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no-repeat 6px;background-position:center;min-width:55px;display:none;} @media (min-width:768px){.fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption .expand_btn{display:none;}} .fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{-webkit-flex:9;-ms-flex:9;flex:9;text-align:left;padding:21px 37px 21px 0;font-size:16px;font-weight:700;} @media (min-width:768px){.fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 18px 20px 18px;}} @media (min-width:992px){.fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-text{padding:19px 21px 21px 21px;}} .fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption 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no-repeat 6px;background-position:center;padding:16px 0 16px 0;min-width:62px;max-width:62px;} @media (min-width:768px){.fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:16px 0 17px 0;min-width:52px;max-width:52px;}} @media (min-width:992px){.fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url{padding:15px 0 17px 0;min-width:60px;max-width:60px;}} .fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption .caption-partial-url:hover{-webkit-text-decoration:none;text-decoration:none;} .fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption-text{font-size:14px;padding:21px 18px 17px 22px;font-family:STIXGeneral-Regular;} @media (min-width:768px){.fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:22px 15px 15px 18px;}} @media (min-width:992px){.fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption-text{padding:16px 18px 19px 21px;}} .fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption-text figcaption{margin:0;padding:0;} .fuTMHY .floats-partial-section .floats-partial-footer .floats-partial-caption-text svg{max-width:100%;} .fuTMHY ol{font-size:16px;padding-left:32px;font-family:STIXGeneral-Regular;line-height:24px;margin:15px 0;} .fuTMHY ol li{margin:10px 0;padding-left:10px;word-break:normal;} .fuTMHY ol li a{word-break:break-all;} .fuTMHY ol li .reflinks{display:block;} .fuTMHY ol li .reflinks a{color:#4D8A17;-webkit-text-decoration:none;text-decoration:none;cursor:pointer;} .fuTMHY ol li .reflinks a:hover{-webkit-text-decoration:underline;text-decoration:underline;} .fuTMHY ol li .reflinks .sep{color:#000000;} .fuTMHY .table-wrapper{width:auto;overflow-x:auto;} .fuTMHY .table-wrapper::-webkit-scrollbar{-webkit-appearance:none;width:5px;height:5px;} .fuTMHY 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.fuTMHY .partial-carousel-dot{text-align:center;cursor:pointer;border:0;width:100px;padding-bottom:20px;background-color:#fff;display:table-cell;} .fuTMHY .partial-carousel-dot:focus-visible{outline-offset:-3px;} .fuTMHY .partial-carousel-dot strong{font-size:11px;padding-top:12px;} @media (min-width:767.5px){.fuTMHY .partial-carousel-dot strong{font-size:16px;}} .fuTMHY .partial-carousel-dot img{width:90px;height:90px;border:1px solid #979797;margin:10px 0;} .fuTMHY .partial-carousel-wrapper .floats-partial-middle{border-top:1px solid #e3e3e3;display:block;margin-bottom:50px;padding-top:1px;} @media (min-width:767.5px){.fuTMHY .partial-carousel-wrapper .floats-partial-middle{display:-webkit-box;display:-webkit-flex;display:-ms-flexbox;display:flex;margin-bottom:0;}} .fuTMHY .partial-carousel--single-image{overflow:hidden;text-align:center;} .fuTMHY .partial-carousel--single-image img{width:100%;max-height:239px;height:auto;} @media (min-width:767.5px){.fuTMHY 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href="//www.newsama.com/journals/ijbi/" aria-label="International Journal of Biomedical Imaging">国际生物医学成像杂志》上</一个>/<gydF4y2Ba一个cl一个ss="sc-htpNat bUhGXt link sc-kEmuub hRBKET breadCrumb" href="//www.newsama.com/journals/ijbi/contents/year/2011/" aria-label="2011">2011年</一个>/<ggydF4y2BaydF4y2Baspan class="sc-bbkauy bAmZHt">文章</gydF4y2Baspan> </div> <div class="threeColumn__ThreeColumnWrapper-sc-1bf4078-0 uVYyF threeColumnWrapper"> <div class="threeColumn__LeftWrapper-sc-1bf4078-1 fkVFlF leftWrapper"> <button type="button" class="sc-hzDEsm fuYUWV section__button " id="sectionButton"><span class="sc-htoDjs diutvq icon__dots dots__detector icon-colored _3n-7Ho7DlfjMlZbrRr9Q4a icon-themeable" title="" font-size="22"></span>文章部分</gydF4y2Babutton> <div class="sc-eInJlc fMnOCC static_contents__section_links links__hidden "> <div id="leftSectionMenu" class="sc-iujRgT kgnSNR sc-hgHYgh fgALee left_section_menu"> <p>在这一页上</gydF4y2Bap> <span class="sc-fOICqy jUXuDi grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-gtfDJT giUMKZ" href="#abstract" aria-label="">文摘</一个></span> <span class="sc-fOICqy jUXuDi grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-gtfDJT giUMKZ" href="#introduction" aria-label="">介绍</一个></span> <span class="sc-fOICqy jUXuDi grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-gtfDJT giUMKZ" href="#numerical-results-and-analysis" aria-label="">分析</一个></span> <span class="sc-fOICqy jUXuDi grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-gtfDJT giUMKZ" href="#discussions-and-conclusion" aria-label="">结论</一个></span> <span class="sc-fOICqy jUXuDi grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-gtfDJT giUMKZ" href="#acknowledgments" aria-label="">确认</一个></span> <span class="sc-fOICqy jUXuDi grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-gtfDJT giUMKZ" href="#references" aria-label="">引用</一个></span> <span class="sc-fOICqy jUXuDi grey" property="background-color" color="#D8D8D8"><a class="sc-htpNat bUhGXt link sc-gtfDJT giUMKZ" href="#copyright" aria-label="">版权</一个></span> </div> </div> </div> <div class="threeColumn__ContentWrapper-sc-1bf4078-3 bbzREB contentWrapper"> <div class="threeColumn__Content-sc-1bf4078-4 jknsZc content"> <div class="articleContent__ArticleContentsWrapper-sc-2yl9jy-0 eSvjPB article_contents"> <div class="articleContent__ArticleContentsSectionsWrapper-sc-2yl9jy-1 jntdRu article_contents__sections_wrapper"> <div class="articleContent__ArticleWrapper-sc-2yl9jy-2 hAzjHP"> <div class="sc-jtggT hRFckM article_header_class"> <div class="sc-ebFjAB igytsx"> <span class="sc-jKVCRD coOovf">特殊的问题</gydF4y2Baspan> <h2 class="sc-kaNhvL fAyCHF">2011年数学方法对图像和表面</gydF4y2Bah2> <a class="sc-htpNat bUhGXt link sc-LKuAh ekTSUD" href="//www.newsama.com/journals/ijbi/si/476343/" aria-label="">把这个特殊的问题</一个><hr class="sc-fcdeBU IXRXP"> </div> <p class="sc-iBEsjs cJuRPa article_type">研究文章|<gydF4y2Ba!-- -->开放获取</gydF4y2Bap> <div class="sc-hzNEM jtSvIR article_citation"> 体积<gydF4y2Ba!-- --> 2011年<gydF4y2Ba!-- --> <span class="sc-kxynE bfcQlE">|</gydF4y2Baspan>文章的ID<gydF4y2Ba!-- --> 210428年<gydF4y2Ba!-- --> <span class="sc-kxynE bfcQlE">|</gydF4y2Baspan> <a class="sc-htpNat bUhGXt link sc-cooIXK ceqZdW" href="https://doi.org/10.1155/2011/210428" aria-label="Doi-link">https://doi.org/10.1155/2011/210428</一个></div> <div class="sc-iGrrsa bSAkNj article_full_citation"> <div class="sc-dEoRIm jpFWyG isHide"> <p>晶晶,方Liu l . c .焦书院杨他小韦<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> ”<gydF4y2Baspan>有限元网格聚合多个源重建生物发光断层扫描方法</gydF4y2Baspan>”,<gydF4y2Ba!-- --><i>国际生物医学成像杂志》上</我>,<ggydF4y2BaydF4y2Ba!-- --> 卷。<gydF4y2Ba!-- -->2011年<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> 文章的ID<gydF4y2Ba!-- -->210428年<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> 12<gydF4y2Ba!-- -->   页面<gydF4y2Ba!-- -->,<gydF4y2Ba!-- --> 2011年<gydF4y2Ba!-- -->。<gydF4y2Ba!-- --> https://doi.org/10.1155/2011/210428</gydF4y2Bap> </div> <button class="sc-iAyFgw irxuxk sc-bmyXtO gFAjsK" color="">显示引用</gydF4y2Babutton> </div> <h1 class="sc-gPEVay iUuzmH sc-chbbiW fUTznD article_title heading-title">有限元网格聚合多个源重建生物发光断层扫描方法</gydF4y2Bah1> </div> <div class="sc-hIVACf hYRfeq article_authors"> <hr class="sc-kQsIoO kyyvRa hr__author"> <span class=""><b>晶晶玉</gydF4y2Bab><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail to Author Option"><span class="sc-htoDjs kNoiZu sc-gpHHfC iFiPLx icon-colored _2zt-1j0LmaF8UjTQAM413G icon-themeable" title="" font-size="16"></span></a>,<gydF4y2Basup>1<gydF4y2Ba!-- -->,<gydF4y2Ba!-- -->2</gydF4y2Basup></span> <span class=""><b>方刘</gydF4y2Bab><a class="sc-htpNat bUhGXt link" href="mailto:" aria-label="Mail to Author Option"><span class="sc-htoDjs kNoiZu sc-gpHHfC iFiPLx icon-colored _2zt-1j0LmaF8UjTQAM413G icon-themeable" title="" font-size="16"></span></a>,<gydF4y2Basup>1<gydF4y2Ba!-- -->,<gydF4y2Ba!-- -->2</gydF4y2Basup></span> <span class="">l . c .焦<gydF4y2Ba!-- -->,<gydF4y2Basup>2</gydF4y2Basup></span> <span class="">将杨<gydF4y2Ba!-- -->,<gydF4y2Basup>2</gydF4y2Basup> 和</gydF4y2Baspan> <span class="">晓伟他<gydF4y2Basup>3</gydF4y2Basup></span> <div class="sc-cpmKsF gljosP isHide"> <p><sup>1</gydF4y2Basup><span>西安电子科技大学计算机科学与技术学院,710071年西安,中国</gydF4y2Baspan></p> <p><sup>2</gydF4y2Basup><span>重点实验室智能感知与图像理解教育部中国宁海西店大学,西安710071年,中国</gydF4y2Baspan></p> <p><sup>3</gydF4y2Basup><span>信息科学和技术学院、西北大学、西安710069年,中国</gydF4y2Baspan></p> </div> <button class="sc-iAyFgw irxuxk sc-eXNvrr gvRxK" color="">显示更多</gydF4y2Babutton> </div> <div class="articleContent__EditorWrapper-sc-2yl9jy-3 evMkvU"> <div class="articleContent__TextWrapper-sc-2yl9jy-8 fYrLtk"> <b>学术编辑器:</gydF4y2Bab>山赵</gydF4y2Badiv> <div class="articleContent__PublicationTimeLineWrapper-sc-2yl9jy-4 fjviok"> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">收到了</gydF4y2Baspan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2011年6月24日</gydF4y2Baspan> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">修改后的</gydF4y2Baspan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2011年8月22日</gydF4y2Baspan> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC notPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">接受</gydF4y2Baspan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2011年8月25日</gydF4y2Baspan> </div> <div class="articleContent__PublcationCol-sc-2yl9jy-5 hgKieC isPublished"> <span class="articleContent__PublicationField-sc-2yl9jy-6 cIribm">发表</gydF4y2Baspan> <span class="articleContent__PublicationValue-sc-2yl9jy-7 khHUcu">2011年11月14日</gydF4y2Baspan> </div> </div> </div> <article class="sc-kasBVs fuTMHY article_body "> <div> <div class="xml-content"> <h4 class="header" id="abstract">文摘</gydF4y2Bah4> <p>提出了一种有限元网格聚合方法重建图像的多个内部生物荧光的来源。而不是假设网格节点之间的独立性,提出重建策略利用空间结构的节点上的密度分布和聚合特性有限元网格自适应确定来源的数量和提高重建图像的质量。与拟议的战略集成regularization-based重建过程,重建算法不需要先验知识的来源数量;更重要的是,它们可以自动重建多个源密度或权力有很大的不同。</gydF4y2Bap> <span class="end-abs"></span> <h4 id="introduction">1。介绍</gydF4y2Bah4> <p>生物发光断层扫描(BLT)是一个快速增长的领域的研究在光学分子成像中,它允许可视化的正常与异常细胞过程的活物,在分子或基因水平(<一个href="#B1">1</一个>- - - - - -<一个href="#B4">4</一个>]。BLT,我们寻求恢复生物发光光源的空间分布在一个小动物从外部的无创性测量(<一个href="#B5">5</一个>]。一般来说,内部源强度密切相关的分子/细胞活动,例如基因表达(<一个href="#B6">6</一个>]。因此,这种成像方法可以提供深入的信息有关生物来源的内部纵向监测和定量评估的变化和有效性,从而进一步促进我们理解生物分子过程发生在活的动物。</gydF4y2Bap> <p>当使用BLT技术测量效率的基因治疗或观察癌细胞的增长或迁移,准确检测不同来源不同的密度或能力大大工具性;例如,它可能产生大量的关于肿瘤的信息传播和在各种网站开发总疾病负担(<一个href="#B1">1</一个>,<gydF4y2Ba一个href="#B7">7</一个>,<gydF4y2Ba一个href="#B8">8</一个>]。因此,本文的重点是多个源重建在BLT迄今并没有得到充分的考虑。</gydF4y2Bap> <p>大多数BLT重建方法可分为基于模型的重建(<一个href="#B9">9</一个>]。在这种情况下,给定一个光传播模型,边界上的通量可以预测与数值方法,如有限元法(FEM)通过结合结构信息和光学参数对不同的器官。然后BLT被制定为一个优化问题最小化的边界之间的差异测量和预测组织表面的光强度(<一个href="#B10">10</一个>]。</gydF4y2Bap> <p>在重建过程中,病人posedness BLT问题并构成挑战的决定一个独特的解决问题的层析。提出了不同的策略来应对不良posedness BLT逆问题。这些研究获得稳定重建通过增加数量的独立测量幽灵似地解决方法(<一个href="#B11">11</一个>- - - - - -<一个href="#B13">13</一个>),或者通过减少未知数的数目<一个href="#B10">10</一个>,<gydF4y2Ba一个href="#B14">14</一个>),或与正则化技术将一些<我>先天的</我>关于逆源问题[<一个href="#B15">15</一个>- - - - - -<一个href="#B17">17</一个>]。在本文中,我们集中我们的注意力在多个源重建与单色边界测量正则化技术重建过程中是不可避免的。</gydF4y2Bap> <p>现有regularization-based重建计划迄今在生物荧光成像可以大致分为三类:<gydF4y2Basvg height="14.475" id="M1" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>正规化,<gydF4y2Basvg height="14.475" id="M2" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>正规化,隐式正规化TSVD和LSQR等(<一个href="#B18">18</一个>,<gydF4y2Ba一个href="#B19">19</一个>]。通过正则化,一些约束应用于重建和收益率BLT问题的近似解。不管使用规范,源位置和可视化仍需临床实践。大多数源位置计划直接基于重构密度矢量和密度越大,越可能源中心。具体来说,根据先验知识的来源,几个大的节点密度值被认为是有前途的来源或设置一个全局阈值指的是最大密度,只有那些节点密度值高于阈值将显示出来。</gydF4y2Bap> <p>BLT在大多数应用程序中,例如,监测癌症转移,资源数量和适当的全局阈值很容易确定。这主要是由于这一事实发光灯通常是软弱和扩散,因此潜在来源的数量很难估计只有表面光子分布。此外,全球区分阈值策略是不可行的多个来源有明显差异。特别是在<gydF4y2Basvg height="14.475" id="M3" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>规范正则化情况下,获得的解决方案通常是oversmoothing,因此较低的阈值会招致一些工件在最后图像而更高的人会放弃一些小的潜在来源。因此,有效的重建计划多个来源不同的力量值得进一步调查。</gydF4y2Bap> <p>在本文中,我们开发一个有限元网格为多个源重建BLT聚合方法。摘要BLT重建的贡献包括以下。首先,我们提出一个多个源检测策略。而不是假设网格节点之间的独立性,提出重建策略利用空间结构节点和能量衰减的特征自适应地确定来源的数量和提高重建图像的质量。其次,我们提出的重建策略集成regularization-based逆算法构建一个统一的框架,解决BLT逆问题。数值模拟和幽灵的实验证明了该框架的有效性。</gydF4y2Bap> <p>本文组织如下。节<一个href="#sec2">2</一个>多个源重建框架,强调finite-element-mesh-aggregating-based源检测策略。节<一个href="#sec3">3</一个>我们评估该方法与数值模拟。部分<一个href="#sec4">4</一个>提出了一种幻影实验进一步测试了该方法的有效性。简短的讨论和结论给出本文的末尾。</gydF4y2Bap> <h4 id="multiple-source-reconstruction-framework">2。多个源重建框架</gydF4y2Bah4> <h5 id="sec2.1">2.1。有限元逆模型</gydF4y2Bah5> <p>辐射传递方程(RTE)在图像重建中扮演一个重要的角色通过预测组织边界上的生物荧光光强度(<一个href="#B20">20.</一个>解决RTE),但仍然是一个棘手的任务与空间非均匀生物组织光学特性和复杂的组织几何图形(<一个href="#B21">21</一个>]。相反,一些近似RTE已经建立了直接解决RTE克服的困难。其中,扩散近似(DA)模型被广泛用于描述光子在组织传播,有散射主要吸收(<一个href="#B5">5</一个>- - - - - -<一个href="#B14">14</一个>]。在这里,我们限制我们的讨论的DA模型简单。