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Proceedings Paper

Two-level domain decomposition algorithm for a nonlinear inverse DOT problem
Author(s): Kiwoon Kwon; Il-young Son; Birsen Yazici
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Paper Abstract

Diffuse optical tomography (DOT) in the near infrared involves reconstruction of spatially varying optical properties of turbid medium from boundary measurements based on a forward model of photon propagation. Due to highly non-linear nature of the DOT, high quality image reconstruction is a computationally demanding problem that requires repeated solutions of both the forward and the inverse problems. Therefore, it is highly desirable to develop methods and algorithms that are computationally efficient. In this paper, we propose a domain decomposition approach to address the computational complexity of the DOT problem. We propose a two-level multiplicative overlapping domain decomposition method for the forward problem and a two-level space decomposition method for the inverse problem. We showed the convergence of the inverse solver and derived the computational complexity of each method. We demonstrate the performance of the proposed approach in numerical simulations.

Paper Details

Date Published: 28 April 2005
PDF: 10 pages
Proc. SPIE 5693, Optical Tomography and Spectroscopy of Tissue VI, (28 April 2005); doi: 10.1117/12.591355
Show Author Affiliations
Kiwoon Kwon, Rensselaer Polytechnic Institute (United States)
Il-young Son, Rensselaer Polytechnic Institute (United States)
Birsen Yazici, Rensselaer Polytechnic Institute (United States)

Published in SPIE Proceedings Vol. 5693:
Optical Tomography and Spectroscopy of Tissue VI
Britton Chance; Robert R. Alfano; Bruce J. Tromberg; Mamoru Tamura; Eva M. Sevick-Muraca, Editor(s)

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