TITLE

Iterative Least-Square Method for 1-D Inversion Problems in Optical Tomography

AUTHOR(S)
Tadi, M.
PUB. DATE
December 2007
SOURCE
International Journal of Computational & Applied Mathematics;2007, Vol. 2 Issue 3, p253
SOURCE TYPE
Academic Journal
DOC. TYPE
Article
ABSTRACT
This note considers two coefficient identification problems for a one-dimensional parabolic equation. It introduces a similar algorithm for both problems that is iterative in nature. The algorithm assumes an initial guess for the unknown function and obtains a background field. After linearizing around the background field, it obtains an integral equation for the correction to the assumed function. At every iteration the algorithm needs to solve an integral equation. It uses Tikhonov regularization to stabilize the solution of the integral equation. A number of examples are used to demonstrate the applicability of the proposed method.
ACCESSION #
35136759

 

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