title: Second-order TGV model for Poisson noise image restoration.
abstract: Restoring Poissonian noise images have drawn a lot of attention in recent years. There are many regularization methods to solve this problem and one of the most famous methods is the total variation model. In this paper, by adding a quadratic regularization on TGV regularization part, a new image restoration model is proposed based on second-order total generalized variation regularization. Then the split Bregman iteration algorithm was used to solve this new model. The experimental results show that the proposed model and algorithm can deal with Poisson image restoration problem well. What's more, the restoration model performance is significantly improved both in visual effect and objective evaluation indexes.
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731 People's Republic of China.
authors.forename: Hou-Biao
authors.initials: HB
authors.lastname: Li
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731 People's Republic of China.
authors.forename: Jun-Yan
authors.initials: JY
authors.lastname: Wang
authors.affiliation: School of Mathematical Sciences, University of Electronic Science and Technology of China, Chengdu, 611731 People's Republic of China.
authors.forename: Hong-Xia
authors.initials: HX
authors.lastname: Dou
keywords: Image restoration; Optimization problem; Poisson noise; Split Bregman iteration; Total generalized variation