罗宾的稳态扩散方程与边界条件可以表示如下(<一个href="#B10">10</一个>]:<gydF4y2Baspan class="equation" id="EEq1"> <svg height="46.962502" id="M4" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 46.962502" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,46.9625)"> <g transform="translate(72,-34.43)"> <text transform="matrix(1,0,0,-1,73.72,63.2)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> ∇</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.479914" y="0"> ⋅</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.831438" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.994938" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.147854" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.311352" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.612865" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.85186" y="0"> ∇</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="68.991554" y="0"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="80.619347" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="84.782845" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="91.084358" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.247856" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="102.18702" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="113.52724" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,194.87,60.07)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,201.85,63.2)"> <tspan style="font-size: 12.50px; " x="-82.589996" y="26.67"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.465011" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.704008" y="0"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.331799" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.495296" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.79681" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.436142" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.464027" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.554192" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="73.71769" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="80.019203" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.270699" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="101.43684" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="105.60034" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="114.6275" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="126.66789" y="0"> Ω</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="135.97012" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="140.14" y="0.63"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="272.26999" y="0.63"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="276.4335" y="0.63"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="282.685" y="0.63"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-140.25999" y="24.16"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-128.64471" y="24.16"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-124.48122" y="24.16"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-118.1797" y="24.16"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-111.24054" y="24.16"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-99.900314" y="24.16"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-93.648819" y="24.16"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-76.739998" y="24.16"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-71.188667" y="24.16"> ;</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-65.637337" y="24.16"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-59.423344" y="24.16"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-54.209595" y="24.16"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,153.86,44.04)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,157.34,36.53)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.9299998" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.070414" y="-2.51"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.233912" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.535423" y="-2.51"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.786922" y="-2.51"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.950424" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.364941" y="-2.51"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.528442" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.829952" y="-2.51"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.769119" y="-2.51"> ⋅</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="73.120644" y="-2.51"> ∇</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="82.260338" y="-2.51"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.888123" y="-2.51"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="98.05162" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.35313" y="-2.51"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="108.51663" y="-2.51"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="116.14346" y="-2.51"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="128.18385" y="-2.51"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="134.43535" y="-2.51"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="149.614" y="-2.51"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="153.7775" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="162.80466" y="-2.51"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="174.83255" y="-2.51"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="181.22157" y="-2.51"> Ω</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="190.52382" y="-2.51"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="196.77531" y="-2.51"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="316.78" y="-2.51"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="320.94351" y="-2.51"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="327.19501" y="-2.51"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<gydF4y2Basvg height="13.45" id="M6" style="vertical-align:-2.21957pt;width:29.4px;" version="1.1" viewbox="0 0 29.4 13.45" width="29.4" 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"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5397892" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.25462" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>光子功率密度在哪里<gydF4y2Basvg height="13.45" id="M7" style="vertical-align:-2.21957pt;width:72.099998px;" version="1.1" viewbox="0 0 72.099998 13.45" width="72.099998" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.0146627" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.055052" y="0"> Ω</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.357285" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.571033" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.697987" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.861485" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.412815" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>基因表达是一个各向同性源分布,<gydF4y2Basvg height="13.45" id="M8" style="vertical-align:-2.21957pt;width:29.825001px;" version="1.1" viewbox="0 0 29.825001 13.45" width="29.825001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.8773699" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.040869" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.592201" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.7125" id="M9" style="vertical-align:-3.22282pt;width:33.099998px;" version="1.1" viewbox="0 0 33.099998 14.7125" width="33.099998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.34,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.44,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>分别是光学扩散和吸收系数。在这项工作中,我们假设这两个参数是不变的BLT重建过程。这个词<gydF4y2Basvg height="13.45" id="M10" style="vertical-align:-2.21957pt;width:25.375px;" version="1.1" viewbox="0 0 25.375 13.45" width="25.375" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.3265181" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.490017" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.041349" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>在(<一个href="#EEq1">2</一个>)是指单位在边界外正常<gydF4y2Basvg height="15.325" id="M11" style="vertical-align:-2.21957pt;width:244.97501px;" version="1.1" viewbox="0 0 244.97501 15.325" width="244.97501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,15.325)"> <g transform="translate(72,-59.74)"> <text transform="matrix(1,0,0,-1,-71.95,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> Ω</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.678762" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.056011" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.020664" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.184162" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.285385" y="0"> ;</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="48.84922" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.063213" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.276962" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-5.45,67.01)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-1.98,62)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.6268301" y="0"> ≈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.667219" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.830717" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.857883" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.198105" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.450325" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.613823" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="62.71505" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.878548" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.042046" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="74.517883" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.681381" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="87.721046" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="99.061272" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="108.31349" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="112.47699" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="117.57821" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="121.74171" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是边界不匹配因素占不同折射率的边界<gydF4y2Basvg height="10.8625" id="M12" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.3765302" y="0"> Ω</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Bap> <p>遵循标准的有限元分析[<一个href="#B22">22</一个>),支持领域<gydF4y2Basvg height="10.6875" id="M13" 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</gydF4y2Batspan> </text> </g> </g> </svg>离散成<gydF4y2Basvg height="10.325" id="M14" style="vertical-align:-0.0pt;width:11.225px;" version="1.1" viewbox="0 0 11.225 10.325" width="11.225" 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"> </gydF4y2Batspan> </text> </g> </g> </svg>顶点节点(<gydF4y2Basvg height="14.2375" id="M15" style="vertical-align:-3.13504pt;width:98.375px;" version="1.1" viewbox="0 0 98.375 14.2375" width="98.375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.2375)"> <g transform="translate(72,-60.61)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.31,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.44,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2137508" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-40.59,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-35.71,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="19.79225" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.993498" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-0.07,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>),<gydF4y2Basvg height="14.3625" id="M16" style="vertical-align:-3.2316pt;width:18.9125px;" version="1.1" viewbox="0 0 18.9125 14.3625" width="18.9125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.3625)"> <g transform="translate(72,-60.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.31,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>网格元素,表示<gydF4y2Basvg height="17.924999" id="M17" style="vertical-align:-3.2316pt;width:123.0375px;" version="1.1" viewbox="0 0 123.0375 17.924999" width="123.0375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.925)"> <g transform="translate(72,-57.66)"> <text transform="matrix(1,0,0,-1,-71.95,60.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Ω</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.65,66.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.02,60.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.602784" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.643173" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.894672" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.095921" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.34742" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.561172" y="0"> …</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="61.152172" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.353424" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,21.99,57.81)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>);然后<gydF4y2Basvg height="13.45" id="M18" style="vertical-align:-2.21957pt;width:28.8375px;" version="1.1" viewbox="0 0 28.8375 13.45" width="28.8375" 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"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5397892" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.804512" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和源项<gydF4y2Basvg height="13.45" id="M19" style="vertical-align:-2.21957pt;width:27.075001px;" version="1.1" viewbox="0 0 27.075001 13.45" width="27.075001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.1269503" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.290449" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.391672" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>可以近似表示为<gydF4y2Baspan class="equation" id="EEq4"> <svg height="112.425" id="M20" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 112.425" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,112.425)"> <g transform="translate(72,17.94)"> <text transform="matrix(1,0,0,-1,107.12,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.615287" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.778786" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.880011" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.519342" y="0"> ≈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.559731" y="0"> Φ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,157.22,52.82)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,164.85,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.904057" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,198.76,63.76)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,193.79,41.27)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,194.31,34.09)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,209.95,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,218.01,44.