Analysis of a new variational model for image multiplicative denoising
In this paper, we study the mathematical properties of a new variational model for image multiplicative noise removal. Some important properties of the model, including the lower semicontinuity, the differential property, the convergence and regularization property, are established for the first tim...
| Main Authors: | , , |
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| Format: | Journal Article |
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Hindawi Publishing Corporation
2013
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| Online Access: | http://hdl.handle.net/20.500.11937/15443 |
| _version_ | 1848748894359388160 |
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| author | Hu, Xuegang Wu, Yong Hong Li, Ling |
| author_facet | Hu, Xuegang Wu, Yong Hong Li, Ling |
| author_sort | Hu, Xuegang |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | In this paper, we study the mathematical properties of a new variational model for image multiplicative noise removal. Some important properties of the model, including the lower semicontinuity, the differential property, the convergence and regularization property, are established for the first time. The existence and uniqueness of a solution for the problem as well as a comparison principle have also been established. |
| first_indexed | 2025-11-14T07:12:17Z |
| format | Journal Article |
| id | curtin-20.500.11937-15443 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T07:12:17Z |
| publishDate | 2013 |
| publisher | Hindawi Publishing Corporation |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-154432017-09-13T13:41:02Z Analysis of a new variational model for image multiplicative denoising Hu, Xuegang Wu, Yong Hong Li, Ling variational approach multiplicative noise BV function space regularization In this paper, we study the mathematical properties of a new variational model for image multiplicative noise removal. Some important properties of the model, including the lower semicontinuity, the differential property, the convergence and regularization property, are established for the first time. The existence and uniqueness of a solution for the problem as well as a comparison principle have also been established. 2013 Journal Article http://hdl.handle.net/20.500.11937/15443 10.1186/1029-242X-2013-568 Hindawi Publishing Corporation fulltext |
| spellingShingle | variational approach multiplicative noise BV function space regularization Hu, Xuegang Wu, Yong Hong Li, Ling Analysis of a new variational model for image multiplicative denoising |
| title | Analysis of a new variational model for image multiplicative denoising |
| title_full | Analysis of a new variational model for image multiplicative denoising |
| title_fullStr | Analysis of a new variational model for image multiplicative denoising |
| title_full_unstemmed | Analysis of a new variational model for image multiplicative denoising |
| title_short | Analysis of a new variational model for image multiplicative denoising |
| title_sort | analysis of a new variational model for image multiplicative denoising |
| topic | variational approach multiplicative noise BV function space regularization |
| url | http://hdl.handle.net/20.500.11937/15443 |