width:11.625px;" version="1.1" viewbox="0 0 11.625 10.325" width="11.625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.325)"> <g transform="translate(72,-63.74)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>每一个椭圆的semiaxes的长度;<年代vg height="7.1624999" id="M79" style="vertical-align:-0.11285pt;width:8.7250004px;" version="1.1" viewbox="0 0 8.7250004 7.1624999" width="8.7250004" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.1625)"> <g transform="translate(72,-66.27)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>,<年代vg height="9.8625002" id="M80" style="vertical-align:-2.29482pt;width:7.875px;" version="1.1" viewbox="0 0 7.875 9.8625002" width="7.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,9.8625)"> <g transform="translate(72,-64.11)"> <text transform="matrix(1,0,0,-1,-71.95,66.45)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>每一个椭圆的中心坐标;<年代vg height="10.7375" id="M81" style="vertical-align:-0.13794pt;width:8.3125px;" version="1.1" viewbox="0 0 8.3125 10.7375" width="8.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.7375)"> <g transform="translate(72,-63.41)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>旋转角度(度)。</d我v> <a class="table-thumb-overlay" href="//www.newsama.com/journals/cmmm/2011/173748/tab1" target="_blank" aria-label="View full page"></a> </div> </div> <p>图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig3/" target="_blank">3</一个>显示了不同算法的结果,图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig3/" target="_blank">3(一个)</一个>给原来的幽灵用金属区域图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig3/" target="_blank">3 (b)</一个>显示了幻影从投影数据重建和包含严重的金属构件。数据<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig3/" target="_blank">3 (c)</一个>来<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig3/" target="_blank">3 (e)</一个>说明李的结果,电视,和FCDD分别。在这些数据中,我们可以看到,金属工件不同程度受到抑制。与李和电视相比,FCDD达到更好的视觉效果。结构信息(边缘和形状)图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig3/" target="_blank">3 (e)</一个>(<年代vg height="10.9125" id="M88" style="vertical-align:-0.17555pt;width:47.862499px;" version="1.1" viewbox="0 0 47.862499 10.9125" width="47.862499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.555412" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="28.806911" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="31.932661" y="0"> 8</t年代pan> </text> </g> </g> </svg>)是最明显的。特别是,虚拟器官的形状几乎保持,除了电视方法造成人为的影响。金属附近区域,楼梯的效果是明显的。FCDD结果显示最佳的性能最高的PSNR。解释这样做的原因,我们也把正弦图与这三种方法修复后如图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig4/" target="_blank">4</一个>。</gydF4y2Bap> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-f2627747814edc4b6ba936bcc6cf1e89"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.003a.jpg"> <br> <strong>(一)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.003b.jpg"> <br> <strong>(b)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(c)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.003c.jpg"> <br> <strong>(c)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(d)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.003d.jpg"> <br> <strong>(d)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(e)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.003e.jpg"> <br> <strong>(e)</年代tr在g> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-f2627747814edc4b6ba936bcc6cf1e89 partial-carousel-thumbnail"> <button aria-label="Slide to (a) " class="partial-carousel-dot"><img loading="lazy" alt="(一)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.003a_th.jpg"><br><strong>(一)</年代tr在g></button> <button aria-label="Slide to (b) " class="partial-carousel-dot"><img loading="lazy" alt="(b)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.003b_th.jpg"><br><strong>(b)</年代tr在g></button> <button aria-label="Slide to (c) " class="partial-carousel-dot"><img loading="lazy" alt="(c)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.003c_th.jpg"><br><strong>(c)</年代tr在g></button> <button aria-label="Slide to (d) " class="partial-carousel-dot"><img loading="lazy" alt="(d)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.003d_th.jpg"><br><strong>(d)</年代tr在g></button> <button aria-label="Slide to (e) " class="partial-carousel-dot"><img loading="lazy" alt="(e)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.003e_th.jpg"><br><strong>(e)</年代tr在g></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-f2627747814edc4b6ba936bcc6cf1e89 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/cmmm/2011/173748/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td>比较不同的正弦图与多个金属区域修补方法:(a)幻影与五金属区域,(b)过滤后投影用金属工件,(c)过滤后投影后李(PSNR = 26.4205), (d)过滤后投影电视(PSNR = 25.9497),和(e)过滤后投影FCDD (PSNR = 26.4399)。</tdgydF4y2Ba> </tr> </tbody> </table> </div> </div> </div> </div> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-3825f4e34a78d36e0a929f764efdcce8"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.004a.jpg"> <br> <strong>(一)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.004b.jpg"> <br> <strong>(b)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(c)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.004c.jpg"> <br> <strong>(c)</年代tr在g> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-3825f4e34a78d36e0a929f764efdcce8 partial-carousel-thumbnail"> <button aria-label="Slide to (a) " class="partial-carousel-dot"><img loading="lazy" alt="(一)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.004a_th.jpg"><br><strong>(一)</年代tr在g></button> <button aria-label="Slide to (b) " class="partial-carousel-dot"><img loading="lazy" alt="(b)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.004b_th.jpg"><br><strong>(b)</年代tr在g></button> <button aria-label="Slide to (c) " class="partial-carousel-dot"><img loading="lazy" alt="(c)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.004c_th.jpg"><br><strong>(c)</年代tr在g></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-3825f4e34a78d36e0a929f764efdcce8 partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/cmmm/2011/173748/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td>正弦图的修补结果不同的方法与多个金属区域:(a)李正弦图后,在电视(b)正弦图,(c)正弦图FCDD之后。</tdgydF4y2Ba> </tr> </tbody> </table> </div> </div> </div> </div> <p>当有多个金属区域,填补的差距比单一金属更广泛的地区,有更多的失踪信息需要内插。