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A Heuristic Superiorization-Like Approach to Bioluminescence Tomography

机译:一种启发式的类似生物发光层析成像的方法

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Bioluminescence tomography (BLT) is a powerful molecular imaging technology designed for the localization and quantification of bioluminescent sources in vivo. With the forward process modeled by the diffusion approximation equation, BLT is the inverse problem to reconstruct the distribution of internal bioluminescent sources subject to Cauchy data. Due to the non-uniqueness of BLT in general, adequate prior information such as nonnegativity and source support constraints must be utilized to obtain a physically favorable BLT solution. Iterative algorithms such as the well-known Expectation Maximization (EM) algorithm and the Landweber algorithm which are suitable for incorporating these knowledge-based constraints are widely used in practice. In the current work, we investigate the application of a superiorization-like approach to BLT. A superiorization-like version of prototypical iterative algorithms for BLT in a general framework, denoted by S-BLT, is presented. For the EM algorithm as the underlying iterative algorithms for BLT and S-BLT, superiorized by the total variation (TV) merit function, preliminary simulation results for a heterogeneous phantom are reported to demonstrate the viability of the approach and evaluate the performance of the proposed algorithm. It is found that total variation superiorization of BLT can significantly improve the visualization effect of the reconstruction with the sources set as a particular case of radial basis functions.
机译:生物发光层析成像(BLT)是一种功能强大的分子成像技术,旨在对体内生物发光源进行定位和定量。在用扩散近似方程建模的正向过程中,BLT是重建受柯西数据约束的内部生物发光源分布的反问题。通常,由于BLT的不唯一性,必须利用适当的先验信息(例如非负性和源支持约束)来获得物理上有利的BLT解决方案。迭代算法,例如众所周知的期望最大化(EM)算法和Landweber算法,都适合于合并这些基于知识的约束,这在实践中已被广泛使用。在当前的工作中,我们调查了类似的方法在BLT中的应用。提出了在通用框架中以S-BLT表示的BLT原型迭代算法的类似上乘版本。对于作为BLT和S-BLT底层迭代算法的EM算法,并通过总变异(TV)优值函数加以优越性,报告了针对异构体模的初步仿真结果,以证明该方法的可行性并评估所提出方法的性能。算法。已经发现,通过将源设置为径向基函数的特定情况,BLT的总变异优势可以显着改善重建的可视化效果。

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