Convergence of fixed point iteration for deblurring and denoising problem

被引：4
|
作者：
Shi, Yuying [1 ]
Chang, Qianshun
Xu, Jing
机构：
[1] N China Elect Power Univ, Dept Math & Phys, Beijing 102206, Peoples R China
[2] Acad Math & Syst Sci, Inst Appl Math, Beijing 100080, Peoples R China
来源：
APPLIED MATHEMATICS AND COMPUTATION | 2007年 / 189卷 / 02期
关键词：
deblurring; denoising; fixed point iteration; Bergman distance; Weiszfeld's method;
D O I：
10.1016/j.amc.2006.12.004
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
To solve deblurring and denoising problem, we present a proof of the global and linear convergence of fixed point iteration, as well as an estimate for the rate of convergence is given. We show the equivalence among three different iterative methods: half-quadratic regularization, iteration based on Bergman distance, Weiszfeld's method. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：1178 / 1185
页数：8
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