Reaction-diffusion systems with p(x)-growth for image denoising

被引：58

作者：

Guo, Zhichang ^{[1
]}

Liu, Qiang ^{[2
]}

Sun, Jiebao ^{[1
]}

Wu, Boying ^{[1
]}

机构：

[1] Harbin Inst Technol, Dept Math, Harbin 150001, Peoples R China

[2] Shenzhen Univ, Coll Math & Computat Sci, Shenzhen 518060, Peoples R China

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2011年 / 12卷 / 05期

关键词：

Image denoising; Reaction-diffusion system; Orlicz-Sobolev space; Galerkin's method;

D O I：

10.1016/j.nonrwa.2011.04.015

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

A new anisotropic diffusion model is proposed for image denoising, which is based on reaction-diffusion systems with p(x)-growth. By Galerkin's method, we establish the existence and uniqueness of weak solutions of the system for Neumann boundary conditions. Experimental results illustrate the effectiveness of the model in image restoration. (c) 2011 Elsevier Ltd. All rights reserved.

引用

页码：2904 / 2918

页数：15

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