A primal dual proximal point method of Chambolle-Pock algorithms for ℓ1-TV minimization problems in image reconstruction

Tang, Y. and Peng, Jigen and Yue, Shigang and Xu, Jiawei (2012) A primal dual proximal point method of Chambolle-Pock algorithms for ℓ1-TV minimization problems in image reconstruction. In: 5th International Conference on Biomedical Engineering and Informatics, BMEI 2012, 16-18 October 2012, Chongqing, China.

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Abstract

Computed tomography (CT) image reconstruction problems can be solved by finding the minimizer of a suitable objective function. The objective function usually consists of a data fidelity term and a regularization term. Total variation (TV) minimization problems are widely used for solving incomplete data problems in CT image reconstruction. In this paper, we focus on the CT image reconstruction model which combines the TV regularization and ℓ1 data error term. We introduce a primal dual proximal point method of Chambolle-Pock algorithm to solve the proposed optimization problem. We tested it on computer simulated data and the experiment results shown it exhibited good performance when used to few-view CT image reconstruction. © 2012 IEEE.

Keywords:Ct image reconstruction, Minimization problems, Objective functions, Optimization problems, Proximal point method, Reconstruction problems, Regularization terms, Tv regularizations, Algorithms, Biomedical engineering, Computerized tomography, Image reconstruction, Information science, Problem solving
Subjects:H Engineering > H990 Engineering not elsewhere classified
G Mathematical and Computer Sciences > G400 Computer Science
H Engineering > H831 Bioprocess Engineering
Divisions:College of Science > School of Computer Science
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ID Code:13409
Deposited On:21 Feb 2014 10:56

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