Linearized reconstruction for diffuse optical spectroscopic imaging

Linearized reconstruction for diffuse optical spectroscopic imaging
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漫射光学光谱成像的线性化重建

DOI:
10.1098/rspa.2018.0592
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发表时间:
2019
期刊:
Mathematical, Physical and Engineering Sciences
影响因子:
--
通讯作者:
Ammari H
Ammari H
中科院分区:
--
文献类型:
--
作者:
Ammari H

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本文提出了一种新的漫射光谱成像重建方法,该方法采用了一种常用的光学吸收和散射组织模型。它是基于线性化和群稀疏性,这使得扩散系数和吸收系数可以同时恢复,只要它们的光谱分布是不相干的,并且明智地采取了足够数量的波长进行测量。我们还讨论了不完全已知边界的重建,并表明,在多波长数据下,该方法可以减少建模误差的影响,仍然可以恢复吸收系数。广泛的数值实验提出了支持我们的分析。
In this paper, we present a novel reconstruction method for diffuse optical spectroscopic imaging with a commonly used tissue model of optical absorption and scattering. It is based on linearization and group sparsity, which allows the diffusion coefficient and absorption coefficient to be recovered simultaneously, provided that their spectral profiles are incoherent and a sufficient number of wavelengths are judiciously taken for the measurements. We also discuss the reconstruction for an imperfectly known boundary and show that, with multi-wavelength data, the method can reduce the influence of modelling errors and still recover the absorption coefficient. Extensive numerical experiments are presented to support our analysis.
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