Sparse Reconstruction for Quantitative Bioluminescence Tomography Based on the Incomplete Variables Truncated Conjugate Gradient Method References and Links
Sparse Reconstruction for Quantitative Bioluminescence Tomography Based on the Incomplete Variables Truncated Conjugate Gradient Method References and Links
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通讯作者：
Xiaowei He;Jimin Liang;Xiaorui Wang;Jingjing Yu;X. Qu;Xiaodong Wang;Y. Hou;Duofang Chen;
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作者：
Xiaowei He;Jimin Liang;Xiaorui Wang;Jingjing Yu;X. Qu;Xiaodong Wang;Y. Hou;Duofang Chen;
本文提出了一种求解生物发光层析成像（BLT）的不完全变量截断共轭梯度（IVTCG）方法。考虑到BLT场景中光源的稀疏特性和表面测量的不足，我们将联合收割机稀疏诱导（1范数）正则化项与基于IVTCG的框架中的二次误差项相结合来求解逆问题。通过限制每次迭代时更新的变量的数量，并结合变量分裂策略以更有效地找到搜索方向，即使没有允许的源区域和多光谱测量的先验信息，也可以获得快速和稳定的源重建。在一个小鼠图谱上的数值实验验证了该方法的有效性。在小鼠体内的实验结果进一步表明其潜在的实用BLT系统。看和听光：全身光子成像的演变，“国家在基因表达的体内生物发光成像的进展，”Annu。“用于小动物成像的高光谱和多光谱生物发光光学层析成像“，物理医学，使用互易性方法的光谱分辨生物发光层析成像，“医学，用于完全3D多光谱生物发光层析成像的快速迭代图像重建方法“，物理医学，具有用于生物发光层析成像逆问题的实用截断参数选择方案的截断总最小二乘法，“Int. A multilevel adaptive finite element algorithm for bioluminescence tomography，“Opt. An optimal permissible source region strategy for multispectrum bioluminescence tomography，“Opt. A multiphase level set framework for source reconstruction in bioluminescence tomography，“J. Algorithms for bioluminescence tomography incorporating anatomical information and reconstruction of tissue optical properties，“J. Source reconstruction for spectrally-resolved bioluminescence tomography with sparse a priori information，“Opt. Multilevel bioluminescence tomography based on radiation transfer equation Part 1：l1正则化，“使用多级自适应有限元方法的生物发光断层摄影的基于稀疏正则化的重建，“Int. J. The inverse source problem based on the radiation transfer equation in optical molecular imaging，“J. Quantitative bioluminescence tomography guided by diffuse optical tomography，“Opt.散射介质中光传播的有限元方法：边界和源条件“，Med.稀疏重建的梯度投影：应用于压缩传感和其他逆问题，IEEE J. Select，“IEEE J. Systems via Trust Region and the Conjugate Gradient Methods，“SIAM J.不完全变量截断共轭梯度法用于压缩感知中的信号重构“，正在编写中。Digimouse：来自CT和冷冻切片的3D全身小鼠图谱
In this paper, we present an incomplete variables truncated conjugate gradient (IVTCG) method for bioluminescence tomography (BLT). Considering the sparse characteristic of the light source and insufficient surface measurement in the BLT scenarios, we combine a sparseness-inducing ( 1 norm) regularization term with a quadratic error term in the IVTCG-based framework for solving the inverse problem. By limiting the number of variables updated at each iterative and combining a variable splitting strategy to find the search direction more efficiently, it obtains fast and stable source reconstruction, even without a priori information of the permissible source region and multispectral measurements. Numerical experiments on a mouse atlas validate the effectiveness of the method. In vivo mouse experimental results further indicate its potential for a practical BLT system. Looking and listening to light: the evolution of whole-body photonic imaging, " Nat. Advances in in vivo bioluminescence imaging of gene expression, " Annu. " Hyperspectral and multispectral bioluminescence optical tomography for small animal imaging, " Phys. Med. Spectrally resolved bioluminescence tomography using the reciprocity approach, " Med. Fast iterative image reconstruction methods for fully 3D multispectral bioluminescence tomography, " Phys. Truncated total least squares method with a practical truncation parameter choice scheme for bioluminescence tomography inverse problem, " Int. A multilevel adaptive finite element algorithm for bioluminescence tomography, " Opt. An optimal permissible source region strategy for multispectral bioluminescence tomography, " Opt. A multi-phase level set framework for source reconstruction in bioluminescence tomography, " J. Algorithms for bioluminescence tomography incorporating anatomical information and reconstruction of tissue optical properties, " J. Source reconstruction for spectrally-resolved bioluminescence tomography with sparse a priori information, " Opt. Multilevel bioluminescence tomography based on radiative transfer equation Part 1: l1 regularization, " Opt. Sparse regularization-based reconstruction for bioluminescence tomography using a multilevel adaptive finite element method, " Int. J. The inverse source problem based on the radiative transfer equation in optical molecular imaging, " J. Quantitative bioluminescence tomography guided by diffuse optical tomography, " Opt. The finite element method for the propagation of light in scattering media: boundary and source conditions, " Med. Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems, IEEE J. Select, " IEEE J. systems via trust region and the conjugate gradient methods, " SIAM J. Incomplete variables truncated conjugate gradient method for signal reconstruction in compressed sensing, " in preparation. Digimouse: a 3D whole body mouse atlas from CT and cryosection …