title: A dictionary learning approach for Poisson image deblurring.
abstract: The restoration of images corrupted by blur and Poisson noise is a key issue in medical and biological image processing. While most existing methods are based on variational models, generally derived from a maximum a posteriori (MAP) formulation, recently sparse representations of images have shown to be efficient approaches for image recovery. Following this idea, we propose in this paper a model containing three terms: a patch-based sparse representation prior over a learned dictionary, the pixel-based total variation regularization term and a data-fidelity term capturing the statistics of Poisson noise. The resulting optimization problem can be solved by an alternating minimization technique combined with variable splitting. Extensive experimental results suggest that in terms of visual quality, peak signal-to-noise ratio value and the method noise, the proposed algorithm outperforms state-of-the-art methods.
authors.affiliation: School of Computer and Information Technology, Beijing Jiaotong University, Beijing 100044, China. 08112068@bjtu.edu.cn
authors.forename: Liyan
authors.initials: L
authors.lastname: Ma
authors.forename: Lionel
authors.initials: L
authors.lastname: Moisan
authors.forename: Jian
authors.initials: J
authors.lastname: Yu
authors.forename: Tieyong
authors.initials: T
authors.lastname: Zeng
mesh_terms: D000465:Algorithms; D000818:Animals; D000842:Ankle / Q000033:anatomy & histology; D006257:Head / Q000033:anatomy & histology; D006801:Humans; D007091:Image Processing, Computer-Assisted / Q000379:methods*; D007422:Intestines / Q000033:anatomy & histology; D008279:Magnetic Resonance Imaging; D051379:Mice; D008856:Microscopy, Fluorescence; D016012:Poisson Distribution; D059629:Signal-To-Noise Ratio