经典的插值方法只使用同一列中的信息进行插值。有用的信息是难以获得准确的结果,如图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig4/" target="_blank">4(一)</一个>。随着电视与2 d FCDD方法修复方法,他们不仅利用列中的信息,但也行,因此他们获得更好的结果。然而,电视有一个缺陷在处理广泛的地区,和楼梯的效果发生。电视的原因是订单是2,获得准确的结果,订单必须大于2 (<一个href="#B28">27</一个>]但小于4<一个href="#B29">28</一个>]。在这个实验中,我们设置<年代vg height="10.9125" id="M89" style="vertical-align:-0.17555pt;width:47.862499px;" version="1.1" viewbox="0 0 47.862499 10.9125" width="47.862499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.555412" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="28.806911" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="31.932661" y="0"> 8</t年代pan> </text> </g> </g> </svg>在FCDD,这意味着订单接近3,从而修复正弦图的视觉效果FCDD优越。</gydF4y2Bap> <p>图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig5/" target="_blank">5</一个>给出了变异的PSNR值的顺序算法。如果<年代vg height="10.85" id="M90" style="vertical-align:-0.1254pt;width:36.137501px;" version="1.1" viewbox="0 0 36.137501 10.85" width="36.137501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.85)"> <g transform="translate(72,-63.32)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.555412" y="0"> 1</t年代pan> </text> </g> </g> </svg>,该模型是一样的(<一个href="#B23">22</一个>]。随着订单的增加,PSNR值也增加。如果<年代vg height="10.9125" id="M91" style="vertical-align:-0.17555pt;width:47.862499px;" version="1.1" viewbox="0 0 47.862499 10.9125" width="47.862499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> ≈</t年代pan> <tspan style="font-size: 12.50px; " x="22.555412" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="28.806911" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="31.932661" y="0"> 8</t年代pan> </text> </g> </g> </svg>,PSNR值的峰值,随后下降。</gydF4y2Bap> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-998fe090b9080d4aaccb74635948a85d"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.005.jpg"> <br> <strong></strong> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-998fe090b9080d4aaccb74635948a85d partial-carousel-thumbnail"> <button aria-label="Slide to " class="partial-carousel-dot"><img loading="lazy" alt="" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.005_th.jpg"><br><strong></strong></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-998fe090b9080d4aaccb74635948a85d partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/cmmm/2011/173748/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td>PSNR和分数阶的变化。</tdgydF4y2Ba> </tr> </tbody> </table> </div> </div> </div> </div> <p>图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig6/" target="_blank">6</一个>显示病人的临床病例股骨金属植入物。在这个实验中,我们不知道原始图像,因此我们不能选择<年代vg height="7.1750002" id="M92" style="vertical-align:-0.1254pt;width:8.9375px;" version="1.1" viewbox="0 0 8.9375 7.1750002" width="8.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,7.175)"> <g transform="translate(72,-66.26)"> <text transform="matrix(1,0,0,-1,-71.95,66.44)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> </text> </g> </g> </svg>根据PSNR。通过分析在前面的实验中,我们大约设置<年代vg height="10.9125" id="M93" style="vertical-align:-0.17555pt;width:47.862499px;" version="1.1" viewbox="0 0 47.862499 10.9125" width="47.862499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.9125)"> <g transform="translate(72,-63.27)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </t年代pan> <tspan style="font-size: 12.50px; " x="10.515023" y="0"> =</t年代pan> <tspan style="font-size: 12.50px; " x="22.555412" y="0"> 1</t年代pan> <tspan style="font-size: 12.50px; " x="28.806911" y="0"> 。</t年代pan> <tspan style="font-size: 12.50px; " x="31.932661" y="0"> 8</t年代pan> </text> </g> </g> </svg>。图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig6/" target="_blank">6(一)</一个>显示了原始图像与黑暗,董事会条纹辐射的金属。数据<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig6/" target="_blank">6 (b)</一个>来<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig6/" target="_blank">6 (d)</一个>说明减少最严重的构件使用,电视,和FCDD分别。暗条纹不充分抑制数字<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig6/" target="_blank">6 (b)</一个>和<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig6/" target="_blank">6 (c)</一个>,而虚构的电视造成的工件图可见<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig6/" target="_blank">6 (c)</一个>。这些令人不安的工件在很大程度上减少在图<一个href="//www.newsama.com/journals/cmmm/2011/173748/fig6/" target="_blank">6 (d)</一个>。结构信息先前看不见因为工件或不完整的校正变得可见。</gydF4y2Bap> <div class="partial-carousel-wrapper"> <div class="floats-partial-section"> <div class="floats-partial-content"> <div class="partial-carousel--full-image partial-carousel-96a2226fad5a2c86cdadee3e2afa5a7c"> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(一)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.006a.jpg"> <br> <strong>(一)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(b)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.006b.jpg"> <br> <strong>(b)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(c)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.006c.jpg"> <br> <strong>(c)</年代tr在g> </div> <div class="partial-carousel--single-image"> <img loading="lazy" alt="(d)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/figures/173748.fig.006d.jpg"> <br> <strong>(d)</年代tr在g> </div> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs"> <div class="partial-carousel-dots-96a2226fad5a2c86cdadee3e2afa5a7c partial-carousel-thumbnail"> <button aria-label="Slide to (a) " class="partial-carousel-dot"><img loading="lazy" alt="(一)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.006a_th.jpg"><br><strong>(一)</年代tr在g></button> <button aria-label="Slide to (b) " class="partial-carousel-dot"><img loading="lazy" alt="(b)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.006b_th.jpg"><br><strong>(b)</年代tr在g></button> <button aria-label="Slide to (c) " class="partial-carousel-dot"><img loading="lazy" alt="(c)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.006c_th.jpg"><br><strong>(c)</年代tr在g></button> <button aria-label="Slide to (d) " class="partial-carousel-dot"><img loading="lazy" alt="(d)gydF4y2Ba" src="https://static.hindawi.com/articles/cmmm/volume-2011/173748/thumbnails/173748.fig.006d_th.jpg"><br><strong>(d)</年代tr在g></button> </div> </div> <div class="floats-partial-middle--nav"> <div class="partial-carousel-next-prev-96a2226fad5a2c86cdadee3e2afa5a7c partial-carousel-next-prev"> <button aria-label="Previous" class="carousel-prev"></button> <button aria-label="Next" class="carousel-next"></button> </div> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</年代pan> <a aria-label="View full page" class="caption-partial-url" href="//www.newsama.com/journals/cmmm/2011/173748/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> <tbody> <tr> <td>比较不同的方法处理一个临床病例:(a)原始图像用金属工件,(b) FBP李之后,(c)出口押汇后电视,(d) FBP FCDD之后。