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,223.25,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,231.58,44.69)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,238.91,47.82)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.669859" y="0"> ∀</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.671539" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.248596" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.288986" y="0"> Ω</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.591217" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-130.72" y="49.400002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-119.62984" y="49.400002"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-115.46634" y="49.400002"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-110.36511" y="49.400002"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-102.73829" y="49.400002"> ≈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="-90.697899" y="49.400002"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,157.22,3.49)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ℎ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,164.85,-1.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.904057" y="0"> =</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,198.76,14.36)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,193.79,-8.13)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,194.31,-15.31)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.7435842" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="10.738704" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,209.95,-1.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,215.45,-4.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,220.69,-1.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,227.04,-4.71)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,234.37,-1.58)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2647228" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.669859" y="0"> ∀</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.671539" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.248596" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="58.288986" y="0"> Ω</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.591217" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="239.75" y="-25.49"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="243.9135" y="-25.49"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="250.16499" y="-25.49"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<gydF4y2Basvg height="14.5875" id="M21" style="vertical-align:-3.2316pt;width:16.762501px;" version="1.1" viewbox="0 0 16.762501 14.5875" width="16.762501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.5875)"> <g transform="translate(72,-60.33)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.89,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>的近似节点值吗<gydF4y2Basvg height="13.45" id="M22" style="vertical-align:-2.21957pt;width:28.8375px;" version="1.1" viewbox="0 0 28.8375 13.45" width="28.8375" 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"> Φ</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5397892" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.703288" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.804512" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>在<gydF4y2Basvg height="10.7375" id="M23" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" 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"> </gydF4y2Batspan> </text> </g> </g> </svg>th节点<gydF4y2Basvg height="14.7125" id="M24" style="vertical-align:-3.2316pt;width:60.237499px;" version="1.1" viewbox="0 0 60.237499 14.7125" width="60.237499" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-61.31,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-56.07,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-42.53,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-37.29,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2647228" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>元素节点基函数的支持<gydF4y2Basvg height="17.924999" id="M25" style="vertical-align:-3.2316pt;width:36.012501px;" version="1.1" viewbox="0 0 36.012501 17.924999" width="36.012501" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.925)"> <g transform="translate(72,-57.66)"> <text transform="matrix(1,0,0,-1,-71.95,60.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Ω</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.65,66.1)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.19,60.93)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="5.2012482" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-48.48,57.81)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>离散节点的值<gydF4y2Basvg height="13.45" id="M26" style="vertical-align:-2.21957pt;width:27.075001px;" version="1.1" viewbox="0 0 27.075001 13.45" width="27.075001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.1269503" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.290449" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.391672" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="14.7125" id="M27" style="vertical-align:-3.2316pt;width:31.4px;" version="1.1" viewbox="0 0 31.4 14.7125" width="31.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-65.6,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-60.36,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2647228" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>插值基函数,通常是相同的<gydF4y2Basvg height="14.7125" id="M28" style="vertical-align:-3.2316pt;width:33.875px;" version="1.1" viewbox="0 0 33.875 14.7125" width="33.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.62,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-58.38,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.2647228" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Bap> <p>基于(<一个href="#EEq1">1</一个>)- (<一个href="#EEq4">3</一个>),一个矩阵方程的线性源分布和边界测量之间的关系可以推导出<一个href="#B10">10</一个>第二节):<gydF4y2Baspan class="equation" id="EEq5"> <svg height="16.2125" id="M29" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 16.2125" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.2125)"> <g transform="translate(72,-59.03)"> <text transform="matrix(1,0,0,-1,183.2,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.9646511" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.567434" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.595322" y="0"> Φ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,225.35,67.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,230.42,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="243.7" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="247.86349" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="254.11501" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>在哪里<gydF4y2Basvg height="10.55" id="M30" 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"> </gydF4y2Batspan> </text> </g> </g> </svg>是一个典型的坏脾气的矩阵和<gydF4y2Basvg height="11.525" id="M31" style="vertical-align:-0.0pt;width:18.4px;" version="1.1" viewbox="0 0 18.4 11.525" width="18.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.525)"> <g transform="translate(72,-62.78)"> <text transform="matrix(1,0,0,-1,-71.95,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.41,67.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</gydF4y2Batspan> </text> </g> </g> </svg>代表可测量的边界节点光子密度。在真正的BLT实验中,<gydF4y2Basvg height="11.525" id="M32" style="vertical-align:-0.0pt;width:18.4px;" version="1.1" viewbox="0 0 18.4 11.525" width="18.4" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.525)"> <g transform="translate(72,-62.78)"> <text transform="matrix(1,0,0,-1,-71.95,62.83)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.41,67.83)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</gydF4y2Batspan> </text> </g> </g> </svg>计算从表面通量与CCD相机图像捕获。</gydF4y2Bap> <h5 id="sec2.2">2.2。一般<gydF4y2Basvg height="16.475" id="M33" style="vertical-align:-4.74141pt;width:11.0625px;" version="1.1" viewbox="0 0 11.0625 16.475" width="11.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.475)"> <g transform="translate(72,-58.82)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>-Norm-Based正规化</gydF4y2Bah5> <p>就像前面提到的<一个href="#sec1">1</一个>,边界上的通量密度可以根据预测模型,从而重建自然选择来源是最小化预测数据和测量之间的错配,也就是说,<gydF4y2Baspan class="equation" id="EEq6"> <svg height="27.674999" id="M34" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 27.674999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,27.675)"> <g transform="translate(72,-49.86)"> <text transform="matrix(1,0,0,-1,141.22,60.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.602784" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.630671" y="0"> 一个</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.182001" y="0"> r</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.345501" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.773003" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.500336" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="56.97617" y="0"> n</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,192.62,52.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,206.54,60.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.5390692" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.50372" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.393833" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.746555" y="0"> Φ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,253.83,65.19)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,258.9,60.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,267.53,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,272.4,60.19)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="201.72" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="205.8835" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="212.13499" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>处理的不良posedness BLT逆问题,允许源区通常由空间约束纳入重建模型重建领域感兴趣的区域(<一个href="#B10">10</一个>,<gydF4y2Ba一个href="#B14">14</一个>,<gydF4y2Ba一个href="#B16">16</一个>,<gydF4y2Ba一个href="#B25">23</一个>]。重建一个更有效的方法是使用正则化来充当一个代数稳定剂在评估解决方案。</gydF4y2Bap> <p>使用一个通用<gydF4y2Basvg height="16.6" id="M35" style="vertical-align:-4.74141pt;width:88.737503px;" version="1.1" viewbox="0 0 88.737503 16.6" width="88.737503" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6)"> <g transform="translate(72,-58.72)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.03,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.87833" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.918718" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.508518" y="0"> ⩽</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.548908" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.800407" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>规范约束,用BLT重建的目标函数(<一个href="#EEq6">5</一个>):<ggydF4y2BaydF4y2Baspan class="equation" id="EEq7"> <svg height="31.299999" id="M36" preserveaspectratio="xMaxYMin" style="vertical-align:-0pt;width:700.9375px;" version="1.1" viewbox="0 0 700.9375 31.299999" width="700.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,31.3)"> <g transform="translate(72,-46.96)"> <text transform="matrix(1,0,0,-1,99.43,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,107.56,54.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> r</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="2.905664" y="0"> e</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.7915521" y="0"> g</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,122.69,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 一个</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.579218" y="0"> r</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.742718" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="32.170219" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="41.897552" y="0"> 我</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.373386" y="0"> n</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,162.48,49.57)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,178.49,52.