Inverse transport with isotropic sources and angularly averaged measurements
type: Item
instance of: scholarly article
title: Inverse transport with isotropic sources and angularly averaged measurements
zbMATH Open document ID: 1171.65104
author: Guillaume Bal
author: Ian Langmore
author: François Monard
published in: Inverse Problems and Imaging
publication date: 2008-08-22T00:00:00Z
review text: Inverse transport theory consists in reconstructing the constitutive parameters in the transport equation from various measurements. In this paper the problem of reconstructing the spatially-dependent scattering coefficient (independent of the direction of scattering) is considered. The total absorption coefficient is assumed to be already known. The authors prove that the diffusion-type measurements allow to reconstruct the low frequency part of the scattering coefficient. \(L^\infty\) error bounds are obtained under additional smallness assumptions on the absorption and scattering coefficients.
reviewed by: Teresa Regińska
Mathematics Subject Classification ID: 65R32
Mathematics Subject Classification ID: 92C55
Mathematics Subject Classification ID: 82C70
Mathematics Subject Classification ID: 45K05
zbMATH DE Number: 5315134
zbMATH Keywords: inverse transport problem
zbMATH Keywords: regularized inverse
zbMATH Keywords: averaged measurements
zbMATH Keywords: optical parameters
zbMATH Keywords: scattering coefficient
zbMATH Keywords: error bound
zbMATH Keywords: isotropic sources
MaRDI profile type: Publication
full work available at URL: ipi.2008.2.23
OpenAlex ID: W2318978041
DOI: 10.3934/IPI.2008.2.23
description: scientific article; zbMATH DE number 5315134