A new difference of anisotropic and isotropic total variation regularization method for image restoration
Total variation (TV) regularizer has diffusely emerged in image processing. In this paper, we propose a new nonconvex total variation regularization method based on the generalized Fischer-Burmeister function for image restoration. Since our model is nonconvex and nonsmooth, the specific difference...
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| Format: | Article |
| Language: | English |
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AIMS Press
2023-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2023661?viewType=HTML |
| _version_ | 1797749211938160640 |
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| author | Benxin Zhang Xiaolong Wang Yi Li Zhibin Zhu |
| author_facet | Benxin Zhang Xiaolong Wang Yi Li Zhibin Zhu |
| author_sort | Benxin Zhang |
| collection | DOAJ |
| description | Total variation (TV) regularizer has diffusely emerged in image processing. In this paper, we propose a new nonconvex total variation regularization method based on the generalized Fischer-Burmeister function for image restoration. Since our model is nonconvex and nonsmooth, the specific difference of convex algorithms (DCA) are presented, in which the subproblem can be minimized by the alternating direction method of multipliers (ADMM). The algorithms have a low computational complexity in each iteration. Experiment results including image denoising and magnetic resonance imaging demonstrate that the proposed models produce more preferable results compared with state-of-the-art methods. |
| first_indexed | 2024-03-12T16:16:59Z |
| format | Article |
| id | doaj.art-f291b06f552f4702ad66579777825423 |
| institution | Directory Open Access Journal |
| issn | 1551-0018 |
| language | English |
| last_indexed | 2024-03-12T16:16:59Z |
| publishDate | 2023-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj.art-f291b06f552f4702ad665797778254232023-08-09T01:10:24ZengAIMS PressMathematical Biosciences and Engineering1551-00182023-07-01208147771479210.3934/mbe.2023661A new difference of anisotropic and isotropic total variation regularization method for image restorationBenxin Zhang0Xiaolong Wang1Yi Li2Zhibin Zhu31. School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, China1. School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, China1. School of Electronic Engineering and Automation, Guilin University of Electronic Technology, Guilin 541004, China2. School of Mathematics and Computing Science, Guilin University of Electronic Technology, Guilin 541004, ChinaTotal variation (TV) regularizer has diffusely emerged in image processing. In this paper, we propose a new nonconvex total variation regularization method based on the generalized Fischer-Burmeister function for image restoration. Since our model is nonconvex and nonsmooth, the specific difference of convex algorithms (DCA) are presented, in which the subproblem can be minimized by the alternating direction method of multipliers (ADMM). The algorithms have a low computational complexity in each iteration. Experiment results including image denoising and magnetic resonance imaging demonstrate that the proposed models produce more preferable results compared with state-of-the-art methods.https://www.aimspress.com/article/doi/10.3934/mbe.2023661?viewType=HTMLimage restorationtvfischer-burmeister functiondcaadmm |
| spellingShingle | Benxin Zhang Xiaolong Wang Yi Li Zhibin Zhu A new difference of anisotropic and isotropic total variation regularization method for image restoration Mathematical Biosciences and Engineering image restoration tv fischer-burmeister function dca admm |
| title | A new difference of anisotropic and isotropic total variation regularization method for image restoration |
| title_full | A new difference of anisotropic and isotropic total variation regularization method for image restoration |
| title_fullStr | A new difference of anisotropic and isotropic total variation regularization method for image restoration |
| title_full_unstemmed | A new difference of anisotropic and isotropic total variation regularization method for image restoration |
| title_short | A new difference of anisotropic and isotropic total variation regularization method for image restoration |
| title_sort | new difference of anisotropic and isotropic total variation regularization method for image restoration |
| topic | image restoration tv fischer-burmeister function dca admm |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2023661?viewType=HTML |
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