Geometry of total variation regularized L^p-model
In this paper, the geometry and scale selection properties of the total variation (TV) regularized L^p-model are rigorously analyzed. Some intrinsic features different from the TV-L^1 model are derived and demonstrated. Numerical algorithms based on recent developed augmented Lagrangian methods are...
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sg-ntu-dr.10356-1071772019-12-06T22:26:03Z Geometry of total variation regularized L^p-model Tai, Xue Cheng Shi, Yuying Wang, Li-Lian School of Physical and Mathematical Sciences DRNTU::Science::Mathematics In this paper, the geometry and scale selection properties of the total variation (TV) regularized L^p-model are rigorously analyzed. Some intrinsic features different from the TV-L^1 model are derived and demonstrated. Numerical algorithms based on recent developed augmented Lagrangian methods are implemented and numerical results consistent with the theoretical results are provided. 2013-11-29T05:16:09Z 2019-12-06T22:26:03Z 2013-11-29T05:16:09Z 2019-12-06T22:26:03Z 2012 2012 Journal Article Shi, Y., Wang, L.-L., & Tai, X.-C. (2012). Geometry of total variation regularized -model. Journal of computational and applied mathematics, 236(8), 2223-2234. 0377-0427 https://hdl.handle.net/10356/107177 http://hdl.handle.net/10220/17917 http://dx.doi.org/10.1016/j.cam.2011.09.043 en Journal of computational and applied mathematics |
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DRNTU::Science::Mathematics Tai, Xue Cheng Shi, Yuying Wang, Li-Lian Geometry of total variation regularized L^p-model |
| description |
In this paper, the geometry and scale selection properties of the total variation (TV) regularized L^p-model are rigorously analyzed. Some intrinsic features different from the TV-L^1 model are derived and demonstrated. Numerical algorithms based on recent developed augmented Lagrangian methods are implemented and numerical results consistent with the theoretical results are provided. |
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School of Physical and Mathematical Sciences |
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School of Physical and Mathematical Sciences Tai, Xue Cheng Shi, Yuying Wang, Li-Lian |
| format |
Article |
| author |
Tai, Xue Cheng Shi, Yuying Wang, Li-Lian |
| author_sort |
Tai, Xue Cheng |
| title |
Geometry of total variation regularized L^p-model |
| title_short |
Geometry of total variation regularized L^p-model |
| title_full |
Geometry of total variation regularized L^p-model |
| title_fullStr |
Geometry of total variation regularized L^p-model |
| title_full_unstemmed |
Geometry of total variation regularized L^p-model |
| title_sort |
geometry of total variation regularized l^p-model |
| publishDate |
2013 |
| url |
https://hdl.handle.net/10356/107177 http://hdl.handle.net/10220/17917 http://dx.doi.org/10.1016/j.cam.2011.09.043 |
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