Augmented Lagrangian method for generalized TV-stokes model
In this paper, we propose a general form of TV-Stokes models and provide an efficient and fast numerical algorithm based on the augmented Lagrangian method. The proposed model and numerical algorithm can be used for a number of applications such as image inpainting, image decomposition, surface reco...
| Main Authors: | , , |
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| Other Authors: | |
| Format: | Journal Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/95939 http://hdl.handle.net/10220/11434 |
| _version_ | 1826124563213189120 |
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| author | Tai, Xue Cheng Hahn, Jooyoung Wu, Chunlin |
| author2 | School of Physical and Mathematical Sciences |
| author_facet | School of Physical and Mathematical Sciences Tai, Xue Cheng Hahn, Jooyoung Wu, Chunlin |
| author_sort | Tai, Xue Cheng |
| collection | NTU |
| description | In this paper, we propose a general form of TV-Stokes models and provide an efficient and fast numerical algorithm based on the augmented Lagrangian method. The proposed model and numerical algorithm can be used for a number of applications such as image inpainting, image decomposition, surface reconstruction from sparse gradient, direction denoising, and image denoising. Comparing with properties of different norms in regularity term and fidelity term, various results are investigated in applications. We numerically show that the proposed model recovers jump discontinuities of a data and discontinuities of the data gradient while reducing stair-case effect. |
| first_indexed | 2024-10-01T06:22:21Z |
| format | Journal Article |
| id | ntu-10356/95939 |
| institution | Nanyang Technological University |
| language | English |
| last_indexed | 2024-10-01T06:22:21Z |
| publishDate | 2013 |
| record_format | dspace |
| spelling | ntu-10356/959392020-03-07T12:37:22Z Augmented Lagrangian method for generalized TV-stokes model Tai, Xue Cheng Hahn, Jooyoung Wu, Chunlin School of Physical and Mathematical Sciences In this paper, we propose a general form of TV-Stokes models and provide an efficient and fast numerical algorithm based on the augmented Lagrangian method. The proposed model and numerical algorithm can be used for a number of applications such as image inpainting, image decomposition, surface reconstruction from sparse gradient, direction denoising, and image denoising. Comparing with properties of different norms in regularity term and fidelity term, various results are investigated in applications. We numerically show that the proposed model recovers jump discontinuities of a data and discontinuities of the data gradient while reducing stair-case effect. 2013-07-15T07:02:57Z 2019-12-06T19:23:32Z 2013-07-15T07:02:57Z 2019-12-06T19:23:32Z 2011 2011 Journal Article Hahn, J., Wu, C., & Tai, X. C. (2012). Augmented Lagrangian Method for Generalized TV-Stokes Model. Journal of Scientific Computing, 50(2), 235-264. https://hdl.handle.net/10356/95939 http://hdl.handle.net/10220/11434 10.1007/s10915-011-9482-6 en Journal of scientific computing © 2011 Springer Science+Business Media, LLC. |
| spellingShingle | Tai, Xue Cheng Hahn, Jooyoung Wu, Chunlin Augmented Lagrangian method for generalized TV-stokes model |
| title | Augmented Lagrangian method for generalized TV-stokes model |
| title_full | Augmented Lagrangian method for generalized TV-stokes model |
| title_fullStr | Augmented Lagrangian method for generalized TV-stokes model |
| title_full_unstemmed | Augmented Lagrangian method for generalized TV-stokes model |
| title_short | Augmented Lagrangian method for generalized TV-stokes model |
| title_sort | augmented lagrangian method for generalized tv stokes model |
| url | https://hdl.handle.net/10356/95939 http://hdl.handle.net/10220/11434 |
| work_keys_str_mv | AT taixuecheng augmentedlagrangianmethodforgeneralizedtvstokesmodel AT hahnjooyoung augmentedlagrangianmethodforgeneralizedtvstokesmodel AT wuchunlin augmentedlagrangianmethodforgeneralizedtvstokesmodel |