Nonlinear multigrid method for solving the LLT model

被引：10
|
作者：
Zhang, Jun [1 ]
Yang, Yu-Fei [2 ]
机构：
[1] Hunan Univ, Coll Math & Econometr, Changsha 410082, Hunan, Peoples R China
[2] Changsha Univ, Dept Informat & Comp Sci, Changsha 410003, Hunan, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2013年 / 219卷 / 10期
关键词：
Image denoising; Dual algorithm; LLT model; Local Fourier analysis; Nonlinear multigrid method; PARTIAL-DIFFERENTIAL-EQUATIONS; TOTAL VARIATION MINIMIZATION; IMAGE; ALGORITHM;
D O I：
10.1016/j.amc.2012.11.060
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our goal in this paper is to study a nonlinear multigrid method for solving the LLT model. In order to improve the convergence rate of the proposed multigrid method, an improved dual iteration is proposed as its smoother. Furthermore, we give the local Fourier analysis (LFAs) of the Chambolle's dual iterations and a modified smoother for solving the LLT model, respectively. Numerical results illustrate the efficiency of the proposed method and indicate that such a multigrid method is more suitable to deal with large-sized images. (C) 2012 Elsevier Inc. All rights reserved.
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页码：4964 / 4976
页数：13
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