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首页> 外文期刊>Scientific reports. >Dimensionality Reduction Based Optimization Algorithm for Sparse 3-D Image Reconstruction in Diffuse Optical Tomography
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Dimensionality Reduction Based Optimization Algorithm for Sparse 3-D Image Reconstruction in Diffuse Optical Tomography

机译：扩散光学层析成像中基于降维的稀疏3-D图像重建优化算法

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摘要

Diffuse optical tomography (DOT) is a relatively low cost and portable imaging modality for reconstruction of optical properties in a highly scattering medium, such as human tissue. The inverse problem in DOT is highly ill-posed, making reconstruction of high-quality image a critical challenge. Because of the nature of sparsity in DOT, sparsity regularization has been utilized to achieve high-quality DOT reconstruction. However, conventional approaches using sparse optimization are computationally expensive and have no selection criteria to optimize the regularization parameter. In this paper, a novel algorithm, Dimensionality Reduction based Optimization for DOT (DRO-DOT), is proposed. It reduces the dimensionality of the inverse DOT problem by reducing the number of unknowns in two steps and thereby makes the overall process fast. First, it constructs a low resolution voxel basis based on the sensing-matrix properties to find an image support. Second, it reconstructs the sparse image inside this support. To compensate for the reduced sensitivity with increasing depth, depth compensation is incorporated in DRO-DOT. An efficient method to optimally select the regularization parameter is proposed for obtaining a high-quality DOT image. DRO-DOT is also able to reconstruct high-resolution images even with a limited number of optodes in a spatially limited imaging set-up.
机译：漫射光学层析成像（DOT）是一种成本相对较低的便携式成像方式，可用于在高度散射的介质（如人体组织）中重建光学特性。 DOT中的逆问题非常不适，使得重建高质量图像成为一个严峻的挑战。由于DOT中稀疏性的本质，稀疏正则化已用于实现高质量DOT重建。然而，使用稀疏优化的常规方法在计算上是昂贵的，并且没有用于优化正则化参数的选择标准。本文提出了一种基于降维的DOT优化算法（DRO-DOT）。它通过减少两步中的未知数来减小反DOT问题的维数，从而加快了整个过程的速度。首先，它基于感测矩阵属性构建低分辨率体素基础，以找到图像支持。其次，它在此支撑内重建稀疏图像。为了补偿随着深度增加而降低的灵敏度，DRO-DOT中集成了深度补偿。为获得高质量的DOT图像，提出了一种优化选择正则化参数的有效方法。即使在空间有限的成像设置中使用有限数量的光电二极管，DRO-DOT也能够重建高分辨率图像。

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