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Reconstruction in optical tomography using the P-N approximations

Wright, S; Schweiger, M; Arridge, SR; (2007) Reconstruction in optical tomography using the P-N approximations. In: MEASUREMENT SCIENCE & TECHNOLOGY. (pp. 79 - 86). IOP PUBLISHING LTD

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Abstract

In this paper, we consider the inverse problem of reconstructing the absorption and scattering coefficients of the radiative transfer equation (RTE) from measurements of photon current transmitted through a scattering medium in the frequency domain. We consider an output least-squares formulation of this problem and derive the appropriate forward operators and their Frechet derivatives. For efficient implementation, we use the second-order form of the RTE and discuss its solution using a finite element method. The P-N approximation is used to expand the radiance in spherical harmonics, which leads to a large sparse matrix system that can be efficiently solved. Examples are shown in the low-scattering case where the diffusion approximation fails.

Type:Proceedings paper
Title:Reconstruction in optical tomography using the P-N approximations
Event:5th International Conference on Inverse Problems in Engineering
Location:Cambridge, ENGLAND
Dates:2005-07-11 - 2005-07-15
DOI:10.1088/0957-0233/18/1/010
Keywords:diffuse optical tomography, inverse problem, radiative transfer, P-N approximation, NON-SCATTERING REGIONS, RADIATIVE-TRANSFER, PHOTON MIGRATION, IMAGE-RECONSTRUCTION, DIFFUSION-MODEL, TRANSPORT, EQUATION, MEDICINE, MEDIA, LIGHT
UCL classification:UCL > School of BEAMS > Faculty of Engineering Science > Computer Science

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