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.96" y="-4.9099998"> 为</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.5" y="-4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.464651" y="-4.9200001"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.367268" y="-4.9200001"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.707489" y="-4.9200001"> Φ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,234.74,62.29)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,239.82,57.28)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,248.44,63.13)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="9.2200003"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,256.09,57.29)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.104343" y="0"> 为</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.643414" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.645573" y="0"> 为</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,298.37,54.16)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,303.14,52.37)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.05" y="-4.9200001"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="170.98" y="-4.9200001"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="175.14349" y="-4.9200001"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="181.395" y="-4.9200001"> )</gydF4y2Batspan> </text> </g> </g> </svg></span>其中第一项表示重建误差和第二个是正则化项,保险丝吗<我>先天的</我>知识或约束重建。正则化参数<gydF4y2Basvg height="11.0625" id="M37" style="vertical-align:-0.30096pt;width:35.787498px;" version="1.1" viewbox="0 0 35.787498 11.0625" width="35.787498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.0625)"> <g transform="translate(72,-63.15)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.227454" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.267843" y="0"> 0</gydF4y2Batspan> </text> </g> </g> </svg>提供了一个关于解决方案数据拟合和约束之间的权衡。显然,Tikhonov正则化方法的一种特殊情况(<一个href="#EEq7">6</一个>)<ggydF4y2BaydF4y2Basvg height="13.55" id="M38" style="vertical-align:-2.29482pt;width:34.974998px;" version="1.1" viewbox="0 0 34.974998 13.55" width="34.974998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,也就是说,使用一个<gydF4y2Basvg height="14.475" id="M39" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>标准规范。为<gydF4y2Basvg height="13.55" id="M40" style="vertical-align:-2.29482pt;width:34.974998px;" version="1.1" viewbox="0 0 34.974998 13.55" width="34.974998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.55)"> <g transform="translate(72,-61.16)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.5772982" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.617687" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="14.475" id="M41" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>-norm-based稀疏正则化方法在BLT(最近吸引了大量的关注<一个href="#B17">17</一个>,<gydF4y2Ba一个href="#B25">23</一个>- - - - - -<一个href="#B24">25</一个>)和重建结果在目睹了一些改善图像质量。</gydF4y2Bap> <h5 id="sec2.3">2.3。多个源检测策略</gydF4y2Bah5> <p>基于解决方案(一个源密度矢量)获得的部分<一个href="#sec2.2">2。2</一个>源定位和影像是由结合有限元网格的信息。面对阈值选择的困境中提到的部分<一个href="#sec1">1</一个>,我们希望一个自适应的方法,可以避免阈值选择的困难,同时去除工件在重建图像相对较低的计算成本。</gydF4y2Bap> <p>BLT认为在大多数应用程序中,例如,检测事件发生在疾病进展的早期阶段,生物荧光的来源我们想恢复通常是本地化的一些小亚区域。另一方面,因为在生物组织光强度严重减毒和脱落指数从照明角度,一个发光的扩散范围由源是有限的力量源泉。因此,当考虑到网格节点的空间结构,源密度向量应该有一个空间聚合网,这也说明在实验部分<一个href="#sec3">3</一个>(图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig4/" target="_blank">4</一个>)。发现,在一个很小的局部区域,如果一个节点在网格的最大密度值,其相邻节点有一个非常高的概率也更大的密度。它是发现,在一个很小的局部区域,如果一个节点在网格的最大密度值,有一个非常高的概率其相邻节点也与一个更大的密度。我们也注意到,有一些较小的节点密度附近的节点与更大的密度。这些观察有助于识别pseudosource网格节点的集群和消除工件的图像。根据上面的分析,一个迭代的多个源检测策略(MSDS)提出了以下步骤。</gydF4y2Bap> <p><span class="statement" id="step1"><span class="statement-title"><i class="statement-title">步骤1。</我></span>获得正规化的解决方案(源密度向量<gydF4y2Basvg height="10.725" id="M42" style="vertical-align:-0.1254pt;width:11.375px;" version="1.1" viewbox="0 0 11.375 10.725" width="11.375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.725)"> <g transform="translate(72,-63.42)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>)。</gydF4y2Baspan></p> <p><span class="statement" id="step2"><span class="statement-title"><i class="statement-title">步骤2。</我></span>阈值预处理。在不可避免的存在噪声,通常有许多非常小的非零组件的解决方案。因此,与一小阈值的预处理方案<gydF4y2Basvg height="14.7125" id="M43" style="vertical-align:-3.2316pt;width:69.3125px;" version="1.1" viewbox="0 0 69.3125 14.7125" width="69.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="7.8893929" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.616728" y="0"> 一个</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.168058" y="0"> x</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.671059" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.834557" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-23.98,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-20.76,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>有助于消除pseudosources和减少要处理的数据大小在随后的步骤。所有的实验部分<一个href="#sec3">3</一个>,恒<gydF4y2Basvg height="11.1" id="M44" style="vertical-align:-0.17555pt;width:53.349998px;" version="1.1" viewbox="0 0 53.349998 11.1" width="53.349998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.1)"> <g transform="translate(72,-63.12)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.6520758" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.692465" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.943966" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.069715" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.321217" y="0"> 5</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <p><span class="statement" id="step3"><span class="statement-title"><i class="statement-title">步骤3。</我></span>定义一组<gydF4y2Basvg height="14.9375" id="M45" style="vertical-align:-3.2316pt;width:158.425px;" version="1.1" viewbox="0 0 158.425 14.9375" width="158.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.9375)"> <g transform="translate(72,-60.05)"> <text transform="matrix(1,0,0,-1,-71.95,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.615527" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.655916" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.657356" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-33.16,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-26.47,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ∣</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.8016319" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.153396" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.193785" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.833839" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.047588" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,23.71,60.2)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,30.4,63.32)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ></gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <p><span class="statement" id="step4"><span class="statement-title"><i class="statement-title">步骤4。</我></span>最初的来源数量<gydF4y2Basvg height="10.8625" id="M46" style="vertical-align:-0.13794pt;width:35.799999px;" version="1.1" viewbox="0 0 35.799999 10.8625" width="35.799999" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.239957" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.280346" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <p><span class="statement" id="step5"><span class="statement-title"><i class="statement-title">第5步。</我></span>计算节点索引<gydF4y2Basvg height="17.4125" id="M47" style="vertical-align:-5.39853pt;width:136.58749px;" version="1.1" viewbox="0 0 136.58749 17.4125" width="136.58749" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.4125)"> <g transform="translate(72,-58.07)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.3269978" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.367388" y="0"> 一个</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.918718" y="0"> r</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.082218" y="0"> g</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.497215" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.224552" y="0"> 一个</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.775883" y="0"> x</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-5.74,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-0.05,58.18)"> <tspan style="font-size: 6.25px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,2.39,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∈</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,17.55,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,29.84,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,33.06,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>。我们移动元素<gydF4y2Basvg height="16.512501" id="M48" style="vertical-align:-4.77652pt;width:15.8125px;" version="1.1" viewbox="0 0 15.8125 16.512501" width="15.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5125)"> <g transform="translate(72,-58.79)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>一个新的组<gydF4y2Basvg height="14.3625" id="M49" style="vertical-align:-3.2316pt;width:15.9625px;" version="1.1" viewbox="0 0 15.9625 14.3625" width="15.9625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.3625)"> <g transform="translate(72,-60.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.52,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。通过遍历组<gydF4y2Basvg height="10.75" id="M50" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>我们可以找到直接邻接节点的其他元素<gydF4y2Basvg height="12.675" id="M51" style="vertical-align:-2.34499pt;width:7.1374998px;" version="1.1" viewbox="0 0 7.1374998 12.675" width="7.1374998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,12.675)"> <g transform="translate(72,-61.86)"> <text transform="matrix(1,0,0,-1,-71.95,64.25)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>(如果有的话)根据网状结构信息。Re-move这些元素<gydF4y2Basvg height="14.3625" id="M52" style="vertical-align:-3.2316pt;width:15.9625px;" version="1.1" viewbox="0 0 15.9625 14.3625" width="15.9625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.3625)"> <g transform="translate(72,-60.51)"> <text transform="matrix(1,0,0,-1,-71.95,63.79)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.52,60.66)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Baspan></p> <p><span class="statement" id="step6"><span class="statement-title"><i class="statement-title">步骤6。</我></span>如果设置<gydF4y2Basvg height="10.75" id="M53" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>是零,停止;否则<gydF4y2Basvg height="11.325" id="M54" style="vertical-align:-0.51414pt;width:69.912498px;" version="1.1" viewbox="0 0 69.912498 11.325" width="69.912498" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.239957" y="0"> ∶</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.62899" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.669378" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="38.221672" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.561893" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>,去一步<一个href="#step5">5</一个>。</gydF4y2Baspan></p> <p>上面定义的步骤,我们提供一个自动的方法来估计迭代重建结果的来源。最终结果包含<gydF4y2Basvg height="10.7375" id="M55" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" 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"> </gydF4y2Batspan> </text> </g> </g> </svg>来源。在这里,<gydF4y2Basvg height="10.7375" id="M56" style="vertical-align:-0.13794pt;width:8.6000004px;" version="1.1" viewbox="0 0 8.6000004 10.7375" width="8.6000004" 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"> </gydF4y2Batspan> </text> </g> </g> </svg>是初始集合的子集的数量吗<gydF4y2Basvg height="10.75" id="M57" style="vertical-align:-0.13794pt;width:11.875px;" version="1.1" viewbox="0 0 11.875 10.75" width="11.875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.75)"> <g transform="translate(72,-63.4)"> <text transform="matrix(1,0,0,-1,-71.95,63.59)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>上面的迭代结束时获得的。每个子集对应于一个重建的来源。当<gydF4y2Basvg height="14.7125" id="M58" style="vertical-align:-3.2316pt;width:93.675003px;" version="1.1" viewbox="0 0 93.675003 14.7125" width="93.675003" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7125)"> <g transform="translate(72,-60.23)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.52,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-57.14,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.527766" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.555653" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.807152" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.020905" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.873028" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="49.086777" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.863403" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>有不止一个成员,我们称之为“群体”,这些元素相关的节点将总代表单一来源和最大密度值和节点吗<gydF4y2Basvg height="16.512501" id="M59" style="vertical-align:-4.77652pt;width:15.8125px;" version="1.1" viewbox="0 0 15.8125 16.512501" width="15.8125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.5125)"> <g transform="translate(72,-58.79)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>被认为是源中心为简单起见。最终,笛卡尔坐标重建的来源得到的有限元网格节点索引。</gydF4y2Bap> <h5 id="sec2.4">2.4。多个源重建正则化框架</gydF4y2Bah5> <p>基于上述改造方案,我们建立一个统一的正则化框架重建通过集成多个源的化学物质<gydF4y2Basvg height="16.475" id="M60" style="vertical-align:-4.74141pt;width:11.0625px;" version="1.1" viewbox="0 0 11.0625 16.475" width="11.0625" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.475)"> <g transform="translate(72,-58.82)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>规范正规化,如图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig1/" target="_blank">1</一个>。</gydF4y2Bap> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig1"> <div class="floats-partial-content fig-content-fig1"> <div class="partial-carousel--single-image"> <img alt="" name="210428.fig.001" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.001.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图1</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/fig1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 多个源的正则化框架重建流程图。</gydF4y2Batable> </div> </div> </div> <p>这个框架的一个吸引人的属性是它的灵活性。