Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization Model

Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization Model

We propose a fourth-order total bounded variation regularization model which could reduce undesirable effects effectively. Based on this model, we introduce an improved split Bregman iteration algorithm to obtain the optimum solution. The convergence property of our algorithm is provided. Numerical...

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Main Authors: Yi Xu, Ting-Zhu Huang, Jun Liu, Xiao-Guang Lv
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Journal of Applied Mathematics
Online Access:http://dx.doi.org/10.1155/2013/238561
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spelling doaj-5355a2c21d4c4e68857c48cf94e237952020-11-24T22:19:19ZengHindawi LimitedJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/238561238561Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization ModelYi Xu0Ting-Zhu Huang1Jun Liu2Xiao-Guang Lv3School of Mathematical Sciences/Institute of Computational Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences/Institute of Computational Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences/Institute of Computational Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaSchool of Mathematical Sciences/Institute of Computational Science, University of Electronic Science and Technology of China, Chengdu, Sichuan 611731, ChinaWe propose a fourth-order total bounded variation regularization model which could reduce undesirable effects effectively. Based on this model, we introduce an improved split Bregman iteration algorithm to obtain the optimum solution. The convergence property of our algorithm is provided. Numerical experiments show the more excellent visual quality of the proposed model compared with the second-order total bounded variation model which is proposed by Liu and Huang (2010).http://dx.doi.org/10.1155/2013/238561
collection DOAJ
language English
format Article
sources DOAJ
author Yi Xu
Ting-Zhu Huang
Jun Liu
Xiao-Guang Lv
spellingShingle Yi Xu
Ting-Zhu Huang
Jun Liu
Xiao-Guang Lv
Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization Model
Journal of Applied Mathematics
author_facet Yi Xu
Ting-Zhu Huang
Jun Liu
Xiao-Guang Lv
author_sort Yi Xu
title Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization Model
title_short Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization Model
title_full Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization Model
title_fullStr Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization Model
title_full_unstemmed Split Bregman Iteration Algorithm for Image Deblurring Using Fourth-Order Total Bounded Variation Regularization Model
title_sort split bregman iteration algorithm for image deblurring using fourth-order total bounded variation regularization model
publisher Hindawi Limited
series Journal of Applied Mathematics
issn 1110-757X
1687-0042
publishDate 2013-01-01
description We propose a fourth-order total bounded variation regularization model which could reduce undesirable effects effectively. Based on this model, we introduce an improved split Bregman iteration algorithm to obtain the optimum solution. The convergence property of our algorithm is provided. Numerical experiments show the more excellent visual quality of the proposed model compared with the second-order total bounded variation model which is proposed by Liu and Huang (2010).
url http://dx.doi.org/10.1155/2013/238561
work_keys_str_mv AT yixu splitbregmaniterationalgorithmforimagedeblurringusingfourthordertotalboundedvariationregularizationmodel
AT tingzhuhuang splitbregmaniterationalgorithmforimagedeblurringusingfourthordertotalboundedvariationregularizationmodel
AT junliu splitbregmaniterationalgorithmforimagedeblurringusingfourthordertotalboundedvariationregularizationmodel
AT xiaoguanglv splitbregmaniterationalgorithmforimagedeblurringusingfourthordertotalboundedvariationregularizationmodel
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