</tdgydF4y2Ba> </tr> </tbody> </table> </div> </div> </div> </div> <h4 id="conclusion">4所示。结论</h4gydF4y2Ba> <p>3月新算法提出了基于经典电视修复模型。我们电视取代了有条件的导电率系数与一个新的分数阶曲率,并与线性插值和电视相比,我们的方法获得更好的定量结果和视觉效果。</gydF4y2Bap> <p>不同的图像达到最佳性能,分数阶也需要是不同的。因此,未来的工作将集中在自适应选择的顺序算法。</gydF4y2Bap> <h4 id="acknowledgments">确认</h4gydF4y2Ba> <p>这项工作是支持部分由中国国家自然科学基金(60972131)。作者感谢匿名审稿人的评论,这大大提高了纸。</gydF4y2Bap> </div> </div> <div class="ArticleReferences_xmlContent__p_40j"> <h4 class="ArticleReferences_references__GH2t_" id="references">引用</h4gydF4y2Ba> <ol class="ArticleReferences_orderedReferences__mJr9M"> <li class="ArticleReferences_articleReference__ouEuh" id="B1"> <div class="referenceContent"> <p class="referenceText">j .谢<我>计算机断层扫描:原理、设计、工件和最新进展</我>美国洗,学报出版社,贝灵汉,2003年。</gydF4y2Bap> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B2"> <div class="referenceContent"> <p class="referenceText">p . Stradiotti a . Curti g .球和a . Zerbi Metal-related工件检测脊柱。CT和MRI技术减少工件:艺术,”<我>欧洲脊柱杂志》</我>补充1卷。18日,S102-S108, 2009页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1007/s00586-009-0998-5" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=Metal-related%20artifacts%20in%20instrumented%20spine.%20techniques%20for%20reducing%20artifacts%20in%20CT%20and%20MRI%3A%20state%20of%20the%20art&author=P.%20Stradiotti&author=A.%20Curti&author=G.%20Castellazzi&author=A.%20Zerbi&publication_year=2009" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B3"> <div class="referenceContent"> <p class="referenceText">近藤,y, sessue Hayakawa j .董,a .本田“迭代校正应用于条纹减少工件dento-alveolar的x射线计算机断层扫描图像区域,”<我>口腔放射学</我>,26卷,不。1,第65 - 61页,2010。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1007/s11282-010-0037-6" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=Iterative%20correction%20applied%20to%20streak%20artifact%20reduction%20in%20an%20X-ray%20computed%20tomography%20image%20of%20the%20dento-alveolar%20region&author=A.%20Kondo&author=Y.%20Hayakawa&author=J.%20Dong&author=A.%20Honda&publication_year=2010" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B4"> <div class="referenceContent"> <p class="referenceText">m . Yazdia l . Gingras l .比尤利,“一种自适应方法来减少金属工件螺旋断层放疗治疗计划:实验和临床研究,“<我>国际放射肿瘤学生物物理学杂志》上</我>,卷62,不。4、1224 - 1231年,2005页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1016/j.ijrobp.2005.02.052" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=An%20adaptive%20approach%20to%20metal%20artifact%20reduction%20in%20helical%20computed%20tomography%20for%20radiation%20therapy%20treatment%20planning%3A%20experimental%20and%20clinical%20studies&author=M.%20Yazdia&author=L.%20Gingras&author=L.%20Beaulieu&publication_year=2005" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B5"> <div class="referenceContent"> <p class="referenceText">n . a . Ebraheim r·库姆斯j . j . Rusin和w·t·杰克逊,“减少术后骨盆骨折的CT工件使用钛植入,”<我>整形外科</我>,13卷,不。12日,第1358 - 1357页,1990年。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=Reduction%20of%20postoperative%20CT%20artifacts%20of%20pelvic%20fractures%20by%20use%20of%20titanium%20implants&author=N.%20A.%20Ebraheim&author=R.%20Coombs&author=J.%20J.%20Rusin&author=W.%20T.%20Jackson&publication_year=1990" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B6"> <div class="referenceContent"> <p class="referenceText">n . Haramati r . b . Staron k Mazel-Sperling et al .,“通过金属扫描CT扫描技术和硬件组成,”<我>计算机医学影像和图形</我>,18卷,不。6,429 - 434年,1994页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1016/0895-6111(94)90080-9" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=CT%20scans%20through%20metal%20scanning%20technique%20versus%20hardware%20composition&author=N.%20Haramati&author=R.%20B.%20Staron&author=K.%20Mazel-Sperling&publication_year=1994" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B7"> <div class="referenceContent"> <p class="referenceText">r . m . Lewitt和r·h·贝茨”从投影图像重建(III):投影方法,完成“<我>Optik</我>,50卷,不。4、189 - 204年,1978页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=Image%20reconstruction%20from%20projections(III)%3A%20projection%20completion%20methods&author=R.%20M.%20Lewitt&author=R.%20H.%20Bates&publication_year=1978" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B8"> <div class="referenceContent"> <p class="referenceText">w·a·Kalender r .﹒荷伯,j . Ebersberger”削减CT工件的金属植入物引起的,”<我>放射学</我>,卷164,不。2、576 - 577年,1987页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=Reduction%20of%20CT%20artifacts%20caused%20by%20metallic%20implants&author=W.%20A.%20Kalender&author=R.%20Hebel&author=J.%20Ebersberger&publication_year=1987" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B9"> <div class="referenceContent"> <p class="referenceText">c·r·克劳福德“使用并行backprojector Reprojection,”<我>医学物理学</我>,13卷,不。4、480 - 483年,1986页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=Reprojection%20using%20a%20parallel%20backprojector&author=C.%20R.%20Crawford&publication_year=1986" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B10"> <div class="referenceContent"> <p class="referenceText">j·w·顾l . Zhang z .问:陈,y . x, z . f .黄,“基于插值的方法对金属工件降低CT图像,”<我>x光科学与技术杂志》上</我>,14卷,不。1,11-19,2006页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=A%20method%20based%20on%20interpolation%20for%20metal%20artifacts%20reduction%20in%20CT%20images&author=J.%20W.%20Gu&author=L.%20Zhang&author=Z.%20Q.%20Chen&author=Y.%20X.%20Xing&author=Z.%20F.%20Huang&publication_year=2006" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B11"> <div class="referenceContent"> <p class="referenceText">赵,d·d·罗伯逊白粉,g . Wang和k . t . Bae”x射线CT金属工件减少使用小波:申请成像全髋假体,“<我>IEEE医学成像</我>,19卷,不。12日,第1247 - 1238页,2000年。