A new difference of anisotropic and isotropic total variation regularization method for image restoration

被引：2

作者：

Zhang, Benxin ^{[1
]}

Wang, Xiaolong ^{[1
]}

Li, Yi ^{[1
]}

Zhu, Zhibin ^{[2
]}

机构：

[1] Guilin Univ Elect Technol, Sch Elect Engn & Automat, Guilin 541004, Peoples R China

[2] Guilin Univ Elect Technol, Sch Math & Comp Sci, Guilin 541004, Peoples R China

来源：

MATHEMATICAL BIOSCIENCES AND ENGINEERING | 2023年 / 20卷 / 08期

基金：

中国国家自然科学基金;

关键词：

image restoration; TV; Fischer -Burmeister function; DCA; ADMM; WEIGHTED DIFFERENCE; ALGORITHM; RECONSTRUCTION; MINIMIZATION; COLOR;

D O I：

10.3934/mbe.2023661

中图分类号：

Q [生物科学];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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 FischerBurmeister 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 stateof-the-art methods.

引用

页码：14777 / 14792

页数：16

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