Linearized reconstruction for diffuse optical spectroscopic imaging. (31st January 2019)

• Record Type: Journal Article
• Authors: Ammari, Habib; Jin, Bangti; Zhang, Wenlong
• Is Part Of: Proceedings. Volume 475:Number 2221(2019)
• Publication Date: 2019-01-31
• Subjects: diffuse optical spectroscopic imaging -- reconstruction algorithm -- group sparsity -- imperfectly known boundary; Physical sciences -- Periodicals; Engineering -- Periodicals; Mathematics -- Periodicals; 500
• DOI: 10.1098/rspa.2018.0592
• Languages: English
• ISSNs: 1364-5021

Abstract

Abstract : 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.