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=X-ray%20CT%20metal%20artifact%20reduction%20using%20wavelets%3A%20an%20application%20for%20imaging%20total%20hip%20prostheses&author=S.%20Zhao&author=D.%20D.%20Robertson&author=G.%20Wang&author=B.%20Whiting&author=K.%20T.%20Bae&publication_year=2000" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B12"> <div class="referenceContent"> <p class="referenceText">g . j .顾l . Zhang, y,和z,“x射线CT金属工件通过基于曲率的正弦图修复,减少”<我>x光科学与技术杂志》上</我>,14卷,不。2、73 - 82年,2006页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1523/JNEUROSCI.2356-05.2006" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=X-ray%20CT%20metal%20artifacts%20reduction%20through%20curvature%20based%20sinogram%20inpainting&author=J.%20Gu&author=L.%20Zhang&author=G.%20Yu&author=Y.%20Xing&author=Z.%20Chen&publication_year=2006" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B13"> <div class="referenceContent"> <p class="referenceText">l .张x, y, z . Chen j . Cheng和y兴,“金属工件CT正弦图的电视图像修复,减少”<我>IEEE核科学学报》研讨会会议记录(NSS /麦克风' 08)</我>德累斯顿,页4175 - 4177年,德国,2008年10月。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1109/NSSMIC.2008.4774201" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=Metal%20artifact%20reduction%20in%20CT%20images%20sinogram%20TV%20inpainting&author=X.%20Duan&author=L.%20Zhang&author=Y.%20Xiao&author=J.%20Cheng&author=Z.%20Chen&author=Y.%20Xing" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B14"> <div class="referenceContent"> <p class="referenceText">德曼,j . Nuyts p .杜邦、g . Marchal和p . Suetens”迭代最大似然多色CT算法”,<我>IEEE医学成像</我>,20卷,不。10日,999 - 1008年,2001页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=An%20iterative%20maximum-likelihood%20polychromatic%20algorithm%20for%20CT&author=B.%20de%20Man&author=J.%20Nuyts&author=P.%20Dupont&author=G.%20Marchal&author=P.%20Suetens&publication_year=2001" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B15"> <div class="referenceContent"> <p class="referenceText">g . Wang d·l·斯奈德j·a·奥沙利文和m . w . Vannier“迭代降低金属工件的去模糊,”<我>IEEE医学成像</我>,15卷,不。5,657 - 667年,1996页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=Iterative%20deblurring%20for%20metal%20artifact%20reduction&author=G.%20Wang&author=D.%20L.%20Snyder&author=J.%20A.%20O'Sullivan&author=M.%20W.%20Vannier&publication_year=1996" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B16"> <div class="referenceContent"> <p class="referenceText">c . Lemmens d·福尔和j . Nuyts”抑制金属工件在CT使用重建过程,结合地图和投影完成,”<我>IEEE医学成像</我>,28卷,不。2、文章ID 4591397, 250 - 260年,2009页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1109/TMI.2008.929103" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=Suppression%20of%20metal%20artifacts%20in%20CT%20using%20a%20reconstruction%20procedure%20that%20combines%20MAP%20and%20projection%20completion&author=C.%20Lemmens&author=D.%20Faul&author=J.%20Nuyts&publication_year=2009" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B17"> <div class="referenceContent"> <p class="referenceText">d . Prell y今天,m公司和w·A . Kalender”小说向前projection-based金属工件减少flat-detector计算机断层扫描的方法,”<我>物理学在医学和生物学</我>,54卷,不。21日,第6591 - 6575页,2009年。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1088/0031-9155/54/21/009" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=A%20novel%20forward%20projection-based%20metal%20artifact%20reduction%20method%20for%20flat-detector%20computed%20tomography&author=D.%20Prell&author=Y.%20Kyriakou&author=M.%20Beister&author=W.%20A.%20Kalender&publication_year=2009" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B19"> <div class="referenceContent"> <p class="referenceText">y, y Pu、j·胡和j .周“图像修复的部分框架,”提交<我>专业形象的过程</我>。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=A%20fractional%20framework%20for%20image%20inpainting&author=Y.%20Zhang&author=Y.%20Pu&author=J.%20Hu&author=J.%20Zhou" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B20"> <div class="referenceContent"> <p class="referenceText">t·f·陈和j .沈”数学模型对当地nontexture修补,”<我>暹罗在应用数学》杂志上</我>,卷62,不。3、1019 - 1043年,2001页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1137/S0036139900368844" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=Mathematical%20models%20for%20local%20nontexture%20inpaintings&author=T.%20F.%20Chan&author=J.%20Shen&publication_year=2001" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B21"> <div class="referenceContent"> <p class="referenceText">l . i鲁丁s Osher大肠法特米,“基于非线性全变差的噪声去除算法,”<我>自然史D</我>,60卷,不。1 - 4、259 - 268年,1992页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=Nonlinear%20total%20variation%20based%20noise%20removal%20algorithms&author=L.%20I.%20Rudin&author=S.%20Osher&author=E.%20Fatemi&publication_year=1992" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B22"> <div class="referenceContent"> <p class="referenceText">z君和w . Zhihui一类分数阶多尺度变分模型和交替投影算法对图像去噪,”<我>应用数学建模</我>,35卷,第2528 - 2516页,2011年。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1016/j.apm.2010.11.049" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=A%20class%20of%20fractional-order%20multi-scale%20variational%20models%20and%20alternating%20projection%20algorithm%20for%20image%20denoising&author=Z.%20Jun&author=W.%20Zhihui&publication_year=2011" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B23"> <div class="referenceContent"> <p class="referenceText">t·f·陈,j .沈Nontexture修补由curvature-driven扩散,”<我>杂志的视觉传达和图像表示</我>,12卷,不。4、436 - 449年,2001页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1006/jvci.2001.0487" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=Nontexture%20inpainting%20by%20curvature-driven%20diffusions&author=T.%20F.%20Chan&author=J.%20Shen&publication_year=2001" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B24"> <div class="referenceContent"> <p class="referenceText">k·b·奥尔德姆和j . Spanie<我>分数微积分</我>、学术出版社,纽约,纽约,美国,1974年。</gydF4y2Bap> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B25"> <div class="referenceContent"> <p class="referenceText">y Pu、w . Wang j .周h·贾和y王,“分数导数检测数字图像纹理细节和实现分数阶导数过滤器,”<我>科学在中国系列F</我>,38卷,不。12日,第2272 - 2252页,2008年。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=Fractional%20derivative%20detection%20of%20digital%20image%20texture%20details%20and%20implementation%20of%20fractional%20derivative%20filter&author=Y.%20Pu&author=W.