Enhanced spatial resolution in fluorescence molecular tomography using restarted L1-regularized nonlinear conjugate gradient algorithm
Enhanced spatial resolution in fluorescence molecular tomography using restarted L1-regularized nonlinear conjugate gradient algorithm
复制标题
使用重新启动的 L1 正则化非线性共轭梯度算法增强荧光分子断层扫描的空间分辨率
DOI：
10.1117/1.jbo.19.4.046018
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发表时间：
2014-04
影响因子：
3.5
通讯作者：
Jing Bai
中科院分区：
文献类型：
--
作者：
Fei Liu;Guanglei Zhang;Jianwen Luo;Jing Bai
抽象。由于光在组织中的高度散射，荧光分子层析成像（FMT）逆问题的不适定性导致重建结果的空间分辨率较低。与L2正则化不同，L1正则化可以有效地保留细节并降低噪声。重建是通过一个重新启动的L1正则化的非线性共轭梯度（re-L1-NCG）算法，已被证明是能够提高计算速度，低内存消耗。该算法由内迭代和外迭代组成。在内迭代中，使用L1-NCG来获得L1-正则化结果。在外层迭代中，采用重新开始策略提高L1-NCG的收敛速度。为了证明re-L1-NCG在空间分辨率方面的性能，进行了具有位于不同边缘到边缘距离的荧光靶的模拟和物理体模研究。重建结果表明，re-L1-NCG算法能够分辨出边缘距离为0.1 cm、深度为1.5 cm的目标，是FMT算法的一个显著改进。
Abstract. Owing to the high degree of scattering of light through tissues, the ill-posedness of fluorescence molecular tomography (FMT) inverse problem causes relatively low spatial resolution in the reconstruction results. Unlike L2 regularization, L1 regularization can preserve the details and reduce the noise effectively. Reconstruction is obtained through a restarted L1 regularization-based nonlinear conjugate gradient (re-L1-NCG) algorithm, which has been proven to be able to increase the computational speed with low memory consumption. The algorithm consists of inner and outer iterations. In the inner iteration, L1-NCG is used to obtain the L1-regularized results. In the outer iteration, the restarted strategy is used to increase the convergence speed of L1-NCG. To demonstrate the performance of re-L1-NCG in terms of spatial resolution, simulation and physical phantom studies with fluorescent targets located with different edge-to-edge distances were carried out. The reconstruction results show that the re-L1-NCG algorithm has the ability to resolve targets with an edge-to-edge distance of 0.1 cm at a depth of 1.5 cm, which is a significant improvement for FMT.
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