Image Restoration Based on the Hybrid Total-Variation-Type Model
We propose a hybrid total-variation-type model for the image restoration problem based on combining advantages of the ROF model with the LLT model. Since two L1-norm terms in the proposed model make it difficultly solved by using some classically numerical methods directly, we first employ the alter...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/376802 |
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| _version_ | 1832547540909686784 |
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| author | Baoli Shi Zhi-Feng Pang Yu-Fei Yang |
| author_facet | Baoli Shi Zhi-Feng Pang Yu-Fei Yang |
| author_sort | Baoli Shi |
| collection | DOAJ |
| description | We propose a hybrid total-variation-type model for the image restoration problem based on combining advantages of the ROF model with the LLT model. Since two L1-norm terms in the proposed model make it difficultly solved by using some classically numerical methods directly, we first employ the alternating direction method of multipliers (ADMM) to solve a general form of the proposed model. Then, based on the ADMM and the Moreau-Yosida decomposition theory, a more efficient method called the proximal point method (PPM) is proposed and the convergence of the proposed method is proved. Some numerical results demonstrate the viability and efficiency of the proposed model and methods. |
| format | Article |
| id | doaj-art-f9ac81e634ed44d5868b44712ad55c11 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2012-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-f9ac81e634ed44d5868b44712ad55c112025-02-03T06:44:25ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/376802376802Image Restoration Based on the Hybrid Total-Variation-Type ModelBaoli Shi0Zhi-Feng Pang1Yu-Fei Yang2College of Mathematics and Information Science, Henan University, Kaifeng 475004, ChinaCollege of Mathematics and Information Science, Henan University, Kaifeng 475004, ChinaDepartment of Information and Computing Science, Changsha University, Changsha 410003, ChinaWe propose a hybrid total-variation-type model for the image restoration problem based on combining advantages of the ROF model with the LLT model. Since two L1-norm terms in the proposed model make it difficultly solved by using some classically numerical methods directly, we first employ the alternating direction method of multipliers (ADMM) to solve a general form of the proposed model. Then, based on the ADMM and the Moreau-Yosida decomposition theory, a more efficient method called the proximal point method (PPM) is proposed and the convergence of the proposed method is proved. Some numerical results demonstrate the viability and efficiency of the proposed model and methods.http://dx.doi.org/10.1155/2012/376802 |
| spellingShingle | Baoli Shi Zhi-Feng Pang Yu-Fei Yang Image Restoration Based on the Hybrid Total-Variation-Type Model Abstract and Applied Analysis |
| title | Image Restoration Based on the Hybrid Total-Variation-Type Model |
| title_full | Image Restoration Based on the Hybrid Total-Variation-Type Model |
| title_fullStr | Image Restoration Based on the Hybrid Total-Variation-Type Model |
| title_full_unstemmed | Image Restoration Based on the Hybrid Total-Variation-Type Model |
| title_short | Image Restoration Based on the Hybrid Total-Variation-Type Model |
| title_sort | image restoration based on the hybrid total variation type model |
| url | http://dx.doi.org/10.1155/2012/376802 |
| work_keys_str_mv | AT baolishi imagerestorationbasedonthehybridtotalvariationtypemodel AT zhifengpang imagerestorationbasedonthehybridtotalvariationtypemodel AT yufeiyang imagerestorationbasedonthehybridtotalvariationtypemodel |