这份是一个相对独立的组件框架,因此可以利用不同的调整和重建算法根据BLT的实践。</gydF4y2Bap> <h4 id="numerical-results-and-analysis">3所示。计算结果和分析</gydF4y2Bah4> <p>在本节中,我们提出一些数值试验验证了该方法的有效性效用和在多个源的设置。之间的比较是执行该MSDS和传统的全局阈值策略(GTS)。应该指出的是,本文的主题是为多个源评估这个框架的性能在BLT重建,而不是具体的重建算法之间的比较。的代表算法使用<gydF4y2Basvg height="14.475" id="M61" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.475" id="M62" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>正规化,Tikhonov正则化方法(<一个href="#B26">26</一个>),<ggydF4y2BaydF4y2Basvg height="10.8625" id="M63" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>(<一个href="#B27">27</一个>),分别结合上述两种策略恢复综合边界的内部来源分布测量。因此,重建方法评估以下实验包括Tikhonov + MSDS, Tikhonov + GTS,<gydF4y2Basvg height="10.8625" id="M64" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>+伤害,<gydF4y2Basvg height="10.8625" id="M65" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>+ GTS。</gydF4y2Bap> <p>众所周知,正则化参数对产量是至关重要的病态问题的一个好的解决方案,和正则化参数的选择通常是重要的。本文为Tikhonov正则化参数确定方法的自适应方法(<一个href="#B28">28</一个>]。至于<gydF4y2Basvg height="10.8625" id="M66" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>,参数<gydF4y2Basvg height="10.8125" id="M67" style="vertical-align:-0.20064pt;width:8.5749998px;" version="1.1" viewbox="0 0 8.5749998 10.8125" width="8.5749998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,10.8125)"> <g transform="translate(72,-63.35)"> <text transform="matrix(1,0,0,-1,-71.95,63.6)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>被选为建议(<一个href="#B27">27</一个>),也就是说,<gydF4y2Basvg height="17.5" id="M68" style="vertical-align:-3.13504pt;width:120.2875px;" version="1.1" viewbox="0 0 120.2875 17.5" width="120.2875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.5)"> <g transform="translate(72,-58)"> <text transform="matrix(1,0,0,-1,-71.95,61.18)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.227454" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.267843" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.519342" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.645094" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.896591" y="0"> 为</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.435661" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.68716" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-12.29,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-5.58,61.18)"> <tspan style="font-size: 12.50px; " x="0" y="0"> Φ</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,3.96,66.18)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∗</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,9.04,61.18)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 为</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,15.58,58.05)"> <tspan style="font-size: 8.75px; " x="0" y="0"> ∞</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Bap> <p>所有实验进行圆柱鼠标胸部数值幻影如图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig2/" target="_blank">2(一个)</一个>。异构模型30毫米直径30毫米高。不同器官的特殊的光学特性表中列出<一个href="//www.newsama.com/journals/ijbi/2011/210428/tab1/" target="_blank">1</一个>(<gydF4y2Ba一个href="#B14">14</一个>]。</gydF4y2Bap> <div class="floats-partial-section partial-other-wrapper" data-section="tab1"> <div class="floats-partial-content fig-content-tab1"> <table class="table-group" id="tab1"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr class="thead"> <td align="left">材料</gydF4y2Batd> <td align="center">组织</gydF4y2Batd> <td align="center">肺</gydF4y2Batd> <td align="center">心</gydF4y2Batd> <td align="center">骨</gydF4y2Batd> </tr> <tr> <td class="thead-hr" colspan="5"> <hr></td> </tr> <tr> <td align="left"><span style="width: 58.849998px;"> <svg height="17.7875" id="M69" style="vertical-align:-3.22282pt" version="1.1" viewbox="0 0 58.849998 17.7875" width="58.849998" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.7875)"> <g transform="translate(72,-57.77)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.34,57.91)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.44,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> c</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-40,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-29.13,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.07</gydF4y2Batd> <td align="center">0.23</gydF4y2Batd> <td align="center">0.11</gydF4y2Batd> <td align="center">0.01</gydF4y2Batd> </tr> <tr> <td align="left"><span style="width: 58.174999px;"> <svg height="17.799999" id="M70" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 58.174999 17.799999" width="58.174999" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,17.8)"> <g transform="translate(72,-57.76)"> <text transform="matrix(1,0,0,-1,-71.95,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-64.34,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="0" y="8.1199999"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-59.99,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> c</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7148314" y="0"> 米</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-40.54,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="5.99512" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-29.67,61.03)"> <tspan style="font-size: 12.50px; " x="0" y="0"> ]</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">10.31</gydF4y2Batd> <td align="center">20.00</gydF4y2Batd> <td align="center">10.96</gydF4y2Batd> <td align="center">0.60</gydF4y2Batd> </tr> <tr class="table-tr"> <td colspan="5"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表1</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/tab1/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 光学性质不同的器官。</gydF4y2Badiv> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig2"> <div class="floats-partial-content fig-content-fig2"> <div class="partial-carousel--single-image"> <img alt="(一)”n一个米e=”210428。fig.002a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002a.jpg"> <br> <strong>(一)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(b)”n一个米e=”210428。fig.002b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002b.jpg"> <br> <strong>(b)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(c)”n一个米e=”210428。fig.002c" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002c.jpg"> <br> <strong>(c)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(d)”n一个米e=”210428。fig.002d" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002d.jpg"> <br> <strong>(d)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(e)”n一个米e=”210428。fig.002e" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002e.jpg"> <br> <strong>(e)</gydF4y2Bastrong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig2"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)”n一个米e=”210428。fig.002a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002a.jpg"><br><strong>(一)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)”n一个米e=”210428。fig.002b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002b.jpg"><br><strong>(b)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(c)"><img alt="(c)”n一个米e=”210428。fig.002c" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002c.jpg"><br><strong>(c)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(d)"><img alt="(d)”n一个米e=”210428。fig.002d" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002d.jpg"><br><strong>(d)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(e)"><img alt="(e)”n一个米e=”210428。fig.002e" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.002e.jpg"><br><strong>(e)</gydF4y2Bastrong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig2"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图2</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/fig2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> (a)的3 d视图的幻影与两个球体的来源左肺。(b) - (e)生成不同的光子分布,分别在1:功率比1、2:1,4:1和8:1例。</gydF4y2Batable> </div> </div> </div> <h5 id="sec3.1">3.1。重建的双重来源不同的权力</gydF4y2Bah5> <p>在第一项研究中,我们考虑的能力解决不同的权力来源。两个球体半径为0.5毫米的来源与中心位置在左肺<gydF4y2Basvg height="14.7875" id="M71" style="vertical-align:-3.13504pt;width:123.5875px;" version="1.1" viewbox="0 0 123.5875 14.7875" width="123.5875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7875)"> <g transform="translate(72,-60.17)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.48,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.203888" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.019943" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.221191" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.785748" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.037247" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.162994" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="60.414497" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="65.62825" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.879745" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="78.131248" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="14.7875" id="M72" style="vertical-align:-3.13504pt;width:112.8875px;" version="1.1" viewbox="0 0 112.8875 14.7875" width="112.8875" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.7875)"> <g transform="translate(72,-60.17)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-55.48,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.040389" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="16.203888" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.768442" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.019943" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="36.221191" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.472691" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.598442" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.849941" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.06369" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="63.315193" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="69.566689" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>,分别。他们是统一的大小和形状。说明我们的讨论,我们认为4例实验设置:(I)这两个最初的源密度是1西北/毫米<gydF4y2Basup>3</gydF4y2Basup>;(2)(IV)的密度<gydF4y2Basvg height="14.475" id="M73" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>还是1西北/毫米吗<gydF4y2Basup>3</gydF4y2Basup>,但密度<gydF4y2Basvg height="14.475" id="M74" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>0.5西北/毫米吗<gydF4y2Basup>3</gydF4y2Basup>,0.25西北/ mm<gydF4y2Basup>3</gydF4y2Basup>和0.125西北/毫米<gydF4y2Basup>3</gydF4y2Basup>分别是,比率的力量来源<gydF4y2Basvg height="14.475" id="M75" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>的<gydF4y2Basvg height="14.475" id="M76" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>2:1、4:1,8:1。</gydF4y2Bap> <p>在接下来的实验中,模型离散成优美的四面体单元网格生成和合成测量通过解与有限元模型。模拟噪声参与真正的BLT实验,10%添加高斯白噪声是合成数据。数据<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig2/" target="_blank">2 (b)</一个>- - - - - -<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig2/" target="_blank">2 (e)</一个>显示网格和模拟表面光子分布在上面的四个来源设置。显然,很难预测源数量只有根据光子分布特别是在例(III)和例(IV)。</gydF4y2Bap> <p>在重建过程中,允许源区策略也被用作<我>先天的</我>信息以减少生病posedness BLT逆问题,定义为<gydF4y2Basvg height="16.9375" id="M77" style="vertical-align:-2.37006pt;width:316.75px;" version="1.1" viewbox="0 0 316.75 16.9375" width="316.75" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.9375)"> <g transform="translate(72,-58.45)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.164939" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.04159" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.242838" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.444324" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.658077" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.897072" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.536407" y="0"> ∣</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.325535" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.052872" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.093262" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="80.25676" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,15.19,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,22.84,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,40.39,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,45.26,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,49.42,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,64.58,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.744637" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.996136" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="42.247639" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.373386" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.100719" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.141113" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.843437" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="88.883827" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="95.13533" y="0"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="101.38683" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="104.51257" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="110.76408" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>(<一个href="#B14">14</一个>]。后提出了重建框架的重构进行了上述四种方法在不同源的设置。</gydF4y2Bap> <p>第一行和第三行图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig3/" target="_blank">3</一个>Tikhonov方法和显示最终的重建结果<gydF4y2Basvg height="10.8625" id="M78" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>方法结合该MSDS。相比之下,第二行和第四行图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig3/" target="_blank">3</一个>从GTS呈现相应的重构结果呈现,全局阈值(最大密度值的35%)。很明显,这两个来源是准确地检测到该MSDS结合不同的正则化方法在所有的情况下考虑。另一方面,例(3)和例(IV),只有权力较大的源由Tikhonov + GTS和检测<gydF4y2Basvg height="10.8625" id="M79" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>+ GTS,而另一个较弱的是迷失在最终的重建结果。