Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography

Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography

Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformul...

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Main Author: Kiwoon Kwon
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/824501
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spelling doaj-b8451e15baf44aa88d5347870df736512020-11-24T23:04:19ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/824501824501Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical TomographyKiwoon Kwon0Department of Mathematics, Dongguk University, Seoul 100-715, Republic of KoreaDiffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformulated to find a perturbation of the optical coefficients inverting the Born expansion which is an infinite series expansion with respect to the perturbation and the a priori information. Numerical methods for DOT are explained as methods inverting first- or second-order Born approximation or the Born expansion itself.http://dx.doi.org/10.1155/2013/824501
collection DOAJ
language English
format Article
sources DOAJ
author Kiwoon Kwon
spellingShingle Kiwoon Kwon
Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography
Journal of Applied Mathematics
author_facet Kiwoon Kwon
author_sort Kiwoon Kwon
title Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography
title_short Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography
title_full Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography
title_fullStr Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography
title_full_unstemmed Uniqueness, Born Approximation, and Numerical Methods for Diffuse Optical Tomography
title_sort uniqueness, born approximation, and numerical methods for diffuse optical tomography
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description Diffuse optical tomogrpahy (DOT) is to find optical coefficients of tissue using near infrared light. DOT as an inverse problem is described and the studies about unique determination of optical coefficients are summarized. If a priori information of the optical coefficient is known, DOT is reformulated to find a perturbation of the optical coefficients inverting the Born expansion which is an infinite series expansion with respect to the perturbation and the a priori information. Numerical methods for DOT are explained as methods inverting first- or second-order Born approximation or the Born expansion itself.
url http://dx.doi.org/10.1155/2013/824501
work_keys_str_mv AT kiwoonkwon uniquenessbornapproximationandnumericalmethodsfordiffuseopticaltomography
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