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Poissonian image reconstruction using alternating direction algorithm

[+] Author Affiliations
Xinwu Liu

Hunan University of Science and Technology, School of Mathematics and Computational Science, Xiangtan, Hunan 411201, China

Lihong Huang

Hunan University, College of Mathematics and Econometrics, Changsha, Hunan 410082, China

Hunan Women’s University, Department of Information Technology, Changsha, Hunan 410004, China

J. Electron. Imaging. 22(3), 033007 (Aug 12, 2013). doi:10.1117/1.JEI.22.3.033007
History: Received November 18, 2012; Revised June 5, 2013; Accepted July 10, 2013
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Abstract.  The total variation-regularization-based scheme for image reconstruction contaminated by Poisson noise is investigated. To quickly obtain the best numerical solution, a fast alternating direction algorithm is addressed and the convergence of the proposed approach is strictly proved. Subsequently, our numerical simulations markedly demonstrate the high efficiency and stability of the new strategy in terms of evaluating the computation speed and especially the quality of the recovered images, compared with some of the current state-of-the-art numerical algorithms.

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Citation

Xinwu Liu and Lihong Huang
"Poissonian image reconstruction using alternating direction algorithm", J. Electron. Imaging. 22(3), 033007 (Aug 12, 2013). ; http://dx.doi.org/10.1117/1.JEI.22.3.033007


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