</gydF4y2Bap> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig3"> <div class="floats-partial-content fig-content-fig3"> <div class="partial-carousel--single-image"> <img alt="" name="210428.fig.003" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.003.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图3</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/fig3/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <svg height="11.1" id="M80" style="vertical-align:-0.17555pt" version="1.1" viewbox="0 0 42.9375 11.1" width="42.9375" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,11.1)"> <g transform="translate(72,-63.12)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.7023277" y="0"> =</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="21.742718" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="27.994217" y="0"> 5</gydF4y2Batspan> </text> </g> </g> </svg> <svg height="10.8625" id="M81" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg> <svg height="10.8625" id="M82" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg> <table> 从左到右:横向的重建结果视图gydF4y2Ba毫米功率比为1:1、2:1,4:1,和8:1。从上到下:Tikhonov + GTS的最后结果,Tikhonov +伤害,+gydF4y2BaGTS,gydF4y2Ba分别+ MSDS。</gydF4y2Batable> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig4"> <div class="floats-partial-content fig-content-fig4"> <div class="partial-carousel--single-image"> <img alt="" name="210428.fig.004" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.004.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图4</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/fig4/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <svg height="10.8625" id="M83" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg> <svg height="14.9" id="M84" style="vertical-align:-3.2316pt" version="1.1" viewbox="0 0 89.400002 14.9" width="89.400002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.9)"> <g transform="translate(72,-60.08)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.683083" y="0"> 一个</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.234413" y="0"> x</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.737415" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.900913" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-7.91,60.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-4.69,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg> <svg height="10.8625" id="M85" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg> <table> 上面一行:正规化Tikhonov正则化(左)和解决方案gydF4y2Ba方法(右)。中间行:相应的最终的重建结果GTS的阈值gydF4y2Ba。底下一行:最终的重建结果Tikhonov + MSDS(左)和+gydF4y2BaMSDS(右)。</gydF4y2Batable> </div> </div> </div> <p>定量评估重建结果在不同的电源设置,我们总结位置不同的重建和重建国家的错误方案表<一个href="//www.newsama.com/journals/ijbi/2011/210428/tab2/" target="_blank">2</一个>,第二列表示的实际初始功率比<gydF4y2Basvg height="14.475" id="M86" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>来<gydF4y2Basvg height="14.475" id="M87" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>,<gydF4y2Basvg height="18.7875" id="M88" style="vertical-align:-4.15945pt;width:20.1px;" version="1.1" viewbox="0 0 20.1 18.7875" width="20.1" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.7875)"> <g transform="translate(72,-56.97)"> <text transform="matrix(1,0,0,-1,-71.95,61.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.95,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-0.87" y="9.2200003"> 1</gydF4y2Batspan> </text> </g> </g> </svg>和<gydF4y2Basvg height="18.7875" id="M89" style="vertical-align:-4.15945pt;width:20.1px;" version="1.1" viewbox="0 0 20.1 18.7875" width="20.1" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.7875)"> <g transform="translate(72,-56.97)"> <text transform="matrix(1,0,0,-1,-71.95,61.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.95,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-0.87" y="9.2200003"> 2</gydF4y2Batspan> </text> </g> </g> </svg>表示相应的重建。N / A表示,位置信息是不可用的。</gydF4y2Bap> <div class="floats-partial-section partial-other-wrapper" data-section="tab2"> <div class="floats-partial-content fig-content-tab2"> <table class="table-group" id="tab2"> <tbody> <tr> <td> <table class="table"> <tbody> <tr> <td class="thead-hr" colspan="9"> <hr></td> </tr> <tr> <td align="left" rowspan="2">情况下</gydF4y2Batd> <td align="center" rowspan="2">功率比</gydF4y2Batd> <td align="center" rowspan="2">重建方法</gydF4y2Batd> <td align="center" colspan="4">重建中心和位置误差(毫米)</gydF4y2Batd> <td align="center" colspan="2">重建的权力(西北)</gydF4y2Batd> </tr> <tr> <td align="center" colspan="2"><span style="width: 20.1px;"> <svg height="18.7875" id="M90" style="vertical-align:-4.15945pt" version="1.1" viewbox="0 0 20.1 18.7875" width="20.1" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.7875)"> <g transform="translate(72,-56.97)"> <text transform="matrix(1,0,0,-1,-71.95,61.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.95,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-0.87" y="9.2200003"> 1</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center" colspan="2"><span style="width: 20.1px;"> <svg height="18.7875" id="M91" style="vertical-align:-4.15945pt" version="1.1" viewbox="0 0 20.1 18.7875" width="20.1" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.7875)"> <g transform="translate(72,-56.97)"> <text transform="matrix(1,0,0,-1,-71.95,61.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.95,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-0.87" y="9.2200003"> 2</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 20.1px;"> <svg height="18.7875" id="M92" style="vertical-align:-4.15945pt" version="1.1" viewbox="0 0 20.1 18.7875" width="20.1" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.7875)"> <g transform="translate(72,-56.97)"> <text transform="matrix(1,0,0,-1,-71.95,61.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.95,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-0.87" y="9.2200003"> 1</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center"><span style="width: 20.1px;"> <svg height="18.7875" id="M93" style="vertical-align:-4.15945pt" version="1.1" viewbox="0 0 20.1 18.7875" width="20.1" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,18.7875)"> <g transform="translate(72,-56.97)"> <text transform="matrix(1,0,0,-1,-71.95,61.17)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-62.95,66.24)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="-0.87" y="9.2200003"> 2</gydF4y2Batspan> </text> </g> </g> </svg></span></td> </tr> <tr> <td align="center" colspan="9"> <hr></td> </tr> <tr> <td align="left" rowspan="4">我</gydF4y2Batd> <td align="center" rowspan="4">1:1</gydF4y2Batd> <td align="center">Tikhonov + GTS</gydF4y2Batd> <td align="center">−8.95,2.13,14.83</gydF4y2Batd> <td align="center">1.39</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M94" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.65</gydF4y2Batd> <td align="center">0.28</gydF4y2Batd> </tr> <tr> <td align="center">Tikhonov + MSDS</gydF4y2Batd> <td align="center">−8.85,3.59,15.14</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M95" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.35</gydF4y2Batd> <td align="center">0.28</gydF4y2Batd> </tr> <tr> <td align="center"><i>l</我>1-<我>l</gydF4y2Ba我>s + GTS</ggydF4y2BaydF4y2Batd> <td align="center">−8.99,2.92,14.77</gydF4y2Batd> <td align="center">0.62</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M96" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.502</gydF4y2Batd> <td align="center">0.44</gydF4y2Batd> </tr> <tr> <td align="center"><i>l</我>1-<我>l</gydF4y2Ba我>s + MSDS</ggydF4y2BaydF4y2Batd> <td align="center">−8.85,3.59,15.14</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M97" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.41</gydF4y2Batd> <td align="center">0.44</gydF4y2Batd> </tr> <tr> <td align="center" colspan="9"> <hr></td> </tr> <tr> <td align="left" rowspan="4">二世</gydF4y2Batd> <td align="center" rowspan="4">2:1</gydF4y2Batd> <td align="center">Tikhonov + GTS</gydF4y2Batd> <td align="center">−9.03,2.69,14.65</gydF4y2Batd> <td align="center">0.88</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M98" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.48</gydF4y2Batd> <td align="center">0.15</gydF4y2Batd> </tr> <tr> <td align="center">Tikhonov + MSDS</gydF4y2Batd> <td align="center">−8.85,3.59,15.14</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M99" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.37</gydF4y2Batd> <td align="center">0.14</gydF4y2Batd> </tr> <tr> <td align="center"><i>l</我>1-<我>l</gydF4y2Ba我>s + GTS</ggydF4y2BaydF4y2Batd> <td align="center">−8.98,2.98,14.81</gydF4y2Batd> <td align="center">0.56</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M100" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.51</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> </tr> <tr> <td align="center"><i>l</我>1-<我>l</gydF4y2Ba我>s + MSDS</ggydF4y2BaydF4y2Batd> <td align="center">−8.85,3.59,15.14</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M101" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.43</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> </tr> <tr> <td align="center" colspan="9"> <hr></td> </tr> <tr> <td align="left" rowspan="4">三世</gydF4y2Batd> <td align="center" rowspan="4">4:1</gydF4y2Batd> <td align="center">Tikhonov + GTS</gydF4y2Batd> <td align="center">−9.03,2.72,14.66</gydF4y2Batd> <td align="center">0.85</gydF4y2Batd> <td align="center">N /一个</gydF4y2Batd> <td align="center">N /一个</gydF4y2Batd> <td align="center">0.49</gydF4y2Batd> <td align="center">0</gydF4y2Batd> </tr> <tr> <td align="center">Tikhonov + MSDS</gydF4y2Batd> <td align="center">−8.85,3.59,15.14</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M102" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.38</gydF4y2Batd> <td align="center">0.07</gydF4y2Batd> </tr> <tr> <td align="center"><i>l</我>1-<我>l</gydF4y2Ba我>s + GTS</ggydF4y2BaydF4y2Batd> <td align="center">−8.97,3.00,14.82</gydF4y2Batd> <td align="center">0.53</gydF4y2Batd> <td align="center">N /一个</gydF4y2Batd> <td align="center">N /一个</gydF4y2Batd> <td align="center">0.51</gydF4y2Batd> <td align="center">0</gydF4y2Batd> </tr> <tr> <td align="center"><i>l</我>1-<我>l</gydF4y2Ba我>s + MSDS</ggydF4y2BaydF4y2Batd> <td align="center">−8.85,3.59,15.14</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> <td align="center">−−8.98,3.57,14.73</gydF4y2Batd> <td align="center">0.28</gydF4y2Batd> <td align="center">0.4339</gydF4y2Batd> <td align="center">0.10</gydF4y2Batd> </tr> <tr> <td align="center" colspan="9"> <hr></td> </tr> <tr> <td align="left" rowspan="4">四世</gydF4y2Batd> <td align="center" rowspan="4">8:1</gydF4y2Batd> <td align="center">Tikhonov + GTS</gydF4y2Batd> <td align="center">−9.03,2.73,14.67</gydF4y2Batd> <td align="center">0.84</gydF4y2Batd> <td align="center">N /一个</gydF4y2Batd> <td align="center">N /一个</gydF4y2Batd> <td align="center">0.49</gydF4y2Batd> <td align="center">0</gydF4y2Batd> </tr> <tr> <td align="center">Tikhonov + MSDS</gydF4y2Batd> <td align="center">−8.85,3.59,15.14</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M103" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.38</gydF4y2Batd> <td align="center">0.03</gydF4y2Batd> </tr> <tr> <td align="center"><i>l</我>1-<我>l</gydF4y2Ba我>s + GTS</ggydF4y2BaydF4y2Batd> <td align="center">−8.97,3.02,14.83</gydF4y2Batd> <td align="center">0.51</gydF4y2Batd> <td align="center">N /一个</gydF4y2Batd> <td align="center">N /一个</gydF4y2Batd> <td align="center">0.51</gydF4y2Batd> <td align="center">0</gydF4y2Batd> </tr> <tr> <td align="center"><i>l</我>1-<我>l</gydF4y2Ba我>s + MSDS</ggydF4y2BaydF4y2Batd> <td align="center">−8.85,3.59,15.14</gydF4y2Batd> <td align="center">0.22</gydF4y2Batd> <td align="center"><span style="width: 124.425px;"> <svg height="13.075" id="M104" style="vertical-align:-1.76814pt" version="1.1" viewbox="0 0 124.425 13.075" width="124.425" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.075)"> <g transform="translate(72,-61.54)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.941805" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.193304" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="30.444805" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.646053" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="44.210609" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="50.462109" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.587856" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="59.839359" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="66.090858" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="71.304611" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="77.556107" y="0"> 4</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="83.80761" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="86.933357" y="0"> 7</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="93.18486" y="0"> 3</gydF4y2Batspan> </text> </g> </g> </svg></span></td> <td align="center">0.28</gydF4y2Batd> <td align="center">0.43</gydF4y2Batd> <td align="center">0.04</gydF4y2Batd> </tr> <tr class="table-tr"> <td colspan="9"> <hr class="tbody-hr"></td> </tr> </tbody> </table></td> </tr> </tbody> </table> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">表2</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/tab2/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> 在双重来源情况下重建结果。