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Abstract and Applied Analysis
Volume 2012 (2012), Article ID 965281, 14 pages
Research Article

Poisson Noise Removal Scheme Based on Fourth-Order PDE by Alternating Minimization Algorithm

1College of Mathematics and Econometrics, Hunan University, Hunan, Changsha 410082, China
2Department of Mathematics, Chuxiong Normal University, Yunnan, Chuxiong 675000, China

Received 17 September 2011; Revised 23 October 2011; Accepted 19 November 2011

Academic Editor: Muhammad Aslam Noor

Copyright © 2012 Weifeng Zhou and Qingguo Li. 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.


To overcome the staircasing effects introduced by the TV regularization in image restoration, this paper investigates a fourth-order partial differential equation (PDE) filter for removing Poisson noise. In consideration of the slow convergence property of the classical gradient descent method, we adopt the alternating minimization algorithm for realizing this scheme. Compared with the corresponding total variation based one, numerical simulations distinctly indicate the superiority of our proposed strategy in handling smooth regions of Poissonian images and improving the computational speed.