%20Wang&author=J.%20Zhou&author=H.%20Jia&author=Y.%20Wang&publication_year=2008" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B26"> <div class="referenceContent"> <p class="referenceText">y . f . Pu、j·l·周和x元,“分数微分面具:分数differential-based方法多尺度纹理增强,”<我>IEEE图像处理</我>,19卷,不。2、文章ID 5340520, 491 - 511年,2010页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1109/TIP.2009.2035980" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=Fractional%20differential%20mask%3A%20a%20fractional%20differential-based%20approach%20for%20multiscale%20texture%20enhancement&author=Y.%20F.%20Pu&author=J.%20L.%20Zhou&author=X.%20Yuan&publication_year=2010" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B27"> <div class="referenceContent"> <p class="referenceText">j·c·拉斯<我>图像处理手册</我>美国佛罗里达州,CRC出版社,波卡拉顿,第六版,2011年版。</gydF4y2Bap> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B28"> <div class="referenceContent"> <p class="referenceText">m . Bertalmio a贝尔托齐,g . Sapiro“n - s、流体动力学和图像与视频修复,”<我>《IEEE计算机学会学报计算机视觉与模式识别、会议(CVPR ' 01)</我>2001年12月,页355 - 362。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://scholar.google.com/scholar_lookup?title=Navier-Stokes%2C%20fluid%20dynamics%2C%20and%20image%20and%20video%20inpainting&author=M.%20Bertalm%C3%ADo&author=A.%20Bertozzi&author=G.%20Sapiro" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> <li class="ArticleReferences_articleReference__ouEuh" id="B29"> <div class="referenceContent"> <p class="referenceText">m . Bertalmio“Strong-continuation contrast-invariant修补与三阶最佳PDE,”<我>IEEE图像处理</我>,15卷,不。7,1934 - 1938年,2006页。</gydF4y2Bap>视图:<!- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - -- - - - - - - - - -- - - - - -- - - - - -> <a href="https://doi.org/10.1109/TIP.2006.877067" target="_blank" rel="noreferrer">出版商的网站</一个> <span class="sep">|</年代pan> <a href="https://scholar.google.com/scholar_lookup?title=Strong-continuation%2C%20contrast-invariant%20inpainting%20with%20a%20third-order%20optimal%20PDE&author=M.%20Bertalm%C3%ADo&publication_year=2006" target="_blank" rel="noreferrer">谷歌学术搜索</一个> </div></li> </ol> </div> <h4 class="copyright-title" id="copyright">版权</h4gydF4y2Ba> <div class="copyright-body"> 版权©2011 Zhang et al。这是一个开放的访问分布在条<一个rel="license" href="http://creativecommons.org/licenses/by/3.0/">知识共享归属许可</一个>,它允许无限制的使用、分配和复制在任何媒介,提供最初的工作是正确引用。</d我v> <div id="related-articles"></div> </div> </div> <div class="ant-col ThreeColumnLayout_rightColumn__b_MuL"> <div> <div> <div class="ArticleRightSection_articleRightSection__rG8Zh"> <div class="ArticleToolbar_articleToolbar__8fsAH"> <a href="https://downloads.hindawi.com/journals/cmmm/2011/173748.pdf" class="ButtonGroup_buttonGroupWrapper__Rqhy0" role="button" type="primary" aria-label="PDF" tabindex="0" unselectable="on" target="_blank" data-testid="download-pdf"><span class="ButtonGroup_leftGroup__FJAmS"><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 19 24"> <path d="M16.772,24H2.227A2.163,2.163,0,0,1,0,21.746V2.255A2.159,2.159,0,0,1,2.227,0H12.415L12.9.494h.03V.523L19,6.669V21.746A2.161,2.161,0,0,1,16.772,24ZM2.334,1A1.276,1.276,0,0,0,1,2.358V21.642A1.283,1.283,0,0,0,2.334,23H16.665A1.276,1.276,0,0,0,18,21.642V7.087l-.032-.033H14.215A2.131,2.131,0,0,1,12.02,4.832V1.005L12.015,1ZM13,2V4.745A1.192,1.192,0,0,0,14.261,6H17ZM4.012,20A1.032,1.032,0,0,1,3,18.923a2.505,2.505,0,0,1,.967-1.539,8.15,8.15,0,0,1,2.377-1.418c.344-.779.65-1.6.92-2.327l.008-.022.017-.046.009-.024c.2-.539.453-1.209.71-1.827a4.545,4.545,0,0,1-.372-3.862c.267-.569.6-.858.976-.858.556,0,.964.621,1.015,1.546a7.125,7.125,0,0,1-.681,3.143c.158.305.343.624.55.949a7.127,7.127,0,0,0,1.806,1.9,8.681,8.681,0,0,1,2.023-.279,4.23,4.23,0,0,1,1.468.238c.118.047,1.156.478,1.2,1.143a.688.688,0,0,1-.412.67,2.509,2.509,0,0,1-1.164.242,4.757,4.757,0,0,1-.671-.052,6.631,6.631,0,0,1-2.608-1.025c-.163.042-.323.086-.514.138l-.1.026-.15.041c-.235.067-.464.13-.679.185l-.292.076-.025.006-.019,0c-.794.205-1.615.418-2.4.705A14.033,14.033,0,0,1,6,18.437C5.832,18.7,4.941,20,4.012,20ZM6,17a6.865,6.865,0,0,0-1.287.871A1.927,1.927,0,0,0,4,18.831a.12.12,0,0,0,.041.1A.165.165,0,0,0,4.17,19c.327,0,.965-.631,1.356-1.219C5.671,17.564,5.83,17.3,6,17Zm7.044-2A4.632,4.632,0,0,0,12,15.131a4.76,4.76,0,0,0,1.675.792A2.906,2.906,0,0,0,14.32,16a1.629,1.629,0,0,0,.68-.13,2.672,2.672,0,0,0-.584-.528A2.752,2.752,0,0,0,13.045,15ZM8.166,13c-.177.449-.343.884-.481,1.25l-.01.025-.009.024-.007.02-.035.092-.032.085c-.156.409-.37.97-.59,1.5.6-.181,1.229-.341,1.733-.469l.031-.008.055-.014.028-.007.028-.007.307-.078c.191-.048.4-.105.674-.179l.03-.008.005,0,.036-.01.036-.01.01,0,.01,0,.016,0a8.291,8.291,0,0,1-1.566-1.767C8.341,13.285,8.264,13.16,8.166,13Zm.516-5a1.64,1.64,0,0,0-.34.365A2.425,2.425,0,0,0,8.437,11a4.012,4.012,0,0,0,.553-2.22A1.309,1.309,0,0,0,8.681,8Z" fill="currentColor"></path> </svg></span><span>PDF</年代pan></span><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg width="1em" height="1em" viewbox="0 0 20 22"> <defs> <clippath> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </clippath> </defs> <g> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </g> </svg></span></a> <a href="//www.newsama.com/journals/cmmm/2011/173748.ris" class="ButtonGroup_buttonGroupWrapper__Rqhy0" role="button" type="ghost" aria-label="Download Citation" tabindex="0" unselectable="on" data-testid="download-citation"><span class="ButtonGroup_leftGroup__FJAmS"><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg width="1em" height="1em" viewbox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg"> <path d="M16 12H8C7.44772 12 7 12.4477 7 13C7 13.5523 7.44772 14 8 14H16C16.5523 14 17 13.5523 17 13C17 12.4477 16.5523 12 16 12Z" fill="currentColor"></path> <path d="M16 16H8C7.44772 16 7 16.4477 7 17C7 17.5523 7.44772 18 8 18H16C16.5523 18 17 17.5523 17 17C17 16.4477 16.5523 16 16 16Z" fill="currentColor"></path> <path d="M10 8H8C7.44772 8 7 8.44772 7 9C7 9.55228 7.44772 10 8 10H10C10.5523 10 11 9.55228 11 9C11 8.44772 10.5523 8 10 8Z" fill="currentColor"></path> <path d="M15 2C15 1.44772 14.5523 1 14 1C13.4477 1 13 1.44772 13 2V8C13 8.55228 13.4477 9 14 9H20C20.5523 9 21 8.55228 21 8C21 7.44772 20.5523 7 20 7H15V2Z" fill="currentColor"></path> <path