A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal
This paper focuses on the problem of multiplicative noise removal. Using a gray level indicator, we derive a new functional which consists of the adaptive total variation term and the global convex fidelity term. We prove the existence, uniqueness, and comparison principle of the minimizer for the v...
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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: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/912373 |
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| _version_ | 1849405129538666496 |
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| author | Gang Dong Zhichang Guo Boying Wu |
| author_facet | Gang Dong Zhichang Guo Boying Wu |
| author_sort | Gang Dong |
| collection | DOAJ |
| description | This paper focuses on the problem of multiplicative noise removal. Using a gray level indicator, we derive a
new functional which consists of the adaptive total variation term and the global convex fidelity term. We prove the existence, uniqueness, and comparison principle of the minimizer for the variational problem. The existence, uniqueness, and long-time behavior of the associated evolution equation are established. Finally, experimental results illustrate the effectiveness of the model in multiplicative noise reduction. Different from the other methods, the parameters in the proposed algorithms are found dynamically. |
| format | Article |
| id | doaj-art-470bacdc16dc489b8dfefbfde8c1df91 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-470bacdc16dc489b8dfefbfde8c1df912025-08-20T03:36:45ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/912373912373A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise RemovalGang Dong0Zhichang Guo1Boying Wu2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThis paper focuses on the problem of multiplicative noise removal. Using a gray level indicator, we derive a new functional which consists of the adaptive total variation term and the global convex fidelity term. We prove the existence, uniqueness, and comparison principle of the minimizer for the variational problem. The existence, uniqueness, and long-time behavior of the associated evolution equation are established. Finally, experimental results illustrate the effectiveness of the model in multiplicative noise reduction. Different from the other methods, the parameters in the proposed algorithms are found dynamically.http://dx.doi.org/10.1155/2013/912373 |
| spellingShingle | Gang Dong Zhichang Guo Boying Wu A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal Abstract and Applied Analysis |
| title | A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal |
| title_full | A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal |
| title_fullStr | A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal |
| title_full_unstemmed | A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal |
| title_short | A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal |
| title_sort | convex adaptive total variation model based on the gray level indicator for multiplicative noise removal |
| url | http://dx.doi.org/10.1155/2013/912373 |
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