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: | , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/238561 |
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| _version_ | 1832562530458796032 |
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| author | Yi Xu Ting-Zhu Huang Jun Liu Xiao-Guang Lv |
| author_facet | Yi Xu Ting-Zhu Huang Jun Liu Xiao-Guang Lv |
| author_sort | Yi Xu |
| collection | DOAJ |
| 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). |
| format | Article |
| id | doaj-art-5355a2c21d4c4e68857c48cf94e23795 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-5355a2c21d4c4e68857c48cf94e237952025-02-03T01:22:20ZengWileyJournal 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 |
| 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 |
| title | 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_short | 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 |
| 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 |