fill-rule="evenodd" clip-rule="evenodd" d="M14.7071 1.29289C14.5196 1.10536 14.2652 1 14 1H6C4.34315 1 3 2.34315 3 4V20C3 21.6569 4.34315 23 6 23H18C19.6569 23 21 21.6569 21 20V8C21 7.73478 20.8946 7.48043 20.7071 7.29289L14.7071 1.29289ZM6 3H13.5858L19 8.41421V20C19 20.5523 18.5523 21 18 21H6C5.44772 21 5 20.5523 5 20V4C5 3.44772 5.44772 3 6 3Z" fill="currentColor"></path> </svg></span><span>下载引用</年代pan></span><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg width="1em" height="1em" viewbox="0 0 20 22"> <defs> <clippath> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </clippath> </defs> <g> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </g> </svg></span></a> <div class="ant-collapse ant-collapse-icon-position-end articleToolbarOtherFormats_otherFormatsCollapse__VHaOL"> <div class="ant-collapse-item"> <div class="ant-collapse-header" aria-expanded="false" aria-disabled="false" role="button" tabindex="0"> <div class="ant-collapse-expand-icon"> <span role="img" class="anticon ant-collapse-arrow"> <svg width="1em" height="1em" viewbox="0 0 32 32" fill="none"> <path fill-rule="evenodd" clip-rule="evenodd" d="M17.773 23.453l11.2-11.265a1.918 1.918 0 000-2.641 1.75 1.75 0 00-2.542 0l-9.929 10.101-9.933-10.1a1.75 1.75 0 00-2.542 0 1.919 1.919 0 000 2.64L15.23 23.453c.352.365.811.547 1.271.547.46 0 .92-.182 1.271-.547z" fill="currentColor"></path> </svg></span> </div> <span class="ant-collapse-header-text"><span><span role="img" class="anticon articleToolbarOtherFormats_atofDownloadIcon__YRM5T"> <svg width="1em" height="1em" viewbox="0 0 20 22"> <defs> <clippath> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </clippath> </defs> <g> <path fill-rule="evenodd" clip-rule="evenodd" d="M3,22a3,3,0,0,1-3-3V16a1,1,0,0,1,2,0v3a1,1,0,0,0,1,1H17a1,1,0,0,0,1-1V16a1,1,0,1,1,2,0v3a3,3,0,0,1-3,3Zm6.288-6.3-4-4a1,1,0,0,1,1.414-1.414L9,12.586V1a1,1,0,0,1,2,0V12.586l2.293-2.293a1,1,0,0,1,1.414,1.414l-4,4a1,1,0,0,1-1.423,0Z" fill="currentColor"></path> </g> </svg></span><span>下载其他格式</年代pan></span></span> </div> </div> </div> <a href="//www.newsama.com/reprints/173748/confirm" class="ButtonGroup_buttonGroupWrapper__Rqhy0" role="button" type="ghost" aria-label="Order printed copies" tabindex="0" unselectable="on" target="_blank"><span class="ButtonGroup_leftGroup__FJAmS"><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg width="1em" height="1em" viewbox="0 0 24 24" fill="none" xmlns="http://www.w3.org/2000/svg"> <path fill-rule="evenodd" clip-rule="evenodd" d="M7.41667 1H18.6667C19.1269 1 19.5 1.44772 19.5 2V22C19.5 22.5523 19.1269 23 18.6667 23H7.41667C5.80584 23 4.5 21.433 4.5 19.5V4.5C4.5 2.567 5.80584 1 7.41667 1ZM6.16667 16.3368V4.5C6.16667 3.67157 6.72631 3 7.41667 3H17.8333V16H7.41667C6.96933 16 6.54552 16.1208 6.16667 16.3368ZM17.8333 18H7.41667C6.72631 18 6.16667 18.6716 6.16667 19.5C6.16667 20.3284 6.72631 21 7.41667 21H17.8333V18Z" fill="currentColor"></path> </svg></span><span>订单打印副本</年代pan></span><span role="img" class="anticon ButtonGroup_buttonGroupWrapperIcon__CFikg"> <svg width="1em" height="1em" viewbox="0 0 18 14"> <defs> <clippath id="a"> <path d="M10.293,13.707a1,1,0,0,1,0-1.414L14.586,8H1A1,1,0,0,1,1,6H14.586L10.293,1.707A1,1,0,0,1,11.707.293l6,6a1,1,0,0,1,.172.231h0l.01.019,0,.005.007.014.006.012,0,.008.008.018v0a1,1,0,0,1-.009.817l0,0L17.9,7.44l0,.009-.005.011-.007.013,0,.008-.008.015,0,.005-.01.016,0,0-.011.017,0,0-.012.018,0,0-.012.017,0,0L17.8,7.6l0,0-.011.014,0,.006-.01.012-.009.011-.006.007-.015.017h0l-.04.042-6,6a1,1,0,0,1-1.414,0Z" transform="translate(3 5)"></path> </clippath> </defs> <g transform="translate(-3 -5)"> <path d="M10.293,13.707a1,1,0,0,1,0-1.414L14.586,8H1A1,1,0,0,1,1,6H14.586L10.293,1.707A1,1,0,0,1,11.707.293l6,6a1,1,0,0,1,.172.231h0l.01.019,0,.005.007.014.006.012,0,.008.008.018v0a1,1,0,0,1-.009.817l0,0L17.9,7.44l0,.009-.005.011-.007.013,0,.008-.008.015,0,.005-.01.016,0,0-.011.017,0,0-.012.018,0,0-.012.017,0,0L17.8,7.6l0,0-.011.014,0,.006-.01.012-.009.011-.006.007-.015.017h0l-.04.042-6,6a1,1,0,0,1-1.414,0Z" transform="translate(3 5)" fill="currentColor"></path> </g> </svg></span></a> <div class="articleToolbarStatistics_articleToolbarStatistics__8_woN"> <div class="articleToolbarStatistics_column__R2GqD"> <div> <div> <span>的观点</年代pan> <div class="articleToolbarStatistics_amount__vJIDp"> 1753年</d我v> </div> <div> <span>下载</年代pan> <div class="articleToolbarStatistics_amount__vJIDp"> 1504年</d我v> </div> </div> </div> <div class="articleToolbarStatistics_column__R2GqD articleToolbarStatistics_dimensions__pe7pO"> <div> 引用</d我v> <span class="__dimensions_badge_embed__ articleToolbarStatistics_circle__p2dSc" data-doi="10.1155/2011/173748" data-style="small_circle"></span> </div> </div> <ul class="articleToolbarSocials_articleToolbarSocials__g02HH"> <li><a href="https://twitter.com/share?url=https://doi.org/10.1155/2011/173748&via=Hindawi" unselectable="on" title="" rel="noopener noreferrer" target="_blank"><span role="img" class="anticon"> <svg xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="126.444 2.281 589 589"> <circle cx="420.944" cy="296.781" r="294.5" fill="#2daae1"></circle> <path d="M609.773 179.634c-13.891 6.164-28.811 10.331-44.498 12.204 16.01-9.587 28.275-24.779 34.066-42.86a154.78 154.78 0 0 1-49.209 18.801c-14.125-15.056-34.267-24.456-56.551-24.456-42.773 0-77.462 34.675-77.462 77.473 0 6.064.683 11.98 1.996 17.66-64.389-3.236-121.474-34.079-159.684-80.945-6.672 11.446-10.491 24.754-10.491 38.953 0 26.875 13.679 50.587 34.464 64.477a77.122 77.122 0 0 1-35.097-9.686v.979c0 37.54 26.701 68.842 62.145 75.961-6.511 1.784-13.344 2.716-20.413 2.716-4.998 0-9.847-.473-14.584-1.364 9.859 30.769 38.471 53.166 72.363 53.799-26.515 20.785-59.925 33.175-96.212 33.175-6.25 0-12.427-.373-18.491-1.104 34.291 21.988 75.006 34.824 118.759 34.824 142.496 0 220.428-118.052 220.428-220.428 0-3.361-.074-6.697-.236-10.021a157.855 157.855 0 0 0 38.707-40.158z" fill="#fff"></path> </svg></span></a></li> <li><a href="https://www.linkedin.com/shareArticle/?url=https://doi.org/10.1155/2011/173748" unselectable="on" title="" rel="noopener noreferrer" target="_blank"><span role="img" class="anticon"> <svg xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 256 256" xml:space="preserve"> <g transform="translate(-373.642 -318.344)"> <path fill="#1D8CB5" d="M583.659 328.849H419.625c-19.599 0-35.487 15.888-35.487 35.487v164.015c0 19.599 15.888 35.486 35.487 35.486h164.033c19.599 0 35.487-15.888 35.487-35.486V364.337c.001-19.599-15.888-35.488-35.486-35.488z"></path> <lineargradient id="a" gradientunits="userSpaceOnUse" x1="-808.873" y1="199.892" x2="-860.569" y2="49.203" gradienttransform="rotate(180 -17.27 206.273) scale(.5915)"> <stop offset="0" style="stop-color:#fff"></stop> <stop offset="1" style="stop-color:#fff;stop-opacity:0"></stop> </lineargradient> <path opacity=".781" fill="url(#a)" d="M557.056 338.895H446.227c-29.337 0-52.955 23.81-52.955 53.385v108.127c.95 23.087 4.603 8.491 11.555-17.075 8.081-29.713 34.396-55.682 66.445-75.145 24.461-14.855 51.84-24.341 101.679-25.244 28.265-.511 25.77-36.683-15.895-44.048z"></path> </g> <g fill="#FFF"> <path d="M81.604 207.76V101.49h-35.32v106.27h35.32zM63.951 86.98c12.308 0 19.981-8.161 19.981-18.36-.228-10.426-7.673-18.36-19.75-18.36-12.087 0-19.984 7.934-19.984 18.36 0 10.199 7.662 18.36 19.52 18.36h.233zM101.151 207.76h35.326v-59.345c0-3.178.23-6.352 1.165-8.621 2.547-6.35 8.363-12.92 18.118-12.92 12.784 0 17.893 9.748 17.893 24.032v56.855h35.319v-60.936c0-32.643-17.422-47.83-40.665-47.83-19.053 0-27.421 10.647-32.068 17.902h.238V101.49h-35.326c.469 9.97 0 106.27 0 106.27z"></path> </g> </svg></span></a></li> <li><a href="https://www.facebook.com/sharer/sharer.php?u=https://doi.org/10.1155/2011/173748" unselectable="on" title="" rel="noopener noreferrer" target="_blank"><span role="img" class="anticon"> <svg xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 14222 14222"> <circle cx="7111" cy="7112" r="7111" fill="#1977f3"></circle> <path d="M9879 9168l315-2056H8222V5778c0-562 275-1111 1159-1111h897V2917s-814-139-1592-139c-1624 0-2686 984-2686 2767v1567H4194v2056h1806v4969c362 57 733 86 1111 86s749-30 1111-86V9168z" fill="#fff"></path> </svg></span></a></li> <li> <div class="articleToolbarSocials_wechat_container__rym_N"> <div class="addthis_inline_share_toolbox"></div> </div></li> <li><a href="//www.newsama.com/cdn-cgi/l/email-protection" unselectable="on" title="" rel="noopener noreferrer" target="_blank"><span role="img" class="anticon"> <svg version="1.0" xmlns="http://www.w3.org/2000/svg" width="1em" height="1em" viewbox="0 0 1401 1101"> <path fill="#6ba439" d="M132.5 2.1C101.4 6 71.1 20.5 48.3 42.4c-22.7 21.7-37.5 48.3-44.6 80l-2.2 10.1v837l2.2 10.1c6.7 30 19.3 53.9 39.8 75.3 23.3 24.3 56.4 40.9 90 45 12.8 1.6 1122.2 1.6 1135 0 38.9-4.8 75.9-25.6 100-56.4 15-19.3 24.2-39 29.8-63.9l2.2-10.1v-837l-2.2-10.1c-7.1-31.8-21.9-58.3-44.6-80.1-20.2-19.2-43.9-31.7-73.6-38.5l-9.6-2.3L705 1.4c-321.9-.1-568.5.2-572.5.7zm1123.4 99.5c1.7.4 3.1 1 3.1 1.4 0 .5-125.6 87.7-279 194L700.9 490.2 422 297C268.5 190.7 143 103.4 143 103c0-.5 1-1.1 2.3-1.3 3.5-.7 1107.1-.8 1110.6-.1zM401 404c164.4 113.8 299.4 207 300 207 .6 0 135.6-93.2 300.1-207 164.5-113.9 299.3-207 299.5-207 .2 0 .4 170.9.4 379.7 0 417.9.5 386-6.1 398.3-6.2 11.6-19 21.4-31.9 24.4-5.8 1.4-67.4 1.6-562 1.6s-556.2-.2-562-1.6c-12.9-3-25.7-12.8-31.9-24.4-6.6-12.3-6.1 19.6-6.1-398.3 0-208.8.2-379.7.5-379.7S236.6 290.1 401 404z"></path> </svg></span></a></li> </ul> </div> </div> </div> </div> </div> </div> </main> <div> <footer class="ant-layout-footer"> <div class="footer-main-nav-section"> <div class="footer-main-nav"> <div class="ant-col footer-main-nav__column"> <ul class="ant-menu ant-menu-root ant-menu-vertical ant-menu-light footer-main-nav__menu" role="menu" tabindex="0" data-menu-list="true"> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/about/" aria-label="About Us">关于我们</一个></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/about/contact/" aria-label="Contact us">联系我们</一个></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/publishing-partnerships/" aria-label="Partnerships">合作伙伴关系</一个></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/blog/" aria-label="Blog">博客</一个></span></li> </ul> <div style="display:none" aria-hidden="true"></div> </div> <div class="ant-col footer-main-nav__column"> <ul class="ant-menu ant-menu-root ant-menu-vertical ant-menu-light footer-main-nav__menu" role="menu" tabindex="0" data-menu-list="true"> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/journals/" aria-label="Journals">期刊</一个></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/publish-research/authors/article-processing-charges/" aria-label="Article Processing Charges">文章处理费用</一个></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/print-editions/" aria-label="Print editions">印刷版</一个></span></li> </ul> <div style="display:none" aria-hidden="true"></div> </div> <div class="ant-col footer-main-nav__column"> <ul class="ant-menu ant-menu-root ant-menu-vertical ant-menu-light footer-main-nav__menu" role="menu" tabindex="0" data-menu-list="true"> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/publish-research/authors/" aria-label="Authors">作者</一个></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/publish-research/editors/" aria-label="Editors">编辑器</一个></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/publish-research/reviewers/" aria-label="Reviewers">评论家</一个></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/publishing-partnerships/" aria-label="Partnerships">合作伙伴关系</一个></span></li> </ul> <div style="display:none" aria-hidden="true"></div> </div> <div class="ant-col footer-main-nav__column"> <ul class="ant-menu ant-menu-root ant-menu-vertical ant-menu-light footer-main-nav__menu" role="menu" tabindex="0" data-menu-list="true"> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/hindawi-xml-corpus/" aria-label="Hindawi XML Corpus">雷电竞APP</a></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/open-archives-initiative/" aria-label="Open Archives Initiative">开放档案计划</一个></span></li> <li class="ant-menu-item ant-menu-item-only-child footer-main-nav__item" role="menuitem" tabindex="-1"><span class="ant-menu-title-content"><a href="//www.newsama.com/preventing-and-protecting-against-fraud/" aria-label="Fraud