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用于在脑功能扩散光学断层扫描中直接重建血流动力学响应的稀疏正则化方法。

Sparsity-regularized approaches to directly reconstructing hemodynamic response in brain functional diffuse optical tomography.

作者信息

Wang Bingyuan, Zhang Yao, Liu Dongyuan, Ding Xuemei, Dan Mai, Pan Tiantian, Zhao Huijuan, Gao Feng

出版信息

Appl Opt. 2019 Feb 1;58(4):863-870. doi: 10.1364/AO.58.000863.

DOI:10.1364/AO.58.000863
PMID:30874130
Abstract

In brain functional diffuse optical tomography, conventional indirect approaches first separately reconstruct the spatial changes in the absorption coefficients at every time point and then calculate the spatial excited levels in terms of hemodynamic models. Direct approaches combine the two steps necessary in the indirect approaches and obtain the spatial excited levels directly. Although reconstruction quality has been improved by the direct approaches to some extent, they still lack sharp edges and suffer from low spatial resolution because of the ill-posedness of the inverse problems. In this paper, a priori sparsity is introduced to obtain the sparse solutions and further improve reconstruction quality. Simulation experiments are conducted to illustrate the expected performance improvements of the proposed approaches.

摘要

在脑功能扩散光学断层成像中,传统的间接方法首先在每个时间点分别重建吸收系数的空间变化,然后根据血流动力学模型计算空间激发水平。直接方法将间接方法中所需的两个步骤结合起来,直接获得空间激发水平。尽管直接方法在一定程度上提高了重建质量,但由于反问题的不适定性,它们仍然缺乏清晰的边缘且空间分辨率较低。本文引入先验稀疏性以获得稀疏解并进一步提高重建质量。进行了仿真实验以说明所提方法预期的性能提升。

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