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Linearized Reconstruction for Diffuse Optical Spectroscopic Imaging

Jin, B; Ammari, H; Zhang, W; (2019) Linearized Reconstruction for Diffuse Optical Spectroscopic Imaging. Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences , 475 (2221) 10.1098/rspa.2018.0592. Green open access

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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.

Type: Article
Title: Linearized Reconstruction for Diffuse Optical Spectroscopic Imaging
Open access status: An open access version is available from UCL Discovery
DOI: 10.1098/rspa.2018.0592
Publisher version: https://doi.org/10.1098/rspa.2018.0592
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
UCL classification: UCL
UCL > Provost and Vice Provost Offices > UCL BEAMS
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science
UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science
URI: https://discovery.ucl.ac.uk/id/eprint/10063346
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