Second-order TGV model for Poisson noise image restoration

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 re...

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Published inSpringerPlus Vol. 5; no. 1; p. 1272
Main Authors Li, Hou-biao, Wang, Jun-yan, Dou, Hong-xia
Format Journal Article
LanguageEnglish
Published Cham Springer International Publishing 05.08.2016
Springer Nature B.V
Subjects
Applied Mathematics
Humanities and Social Sciences
multidisciplinary
Science
Science (multidisciplinary)
Total generalized variation
Split Bregman iteration
Image restoration
Poisson noise
Optimization problem
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Summary: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.
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ISSN:2193-1801
2193-1801
DOI:10.1186/s40064-016-2929-3