Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame Regularization
It has been proved that total generalized variation (TGV) can better preserve edges while suppressing staircase effect. In this paper, we propose an effective hybrid regularization model based on second-order TGV and wavelet frame. The proposed model inherits the advantages of TGV regularization and...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2019/3650128 |
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| _version_ | 1850221867355340800 |
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| author | Jianguang Zhu Kai Li Binbin Hao |
| author_facet | Jianguang Zhu Kai Li Binbin Hao |
| author_sort | Jianguang Zhu |
| collection | DOAJ |
| description | It has been proved that total generalized variation (TGV) can better preserve edges while suppressing staircase effect. In this paper, we propose an effective hybrid regularization model based on second-order TGV and wavelet frame. The proposed model inherits the advantages of TGV regularization and wavelet frame regularization, can eliminate staircase effect while protecting the sharp edge, and simultaneously has good capability of sparsely estimating the piecewise smooth functions. The alternative direction method of multiplier (ADMM) is employed to solve the new model. Numerical results show that our proposed model can preserve more details and get higher image visual quality than some current state-of-the-art methods. |
| format | Article |
| id | doaj-art-7114fdd6ac0c4a5dace9682b86e126f1 |
| institution | OA Journals |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-7114fdd6ac0c4a5dace9682b86e126f12025-08-20T02:06:35ZengWileyComplexity1076-27871099-05262019-01-01201910.1155/2019/36501283650128Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame RegularizationJianguang Zhu0Kai Li1Binbin Hao2College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao 266590, ChinaCollege of Science, China University of Petroleum, Qingdao 266580, ChinaIt has been proved that total generalized variation (TGV) can better preserve edges while suppressing staircase effect. In this paper, we propose an effective hybrid regularization model based on second-order TGV and wavelet frame. The proposed model inherits the advantages of TGV regularization and wavelet frame regularization, can eliminate staircase effect while protecting the sharp edge, and simultaneously has good capability of sparsely estimating the piecewise smooth functions. The alternative direction method of multiplier (ADMM) is employed to solve the new model. Numerical results show that our proposed model can preserve more details and get higher image visual quality than some current state-of-the-art methods.http://dx.doi.org/10.1155/2019/3650128 |
| spellingShingle | Jianguang Zhu Kai Li Binbin Hao Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame Regularization Complexity |
| title | Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame Regularization |
| title_full | Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame Regularization |
| title_fullStr | Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame Regularization |
| title_full_unstemmed | Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame Regularization |
| title_short | Image Restoration by Second-Order Total Generalized Variation and Wavelet Frame Regularization |
| title_sort | image restoration by second order total generalized variation and wavelet frame regularization |
| url | http://dx.doi.org/10.1155/2019/3650128 |
| work_keys_str_mv | AT jianguangzhu imagerestorationbysecondordertotalgeneralizedvariationandwaveletframeregularization AT kaili imagerestorationbysecondordertotalgeneralizedvariationandwaveletframeregularization AT binbinhao imagerestorationbysecondordertotalgeneralizedvariationandwaveletframeregularization |