</gydF4y2Badiv> </div> </div> <p>从表<一个href="//www.newsama.com/journals/ijbi/2011/210428/tab2/" target="_blank">2</一个>,这是见过<gydF4y2Basvg height="14.475" id="M105" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>-norm-based方法<gydF4y2Basvg height="10.8625" id="M106" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>通常执行比<gydF4y2Basvg height="14.475" id="M107" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>-norm-based Tikhonov重构权力和位置的方法。</gydF4y2Bap> <p>图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig4/" target="_blank">4</一个>说明了网格聚合过程的MSDS和比较最终的重建结果与GTS的MSDS (I)。我们可以观察到,有些较小的节点密度值附近的两个节点密度较大,如图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig4/" target="_blank">4</一个>(一)和<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig4/" target="_blank">4</一个>(b)。显然,保留所有的正规化的非零组件解决方案将招致一些工件在最后的重建图像,特别是<gydF4y2Basvg height="14.475" id="M108" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>标准的解决方案,Tikhonov正则化方法。结果在图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig4/" target="_blank">4</一个>(c)和<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig4/" target="_blank">4</一个>(d)表明,传统的GTS直接丢弃这些节点密度值低于给定的阈值在最后结果改善图像质量。通常情况下,更高的阈值是首选的文献中,因此一个阈值<gydF4y2Basvg height="14.9" id="M109" style="vertical-align:-3.2316pt;width:89.400002px;" version="1.1" viewbox="0 0 89.400002 14.9" width="89.400002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,14.9)"> <g transform="translate(72,-60.08)"> <text transform="matrix(1,0,0,-1,-71.95,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.2515001" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="9.3772497" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="15.62875" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="23.955748" y="0"> 米</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.683083" y="0"> 一个</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.234413" y="0"> x</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="51.737415" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.900913" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-7.91,60.22)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-4.69,63.35)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>是使用GTS的实验方法<一个href="#B16">16</一个>,<gydF4y2Ba一个href="#B29">29日</一个>]。因此,那些怀疑目标密度低于阈值将被忽略。与传统方法不同,该MSDS认为不仅密度值的节点还网状结构用于重建,因此它有能力删除pseudosources和保留弱怀疑来源在最终的重建结果,如图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig4/" target="_blank">4</一个>(e)-<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig4/" target="_blank">4</一个>(f)和<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig3/" target="_blank">3</一个>。</gydF4y2Bap> <h5 id="sec3.2">3.2。四个源重建</gydF4y2Bah5> <p>在第二个实验中,我们试图重建来源与合成生成的数据来源四个分散不同初始力量,这可能是肿瘤转移的一个常见的情况。具体来说,权力的设置是根据比8:4:2:1,最高功率密度是1西北/毫米<gydF4y2Basup>3</gydF4y2Basup>。图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig5/" target="_blank">5</一个>结果显示3 d视图Tikhonov正则化方法<gydF4y2Basvg height="10.8625" id="M110" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>方法,分别结合GTS和MSDS。前模拟全局阈值是一样的。很明显,传统的GTS方法很难检测多个源功率密度较低的在这样的实验设置,而该MSDS准确区分所有的来源。</gydF4y2Bap> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig5"> <div class="floats-partial-content fig-content-fig5"> <div class="partial-carousel--single-image"> <img alt="(一)”n一个米e=”210428。fig.005a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.005a.jpg"> <br> <strong>(一)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(b)”n一个米e=”210428。fig.005b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.005b.jpg"> <br> <strong>(b)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(c)”n一个米e=”210428。fig.005c" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.005c.jpg"> <br> <strong>(c)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(d)”n一个米e=”210428。fig.005d" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.005d.jpg"> <br> <strong>(d)</gydF4y2Bastrong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig5"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)”n一个米e=”210428。fig.005a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.005a.jpg"><br><strong>(一)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)”n一个米e=”210428。fig.005b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.005b.jpg"><br><strong>(b)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(c)"><img alt="(c)”n一个米e=”210428。fig.005c" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.005c.jpg"><br><strong>(c)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(d)"><img alt="(d)”n一个米e=”210428。fig.005d" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.005d.jpg"><br><strong>(d)</gydF4y2Bastrong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig5"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图5</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/fig5/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <svg height="10.8625" id="M111" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg> <svg height="10.8625" id="M112" style="vertical-align:-0.13794pt" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg> <table> 3 d视图的重建结果与合成生成的数据来源四个分散不同的权力。(一)——(d)是Tikhonov + GTS的结果,+gydF4y2BaGTS, Tikhonov + MSDS,gydF4y2Ba分别+ MSDS。</gydF4y2Batable> </div> </div> </div> <h5 id="sec3.3">3.3。有限元网格的影响</gydF4y2Bah5> <p>针对提出的多个源重建方法利用底层网状结构信息,需要评估的影响不同的有限元离散化方法。因此,我们进行了一系列的双重来源实验在不同的离散化水平。结果在图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig6/" target="_blank">6</一个>(节点的数量在重建域表示不同的离散化水平或网格大小)显示有限元网格重建的影响。为Tikhonov正则化方法结合MSDS,位置误差略有增加后减少的增加网格大小和重建能力呈现出相似的变化趋势。至于<gydF4y2Basvg height="10.8625" id="M113" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>结合MSDS,位置误差和重构权力与网格变化略有不同。</gydF4y2Bap> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig6"> <div class="floats-partial-content fig-content-fig6"> <div class="partial-carousel--single-image"> <img alt="(一)”n一个米e=”210428。fig.006a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.006a.jpg"> <br> <strong>(一)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(b)”n一个米e=”210428。fig.006b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.006b.jpg"> <br> <strong>(b)</gydF4y2Bastrong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig6"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)”n一个米e=”210428。fig.006a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.006a.jpg"><br><strong>(一)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)”n一个米e=”210428。fig.006b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.006b.jpg"><br><strong>(b)</gydF4y2Bastrong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig6"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图6</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/fig6/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> (一)位置误差在不同网格的水平。(b)重建的权力在不同网格的水平。</gydF4y2Batable> </div> </div> </div> <p>一般来说,有限元离散化并影响重建结果的位置误差和重建能力随网格的变化。然而,对于所有的离散化水平考虑,该方法能够准确定位和量化光源分布。这些结果证明提出的重建的鲁棒性与网格离散化框架。</gydF4y2Bap> <h4 id="phantom-study">4所示。幽灵的研究</gydF4y2Bah4> <p>我们进一步证明该重建算法的有效性与幻影实验。这组BLT实验用二重形式BLT / ct机系统(<一个href="#B17">17</一个>,<gydF4y2Ba一个href="#B30">30.</一个>]。backthinned, backilluminated冷却CCD相机是用来测量信号幻影表面上从四个方向90度的间隔。</gydF4y2Bap> <p>异构鼠标胸部幻影30毫米高度和15毫米直径由四部分组成,代表肌肉,肺,心脏,和骨骼,分别<一个href="#B30">30.</一个>]。不同器官的光学特性表中列出<一个href="//www.newsama.com/journals/ijbi/2011/210428/tab1/" target="_blank">1</一个>。两个直径2毫米的小洞钻在《幽灵将玻璃毛细管内径1毫米。发光方案提取高2毫米的红色发光光棒(发光产品,加拿大),然后注入玻璃毛细管作为一个测试源。生成的发光灯有一个发射峰波长约为650纳米。真正的中心位置的两个测试资源(<gydF4y2Basvg height="13.0125" id="M114" style="vertical-align:-1.76814pt;width:66.837502px;" version="1.1" viewbox="0 0 66.837502 13.0125" width="66.837502" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.0125)"> <g transform="translate(72,-61.59)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.017303" y="0"> 2</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="26.268803" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="31.482553" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="37.734055" y="0"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="43.985554" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.111305" y="0"> 6</gydF4y2Batspan> </text> </g> </g> </svg>)和(<gydF4y2Basvg height="13.0125" id="M115" style="vertical-align:-1.76814pt;width:77.537498px;" version="1.1" viewbox="0 0 77.537498 13.0125" width="77.537498" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,13.0125)"> <g transform="translate(72,-61.59)"> <text transform="matrix(1,0,0,-1,-71.95,63.4)"> <tspan style="font-size: 12.50px; " x="0" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="8.5645552" y="0"> 9</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="14.816055" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.017303" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.581858" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="34.833359" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="40.047108" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="46.298611" y="0"> 6</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="52.55011" y="0"> 。</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="55.675858" y="0"> 6</gydF4y2Batspan> </text> </g> </g> </svg>)。</gydF4y2Bap> <p>众所周知,光发光强度随着时间的推移而减小。我们收集了100灰度图像的来源,是由CCD摄像机拍摄的每一分钟。图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig7/" target="_blank">7</一个>显示了安装衰变曲线的光密度。根据衰减曲线,我们可以获得不同强度来源通过控制发光的注射时间的解决方案。三组实验,源强度的比率<gydF4y2Basvg height="14.475" id="M116" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>的<gydF4y2Basvg height="14.475" id="M117" style="vertical-align:-3.13504pt;width:16.375px;" version="1.1" viewbox="0 0 16.375 14.475" width="16.375" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.82,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>1:1、2:1,4:1,分别。数据<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig8/" target="_blank">8(一个)</一个>- - - - - -<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig8/" target="_blank">8 (c)</一个>显示相应的前视图CCD测量数据在不同强度设置。随后,容许来源地区大致确定表面磁通密度分布,即表示为<gydF4y2Basvg height="16.9375" id="M118" style="vertical-align:-2.37006pt;width:293.3125px;" version="1.1" viewbox="0 0 293.3125 16.9375" width="293.3125" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.9375)"> <g transform="translate(72,-58.45)"> <text transform="matrix(1,0,0,-1,-71.95,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> {</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="6.00144" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.164939" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="17.04159" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="22.242838" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="28.444324" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="33.658077" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="39.897072" y="0"> )</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.536407" y="0"> ∣</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="54.325535" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="64.052872" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="76.093262" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="80.25676" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,15.19,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,22.84,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> +</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="11.340221" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,40.39,65.87)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,45.26,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> )</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,49.42,66.03)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="4.3759999" y="0"> /</gydF4y2Batspan> <tspan style="font-size: 8.75px; " x="6.8090558" y="0"> 2</gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,64.58,60.86)"> <tspan style="font-size: 12.50px; " x="0" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="12.027886" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="18.279387" y="0"> 3</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.530886" y="0"> ,</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="29.744637" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.996136" y="0"> 5</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="45.723473" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="57.763859" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="67.466187" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="79.506577" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="85.75808" y="0"> 8</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="92.009575" y="0"> }</gydF4y2Batspan> </text> </g> </g> </svg>。</gydF4y2Bap> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig7"> <div class="floats-partial-content fig-content-fig7"> <div class="partial-carousel--single-image"> <img alt="" name="210428.fig.007" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.007.jpg"> <br> <strong></strong> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图7</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/fig7/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 衰变曲线的光密度。</gydF4y2Batable> </div> </div> </div> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig8"> <div class="floats-partial-content fig-content-fig8"> <div class="partial-carousel--single-image"> <img alt="(一)”n一个米e=”210428。fig.008a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.008a.jpg"> <br> <strong>(一)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(b)”n一个米e=”210428。fig.008b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.008b.jpg"> <br> <strong>(b)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(c)”n一个米e=”210428。fig.008c" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.008c.jpg"> <br> <strong>(c)</gydF4y2Bastrong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig8"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)”n一个米e=”210428。