Discretization error based mesh generation for diffuse optical tomography

Murat Guven, Birsen Yazici, Kiwoon Kwon, Eldar Giladi, Xavier Intes

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

In this paper, we analyze the perturbation in the reconstructed optical absorption images, resulting from the discretization of the forward and inverse problems. We show that the perturbation due to each problem is a function of both the forward and inverse problem solutions and can be reduced by proper refinement of the discretization mesh. Based on the perturbation analysis, we devise a novel adaptive discretization scheme for forward and inverse problems, which reduces the perturbation on the reconstructed image. Such a discretization scheme leads to an adaptively refined composite mesh sufficient to approximate the forward and inverse problem solutions within a desired level of accuracy while keeping the computational complexity within the computational power limits.

Original languageEnglish
Title of host publicationProceedings - 34th Applied Image Pattern Recognition Workshop, AIPR 2005
EditorsRobert J. Bonneau
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages146-151
Number of pages6
ISBN (Electronic)0769524796, 9780769524795
DOIs
StatePublished - 2005
Event34th Applied Image Pattern Recognition Workshop, AIPR 2005 - Washington, United States
Duration: 19 Oct 200521 Oct 2005

Publication series

NameProceedings - 34th Applied Image Pattern Recognition Workshop, AIPR 2005

Conference

Conference34th Applied Image Pattern Recognition Workshop, AIPR 2005
Country/TerritoryUnited States
CityWashington
Period19/10/0521/10/05

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