Effective and robust approach for fluorescence molecular tomography based on CoSaMP and SP3 model
Effective and robust approach for fluorescence molecular tomography based on CoSaMP and SP3 model
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基于 CoSaMP 和 SP3 模型的有效且稳健的荧光分子断层扫描方法
DOI：
10.1142/s1793545816500243
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发表时间：
2016-08
影响因子：
2.5
通讯作者：
Yuqing Hou
中科院分区：
文献类型：
--
作者：
Xiaowei He;Hongbo Guo;Jingjing Yu;Xu Zhang;Yuqing Hou
荧光分子层析成像技术（FMT）可以对小动物体内的各种生物过程进行检测和定量，从而拓展了临床前研究和药物开发的视野。高效的三维重建算法是FMT中荧光靶精确定位和定量的关键。本文将FMT三维重建视为一个稀疏信号恢复问题，采用压缩采样匹配追踪（CoSaMP）算法对荧光信号进行贪婪恢复。此外，为了减小建模误差，利用辐射传递方程（RTE）的简化球谐近似，特别是SP3，来描述光在生物组织中的传播。通过对三维数字小鼠模型的仿真，将该方法与正交匹配追踪（OMP）、分段匹配追踪（StOMP）和正则化匹配追踪（ROMP）三种具有代表性的贪心方法进行比较，全面评价了该方法的性能。CoSaMP与SP3相结合，在多目标分辨力方面具有明显的优势。稳定性分析表明，CoSaMP对噪声具有较强的鲁棒性，且随测量量的减少而稳定运行。仿真实验数据进一步验证了该方法的可行性和重构精度。
Fluorescence molecular tomography (FMT) allows the detection and quantification of various biological processes in small animals in vivo, which expands the horizons of pre-clinical research and drug development. Efficient three-dimensional (3D) reconstruction algorithm is the key to accurate localization and quantification of fluorescent target in FMT. In this paper, 3D reconstruction of FMT is regarded as a sparse signal recovery problem and the compressive sampling matching pursuit (CoSaMP) algorithm is adopted to obtain greedy recovery of fluorescent signals. Moreover, to reduce the modeling error, the simplified spherical harmonics approximation to the radiative transfer equation (RTE), more specifically SP3, is utilized to describe light propagation in biological tissues. The performance of the proposed reconstruction method is thoroughly evaluated by simulations on a 3D digital mouse model by comparing it with three representative greedy methods including orthogonal matching pursuit (OMP), stagewise OMP(StOMP), and regularized OMP (ROMP). The CoSaMP combined with SP3 shows an improvement in reconstruction accuracy and exhibits distinct advantages over the comparative algorithms in multiple targets resolving. Stability analysis suggests that CoSaMP is robust to noise and performs stably with reduction of measurements. The feasibility and reconstruction accuracy of the proposed method are further validated by phantom experimental data.
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