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RTE-based parameter reconstruction with [formula omitted] regularization.

Authors :
Tong, Shanshan
Han, Bo
Chen, Yong
Tang, Jinping
Bi, Bo
Gu, Ruixue
Source :
Journal of Computational & Applied Mathematics. Aug2018, Vol. 337, p256-273. 18p.
Publication Year :
2018

Abstract

Optical tomography is an imaging modality that explores the distribution of optical parameters in tissues. In this paper, the regularization jointing both T V and L 1 norm is studied for absorption parameter identification based on radiative transport equation. The T V + L 1 framework is introduced containing L 2 data fidelity, T V regularizer and L 1 regularizer. We demonstrate the existence, stability and convergence of the minima with respect to this T V + L 1 regularization. A novel algorithm for solving related optimization problem is proposed based on reweighted method and technique of split-Bregman. Simulations are performed to show that the proposed reweighted T V + L 1 regularization is more capable of preserving geometric structure of inclusions, quantifying values of absorption parameter and promoting fast convergence compared with T V or L 1 regularization, and is potential for breast cancer imaging. Moreover, it is robust to noise. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
03770427
Volume :
337
Database :
Academic Search Index
Journal :
Journal of Computational & Applied Mathematics
Publication Type :
Academic Journal
Accession number :
128348459
Full Text :
https://doi.org/10.1016/j.cam.2018.01.011