Linearized reconstruction for diffuse optical spectroscopic imaging

被引：2

作者：

Ammari, Habib ^{[1
]}

Jin, Bangti ^{[2
]}

Zhang, Wenlong ^{[3
]}

机构：

[1] Swiss Fed Inst Technol, Dept Math, Ramistr 101, CH-8092 Zurich, Switzerland

[2] UCL, Dept Comp Sci, Gower St, London WC1E 6BT, England

[3] Southern Univ Sci & Technol, Dept Math, Shenzhen 1088, Guangdong, Peoples R China

来源：

PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES | 2019年 / 475卷 / 2221期

基金：

英国工程与自然科学研究理事会;

关键词：

diffuse optical spectroscopic imaging; reconstruction algorithm; group sparsity; imperfectly known boundary; TOMOGRAPHY; CHROMOPHORE; TISSUES;

D O I：

10.1098/rspa.2018.0592

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页数：21

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