Fast algorithm for color texture image inpainting using the non-local CTV model
The classical non-local Total Variation model has been extensively used for gray texture image inpainting previously, but such model can not be directly applied to color texture image inpainting due to coupling of different image channels in color images. In order to solve the inpainting problem for...
| Main Authors: | , , , , |
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| Format: | Journal Article |
| Published: |
Kluwer Academic Publishers
2015
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| Online Access: | http://hdl.handle.net/20.500.11937/43325 |
| _version_ | 1848756659883606016 |
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| author | Duan, J. Pan, Z. Zhang, B. Liu, Wan-Quan Tai, X. |
| author_facet | Duan, J. Pan, Z. Zhang, B. Liu, Wan-Quan Tai, X. |
| author_sort | Duan, J. |
| building | Curtin Institutional Repository |
| collection | Online Access |
| description | The classical non-local Total Variation model has been extensively used for gray texture image inpainting previously, but such model can not be directly applied to color texture image inpainting due to coupling of different image channels in color images. In order to solve the inpainting problem for color texture images effectively, we propose a non-local Color Total Variation model. This model is different from the recently proposed non-local Mumford–Shah model (NL-MS). Technically, the proposed model is an extension of local TV model for gray images but we take account of the relationship between different channels in color images and make use of concepts of the non-local operators. We will analyze how the coupling of different channels of color images in the proposed model makes the problem difficult for numerical implementation with the conventional split Bregman algorithm. In order to solve the proposed model efficiently, we propose a fast heuristic numerical algorithm based on the split Bregman algorithm with introduction of a threshold function. The performance of the proposed model with the proposed heuristic algorithm is compared with the NL-MS model. Extensive numerical experiments have shown that the proposed model and algorithm have superior excellent performance as well as with much faster speed. |
| first_indexed | 2025-11-14T09:15:43Z |
| format | Journal Article |
| id | curtin-20.500.11937-43325 |
| institution | Curtin University Malaysia |
| institution_category | Local University |
| last_indexed | 2025-11-14T09:15:43Z |
| publishDate | 2015 |
| publisher | Kluwer Academic Publishers |
| recordtype | eprints |
| repository_type | Digital Repository |
| spelling | curtin-20.500.11937-433252017-09-13T15:08:24Z Fast algorithm for color texture image inpainting using the non-local CTV model Duan, J. Pan, Z. Zhang, B. Liu, Wan-Quan Tai, X. The classical non-local Total Variation model has been extensively used for gray texture image inpainting previously, but such model can not be directly applied to color texture image inpainting due to coupling of different image channels in color images. In order to solve the inpainting problem for color texture images effectively, we propose a non-local Color Total Variation model. This model is different from the recently proposed non-local Mumford–Shah model (NL-MS). Technically, the proposed model is an extension of local TV model for gray images but we take account of the relationship between different channels in color images and make use of concepts of the non-local operators. We will analyze how the coupling of different channels of color images in the proposed model makes the problem difficult for numerical implementation with the conventional split Bregman algorithm. In order to solve the proposed model efficiently, we propose a fast heuristic numerical algorithm based on the split Bregman algorithm with introduction of a threshold function. The performance of the proposed model with the proposed heuristic algorithm is compared with the NL-MS model. Extensive numerical experiments have shown that the proposed model and algorithm have superior excellent performance as well as with much faster speed. 2015 Journal Article http://hdl.handle.net/20.500.11937/43325 10.1007/s10898-015-0290-7 Kluwer Academic Publishers restricted |
| spellingShingle | Duan, J. Pan, Z. Zhang, B. Liu, Wan-Quan Tai, X. Fast algorithm for color texture image inpainting using the non-local CTV model |
| title | Fast algorithm for color texture image inpainting using the non-local CTV model |
| title_full | Fast algorithm for color texture image inpainting using the non-local CTV model |
| title_fullStr | Fast algorithm for color texture image inpainting using the non-local CTV model |
| title_full_unstemmed | Fast algorithm for color texture image inpainting using the non-local CTV model |
| title_short | Fast algorithm for color texture image inpainting using the non-local CTV model |
| title_sort | fast algorithm for color texture image inpainting using the non-local ctv model |
| url | http://hdl.handle.net/20.500.11937/43325 |