Journal of Applied Mathematics
Volume 2013 (2013), Article ID 824501, 5 pages
Review Article

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

Department of Mathematics, Dongguk University, Seoul 100-715, Republic of Korea

Received 8 April 2013; Accepted 12 May 2013

Academic Editor: Chang-Hwan Im

Copyright © 2013 Kiwoon Kwon. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


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.