prevention">欺诈防范</一个></span></li> </ul> <div style="display:none" aria-hidden="true"></div> </div> </div> <div class="social-links"> 遵循我们:<d我v class="social-links__icons"> <a aria-label="Twitter" rel="noopener noreferrer" href="https://twitter.com/hindawi" target="_blank" class="social-links__icon"><span role="img" class="anticon"> <svg xmlns="http://www.w3.org/2000/svg" width="40" height="40" viewbox="0 0 40 40" fill="none"> <path fill-rule="evenodd" clip-rule="evenodd" d="M0 20C0 8.95599 8.95599 0 20 0C31.044 0 40 8.95599 40 20C40 31.044 31.044 40 20 40C8.95599 40 0 31.044 0 20ZM29.1449 16.1871C29.1449 15.9885 29.1406 15.7907 29.1318 15.5939C30.0281 14.946 30.8072 14.1373 31.4215 13.2166C30.5991 13.5822 29.7141 13.8284 28.7854 13.9395C29.7333 13.371 30.4608 12.4719 30.8041 11.4005C29.917 11.9263 28.9349 12.3083 27.8891 12.5146C27.0514 11.6223 25.8588 11.0641 24.5383 11.0641C22.0032 11.0641 19.9472 13.1201 19.9472 15.6543C19.9472 16.0144 19.9878 16.3647 20.0665 16.701C16.2512 16.5091 12.868 14.6823 10.6042 11.9046C10.21 12.583 9.9826 13.371 9.9826 14.212C9.9826 15.8047 10.7928 17.2107 12.0255 18.0331C11.2723 18.0099 10.5649 17.803 9.94629 17.4591C9.94568 17.4783 9.94568 17.4969 9.94568 17.5177C9.94568 19.7406 11.528 21.597 13.6285 22.0175C13.2428 22.1228 12.8369 22.1793 12.4179 22.1793C12.1228 22.1793 11.835 22.15 11.5552 22.0963C12.1399 23.9203 13.8342 25.2475 15.8438 25.2847C14.2725 26.5161 12.2931 27.2498 10.1422 27.2498C9.77203 27.2498 9.40643 27.2287 9.04724 27.1863C11.0788 28.4885 13.4912 29.2484 16.0837 29.2484C24.5276 29.248 29.1449 22.2531 29.1449 16.1871Z" fill="#F2F2F2"></path> </svg></span></a> <a aria-label="Linkedin" rel="noopener noreferrer" href="https://www.linkedin.com/company/hindawilimited/" target="_blank" class="social-links__icon"><span role="img" class="anticon"> <svg width="40" height="40" viewbox="0 0 40 40" fill="none" xmlns="http://www.w3.org/2000/svg"> <path fill-rule="evenodd" clip-rule="evenodd" d="M0 20C0 8.95599 8.95599 0 20 0C31.044 0 40 8.95599 40 20C40 31.044 31.044 40 20 40C8.95599 40 0 31.044 0 20ZM9.31732 30.2344H14.1882V15.5801H9.31732V30.2344ZM11.7529 13.5791H11.7212C10.0867 13.5791 9.02954 12.4539 9.02954 11.0477C9.02954 9.60968 10.119 8.51562 11.7853 8.51562C13.4515 8.51562 14.4769 9.60968 14.5087 11.0477C14.5087 12.4539 13.4515 13.5791 11.7529 13.5791ZM26.8814 30.2344H31.7517V21.8317C31.7517 17.3306 29.3488 15.2362 26.1441 15.2362C23.5599 15.2362 22.4017 16.6565 21.7545 17.655V15.5801H16.8839C16.9476 16.955 16.8839 30.2344 16.8839 30.2344H21.7545V22.0508C21.7545 21.6129 21.7859 21.1752 21.9147 20.8621C22.2668 19.9872 23.0682 19.0808 24.4138 19.0808C26.1761 19.0808 26.8814 20.4245 26.8814 22.3947V30.2344Z" fill="#F2F2F2"></path> </svg></span></a> <a aria-label="Youtube" rel="noopener noreferrer" href="https://www.youtube.com/channel/UCDIK_O7FATPEkhad_sQVaSg" target="_blank" class="social-links__icon"><span role="img" class="anticon"> <svg width="40" height="40" viewbox="0 0 40 40" fill="none" xmlns="http://www.w3.org/2000/svg"> <path d="M17.2973 23.7838L23.7838 20L17.2973 16.2162V23.7838Z" fill="#F2F2F2"></path> <path fill-rule="evenodd" clip-rule="evenodd" d="M0 20C0 8.95599 8.95599 0 20 0C31.044 0 40 8.95599 40 20C40 31.044 31.044 40 20 40C8.95599 40 0 31.044 0 20ZM31.9824 26.0324C32.4969 24.0765 32.4969 20.0204 32.4969 20.0204C32.4969 20.0204 32.5177 15.9442 31.9824 13.9883C31.694 12.9178 30.8499 12.0734 29.7794 11.7853C27.8235 11.25 20 11.25 20 11.25C20 11.25 12.1765 11.25 10.2206 11.7648C9.17053 12.0529 8.30566 12.9178 8.01758 13.9883C7.50275 15.9442 7.50275 20 7.50275 20C7.50275 20 7.50275 24.0765 8.01758 26.0117C8.30597 27.0822 9.15009 27.9266 10.2206 28.2147C12.197 28.75 20 28.75 20 28.75C20 28.75 27.8235 28.75 29.7794 28.2352C30.8499 27.9471 31.694 27.103 31.9824 26.0324Z" fill="#F2F2F2"></path> </svg></span></a> <a aria-label="Facebook" rel="noopener noreferrer" href="https://www.facebook.com/HindawiLimited/" target="_blank" class="social-links__icon"><span role="img" class="anticon"> <svg width="40" height="39" viewbox="0 0 40 39" fill="none" xmlns="http://www.w3.org/2000/svg"> <path d="M40 19.4595C40 8.71394 31.044 0 20 0C8.95599 0 0 8.71394 0 19.4595C0 30.205 8.95599 38.9189 20 38.9189C20.1175 38.9189 20.2344 38.9165 20.3516 38.9145V23.7661H16.0547V18.8938H20.3516V15.3084C20.3516 11.1502 22.9605 8.88705 26.7728 8.88705C28.5983 8.88705 30.1675 9.01948 30.625 9.07857V13.4244H27.9962C25.9222 13.4244 25.5206 14.3835 25.5206 15.7906V18.8938H30.4797L29.8334 23.7661H25.5206V38.1671C33.8803 35.8353 40 28.3418 40 19.4595Z" fill="#F2F2F2"></path> </svg></span></a> </div> </div> </div> <div class="footer-minor-nav"> <span><a href="//www.newsama.com/privacy/" class="footer-minor-nav__link" aria-label="Privacy Policy">隐私政策</一个> <div class="ant-divider ant-divider-vertical" role="separator"></div></span> <span><a href="//www.newsama.com/terms/" class="footer-minor-nav__link" aria-label="Terms of Service">服务条款</一个> <div class="ant-divider ant-divider-vertical" role="separator"></div></span> <span><a href="//www.newsama.com/responsible-disclosure-policy/" class="footer-minor-nav__link" aria-label="Responsible Disclosure Policy">负责信息披露政策</一个> <div class="ant-divider ant-divider-vertical" role="separator"></div></span> <span><a href="//www.newsama.com/cookie-policy/" class="footer-minor-nav__link" aria-label="Cookie Policy">饼干的政策</一个> <div class="ant-divider ant-divider-vertical" role="separator"></div></span> <span><a href="//www.newsama.com/copyright/" class="footer-minor-nav__link" aria-label="Copyright">版权</一个> <div class="ant-divider ant-divider-vertical" role="separator"></div></span> <span><a href="//www.newsama.com/modern-slavery-statement/" class="footer-minor-nav__link" aria-label="Modern slavery statement">现代奴隶制的声明</一个> <div class="ant-divider ant-divider-vertical" role="separator"></div></span> <span><a class="footer-minor-nav__link" aria-label="Cookie Preferences">饼干的偏好</一个></span> </div> </footer> </div> </section> <noscript> <iframe src="https://www.newsama.com/ns.html?id=GTM-MQ4MGW" height="0" width="0" style="display:none;visibility:hidden"></iframe> </noscript> </div> </body> </html>