fig.008a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.008a.jpg"><br><strong>(一)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)”n一个米e=”210428。fig.008b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.008b.jpg"><br><strong>(b)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(c)"><img alt="(c)”n一个米e=”210428。fig.008c" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.008c.jpg"><br><strong>(c)</gydF4y2Bastrong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig8"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图8</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/fig8/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> (一)——(c)前面的观点由CCD测量的情况下强度比率1:1,2:1,4:1。</gydF4y2Batable> </div> </div> </div> <p>幻影模型离散成4202个节点和21721个四面体。映射后收集到的光学三维幻表面数据,我们进行了4轮与Tikhonov + GTS的重建,<gydF4y2Basvg height="10.8625" id="M119" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>+ GTS, Tikhonov + MSDS,<gydF4y2Basvg height="10.8625" id="M120" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>+ MSDS不同源强度下设置。规范化Tikhonov正则化方法的重建结果相似<gydF4y2Basvg height="10.8625" id="M121" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>。避免冗长的描述,图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig9/" target="_blank">9</一个>只给出了比较结果之间Tikhonov + GTS和Tikhonov + MSDS。</gydF4y2Bap> <div class="floats-partial-section partial-carousel-wrapper" data-section="fig9"> <div class="floats-partial-content fig-content-fig9"> <div class="partial-carousel--single-image"> <img alt="(一)”n一个米e=”210428。fig.009a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009a.jpg"> <br> <strong>(一)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(b)”n一个米e=”210428。fig.009b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009b.jpg"> <br> <strong>(b)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(c)”n一个米e=”210428。fig.009c" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009c.jpg"> <br> <strong>(c)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(d)”n一个米e=”210428。fig.009d" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009d.jpg"> <br> <strong>(d)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(e)”n一个米e=”210428。fig.009e" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009e.jpg"> <br> <strong>(e)</gydF4y2Bastrong> </div> <div class="partial-carousel--single-image"> <img alt="(f)”n一个米e=”210428。fig.009f" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009f.jpg"> <br> <strong>(f)</gydF4y2Bastrong> </div> </div> <div class="floats-partial-middle"> <div class="floats-partial-middle--thumbs fig-thumbs-fig9"> <button class="partial-carousel-dot" aria-label="(a)"><img alt="(一)”n一个米e=”210428。fig.009a" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009a.jpg"><br><strong>(一)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(b)"><img alt="(b)”n一个米e=”210428。fig.009b" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009b.jpg"><br><strong>(b)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(c)"><img alt="(c)”n一个米e=”210428。fig.009c" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009c.jpg"><br><strong>(c)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(d)"><img alt="(d)”n一个米e=”210428。fig.009d" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009d.jpg"><br><strong>(d)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(e)"><img alt="(e)”n一个米e=”210428。fig.009e" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009e.jpg"><br><strong>(e)</gydF4y2Bastrong></button> <button class="partial-carousel-dot" aria-label="(f)"><img alt="(f)”n一个米e=”210428。fig.009f" src="https://static-01.hindawi.com/articles/ijbi/volume-2011/210428/figures/210428.fig.009f.jpg"><br><strong>(f)</gydF4y2Bastrong></button> </div> <div class="partial-carousel-next-prev fig-nav-fig9"> <button class="carousel-prev" aria-label="Previous"></button> <button class="carousel-next" aria-label="Next"></button> </div> </div> <div class="floats-partial-footer"> <div class="floats-partial-caption"> <span class="caption-text">图9</gydF4y2Baspan> <a aria-label="full view" class="caption-partial-url" href="//www.newsama.com/journals/ijbi/2011/210428/fig9/" title="" target="_blank"></a> </div> <div class="floats-partial-caption-text"> <table> 规范化的重建结果幻影实验。(一)——(c)的结果Tikhonov + GTS的功率比1:1,2:1,4:1。(d) - (e) Tikhonov + MSDS的相应结果。</gydF4y2Batable> </div> </div> </div> <p>对于所有的测试用例考虑幻影实验,Tikhonov + MSDS和<gydF4y2Basvg height="10.8625" id="M122" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>+数据可以准确检测两个来源,最大定位误差是1.7毫米。即使是真正的强度比的情况下4:1,重建源强度比率是3.12:1和2.97:1。拟议的方法形成了鲜明的对比,传统的全局阈值方法未能重建弱的两个来源,如图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig9/" target="_blank">9 (c)</一个>。相比之下,使用GTS的结果(图的上面一行<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig9/" target="_blank">9</一个>),该MSDS方法在重建图像中产生更少的工件(底部排图<一个href="//www.newsama.com/journals/ijbi/2011/210428/fig9/" target="_blank">9</一个>)。</gydF4y2Bap> <h4 id="discussions-and-conclusion">5。讨论和结论</gydF4y2Bah4> <p>准确地重建和识别几个来源问题BLT不同的强度是一个挑战,也是一个重要的能力连续观察治疗的疾病进展或响应同一种动物。在这项工作中,我们提出一个统一的框架,通过集成多个源重建小说多个源检测策略regularization-based重建进程。这个正则化框架的有效性进行了验证与数值模拟进一步证实了幻影实验。</gydF4y2Bap> <p>这个框架的好处是双重的。首先,没有必要<我>之前的</我>知识对于源数量,自动从迭代重建结果估计。第二,正则化框架一般,因为它可以处理不同regularizers和逆算法。拟议中的化学物质也可以很容易地应用于其他有限单元重建计划来提高最终的重建结果或图像质量。</gydF4y2Bap> <p>该方法有很多局限性。实验结果表明,sparseness-inducing正则化方法(<gydF4y2Basvg height="10.8625" id="M123" style="vertical-align:-0.13794pt;width:37.200001px;" version="1.1" viewbox="0 0 37.200001 10.8625" width="37.200001" 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"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="3.9759541" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="10.915119" y="0"> −</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="20.179842" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="24.155796" y="0"> </gydF4y2Batspan> </text> </g> </g> </svg>)执行比<gydF4y2Basvg height="14.475" id="M124" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 2</gydF4y2Batspan> </text> </g> </g> </svg>标准方法(Tikhonov)。这主要是因为<gydF4y2Basvg height="14.475" id="M125" style="vertical-align:-3.13504pt;width:11.1875px;" version="1.1" viewbox="0 0 11.1875 14.475" width="11.1875" 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"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.47)"> <tspan style="font-size: 8.75px; " x="0" y="0"> 1</gydF4y2Batspan> </text> </g> </g> </svg>规范的解决方案符合生物荧光源分布的稀疏性质在这些应用程序。因此,如何选择适当的调整和逆算法特定BLT应用程序使用这个框架时是非常重要的。</gydF4y2Bap> <p>此外,还可以使用其他regularizers在这个统一的框架。事实上,<gydF4y2Basvg height="16.6" id="M126" style="vertical-align:-4.74141pt;width:83.525002px;" version="1.1" viewbox="0 0 83.525002 16.6" width="83.525002" xmlns="http://www.w3.org/2000/svg"> <g transform="matrix(1.25,0,0,-1.25,0,16.6)"> <g transform="translate(72,-58.72)"> <text transform="matrix(1,0,0,-1,-71.95,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-67.97,60.37)"> <tspan style="font-size: 8.75px; " x="0" y="0"> </gydF4y2Batspan> </text> <text transform="matrix(1,0,0,-1,-63.2,63.5)"> <tspan style="font-size: 12.50px; " x="0" y="0"> (</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="4.1634989" y="0"> 0</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="13.890833" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="25.918718" y="0"> </gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="35.508518" y="0"> <</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="47.548908" y="0"> 1</gydF4y2Batspan> <tspan style="font-size: 12.50px; " x="53.800407" y="0"> )</gydF4y2Batspan> </text> </g> </g> </svg>规范正则化重建已经尝试复苏的信号弱稀疏在其他图像处理领域<一个href="#B31">31日</一个>]。到目前为止,在BLT相关研究尚未报道。基于正则化框架,提出未来研究将研究其他形式的规范的有效性对BLT的不适定反问题。</gydF4y2Bap> <p>尽管只有DA模型被认为是为了简单起见,该BLT重建框架没有限制模型。我们的框架的性能可能会提高使用更精确的模型,这也是我们进一步工作的方向。</gydF4y2Bap> <h4 id="acknowledgments">确认</gydF4y2Bah4> <p>作者要感谢生命科学研究中心在西安电子科技大学生命科学与技术学院提供实验设施。这项工作是支持部分由中国国家自然科学基金(61173090号,61072108,61072106,60971112,60971128,60970067,60970066,和60972148),北京市自然科学基金(7092020),该基金对外国学者在大学(没有研究和教学项目。B07048)、陕西省自然科学基金研究项目资助下不。2011 jq1006和2011 jq8029,陕西师范大学青年基金批准号下200901015,中央大学和基础研究基金(JY10000902001, K50510020001, JY10000902045)。</gydF4y2Bap> </div> <div class="xml-content"> <h4 class="references" id="references">引用</gydF4y2Bah4> <ol> <li id="B1">和c·h·r . s . 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Wang&publication_year=2011" target="_blank">谷歌学术搜索</一个></span></li> </ol> </div> <div class="xml-content"> <h4 class="copyright" id="copyright">版权</gydF4y2Bah4> <p>版权©2011晶晶玉等。这是一个开放的分布式下文章<一个rel=”l我cense" 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。</gydF4y2Bap> </div> </div> </article> </div> </div> </div> <div class="biblio__Wrapper-sc-1nou1lz-0 eyHfWh journal_article__BiblioIntegratorWidget-sc-12fk6zy-5 dbAANp article_widget biblioWrapper hide"> <hr> <h4 class="biblio__H4-sc-1nou1lz-2 kgAKHb hrTitleRef">更多相关文章</gydF4y2Bah4> <div id="biblio_widget" class="biblio__BiblioWrapper-sc-1nou1lz-1 dDdJpQ"></div> </div> </div> </div> <div class="threeColumn__RightWrapper-sc-1bf4078-2 jzTMLK rightWrapper" id="rightSectionMenu"> <div> <div class="journal_article__ArticleStickyTopToolbar-sc-12fk6zy-0 gbrQxi article_sticky_top_toolbar"> <div class="sc-eTpRJs DEpmD article_top_toolbar"> <div class="sc-dxZgTM bNaYih article_toolbar_views"> 889年<gydF4y2Ba!-- --> 的观点<gydF4y2Ba!-- -->|<gydF4y2Ba!-- --> 4382年<gydF4y2Ba!-- --> 下载<gydF4y2Ba!-- --> |<gydF4y2Ba!-- -->5<gydF4y2Ba!-- --> 引用</gydF4y2Badiv> <a class="sc-htpNat bUhGXt link sc-bnXvFD hgeknQ sc-iomxrj fOYLEe pdf_desktop button__group" href="//www.newsama.com/downloads/journals/ijbi/2011/210428.pdf" aria-label="" target="_blank" id="toolbar__dcNavSmall"><span><img alt="" class="sc-EHOje jOLhQl sc-gFaPwZ fzHUvS" title="" role="presentation" src="https://static-01.hindawi.com/next_assets/dMW3d4HZTf9_66ywKW4Jh/_next/static/node_modules/hindawi-ui/src/icon/svg/pdf.svg" height="24"><span class="text">PDF</gydF4y2Baspan></span><span class="sc-htoDjs bqeMOy sc-fhYwyz iBoHeM fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> <a class="sc-htpNat bUhGXt link sc-bnXvFD hgeknQ sc-dvCyap hTIXhE ref_desktop" href="//www.newsama.com/journals/ijbi/2011/210428.ris" aria-label="" target="" id="toolbar__dcNavLarge"><span><img alt="" class="sc-EHOje jOLhQl sc-gFaPwZ fzHUvS" title="" role="presentation" src="data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHhtbG5zOnhsaW5rPSJodHRwOi8vd3d3LnczLm9yZy8xOTk5L3hsaW5rIiB3aWR0aD0iMTgiIGhlaWdodD0iMjIiIHZpZXdCb3g9IjAgMCAxOCAyMiI+PGRlZnM+PGNsaXBQYXRoIGlkPSJhIj48cGF0aCBkPSJNMywyMmEzLDMsMCwwLDEtMy0zVjNBMywzLDAsMCwxLDMsMGg4YS45OTEuOTkxLDAsMCwxLC41NzMuMTgxbDAsMCwuMDA4LjAwNmEuOTU1Ljk1NSwwLDAsMSwuMTIyLjFsNiw2YTEuMDI1LDEuMDI1LDAsMCwxLC4xLjEyMmwuMDA2LjAxLDAsMEExLDEsMCwwLDEsMTgsNi45NzVWMTlhMywzLDAsMCwxLTMsM1pNMiwzVjE5YTEsMSwwLDAsMCwxLDFIMTVhMSwxLDAsMCwwLDEtMVY4SDExYTEsMSwwLDAsMS0xLTFWMkgzQTEsMSwwLDAsMCwyLDNaTTEyLDZoMi41ODdMMTIsMy40MTRaTTUsMTdhMSwxLDAsMSwxLDAtMmg4YTEsMSwwLDEsMSwwLDJabTAtNGExLDEsMCwxLDEsMC0yaDhhMSwxLDAsMSwxLDAsMlpNNSw5QTEsMSwwLDEsMSw1LDdIN0ExLDEsMCwwLDEsNyw5WiIgdHJhbnNmb3JtPSJ0cmFuc2xhdGUoMyAxKSIvPjwvY2xpcFBhdGg+PC9kZWZzPjxnIHRyYW5zZm9ybT0idHJhbnNsYXRlKC0zIC0xKSI+PHBhdGggZD0iTTMsMjJhMywzLDAsMCwxLTMtM1YzQTMsMywwLDAsMSwzLDBoOGEuOTkxLjk5MSwwLDAsMSwuNTczLjE4MWwwLDAsLjAwOC4wMDZhLjk1NS45NTUsMCwwLDEsLjEyMi4xbDYsNmExLjAyNSwxLjAyNSwwLDAsMSwuMS4xMjJsLjAwNi4wMSwwLDBBMSwxLDAsMCwxLDE4LDYuOTc1VjE5YTMsMywwLDAsMS0zLDNaTTIsM1YxOWExLDEsMCwwLDAsMSwxSDE1YTEsMSwwLDAsMCwxLTFWOEgxMWExLDEsMCwwLDEtMS0xVjJIM0ExLDEsMCwwLDAsMiwzWk0xMiw2aDIuNTg3TDEyLDMuNDE0Wk01LDE3YTEsMSwwLDEsMSwwLTJoOGExLDEsMCwxLDEsMCwyWm0wLTRhMSwxLDAsMSwxLDAtMmg4YTEsMSwwLDEsMSwwLDJaTTUsOUExLDEsMCwxLDEsNSw3SDdBMSwxLDAsMCwxLDcsOVoiIHRyYW5zZm9ybT0idHJhbnNsYXRlKDMgMSkiLz48ZyBjbGlwLXBhdGg9InVybCgjYSkiPjxyZWN0IHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCIgZmlsbD0icmdiYSgwLDAsMCwwKSIvPjxyZWN0IHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCIvPjwvZz48L2c+PC9zdmc+" height="24"><span class="text">下载引用</gydF4y2Baspan></span><span class="sc-htoDjs bqeMOy sc-fhYwyz iBoHeM fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> <a class="sc-htpNat bUhGXt link sc-bnXvFD hgeknQ sc-iFMziU bGHCWJ ref_desktop" href="//www.newsama.com/journals/ijbi/2011/210428.ris" aria-label="" target="" id="toolbar__dcNavSmall"><span><img alt="" class="sc-EHOje jOLhQl sc-gFaPwZ fzHUvS" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="text">引用</gydF4y2Baspan></span><span class="sc-htoDjs bqeMOy sc-fhYwyz iBoHeM fileArrow icon-colored _3P4iUn1NDM5G77nWCamJ4l icon-themeable" title="" font-size="20"></span></a> </div> </div> <div class="journal_article__ArticleStickyBottomToolbar-sc-12fk6zy-1 isgRZA article_sticky_bottom_toolbar"> <div class="sc-cBdUnI dwpJFe article_bottom_toolbar"> <div class="sc-exkUMo lkBlhM accordion" property="background-color" color="#D8D8D8" id="toolbar__dofNav"> <span><img alt="" class="sc-EHOje jOLhQl sc-cqpYsc kDQNGn" title="" role="presentation" src="data:image/svg+xml;base64,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" height="24"><span class="sc-dyGzUR jTZjyd">下载其他格式</gydF4y2Baspan><span class="sc-drKuOJ fgdSqC">更多的</gydF4y2Baspan></span> <span class="sc-htoDjs bMdQcY sc-hBbWxd eeglal icon-colored _1CwL9R82TPl2HxDleeYGDR icon-themeable" title="" font-size="11"></span> </div> <div class="sc-kcDeIU lkBwlY"> <a class="sc-htpNat bUhGXt link sc-BngTV jWvDXH open_panel" href="//www.newsama.com/downloads/journals/ijbi/2011/210428.epub" aria-label="ePub" property="background-color" color="#D8D8D8"> <div class="sc-bFADNz dBLFTk"> ePub</gydF4y2Badiv><img alt="" class="sc-EHOje jOLhQl sc-cqpYsc kDQNGn" title="" role="presentation" 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