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

Zhichang Guo; Qiang Liu; Jiebao Sun; Boying Wu

doi:10.1016/j.nonrwa.2011.04.015

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

Zhichang Guo^*
, Qiang Liu
, Jiebao Sun
, Boying Wu

^*Corresponding author for this work

School of Mathematics

Shenzhen University

Research output: Contribution to journal › Article › peer-review

71 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	2904-2918
Number of pages	15
Journal	Nonlinear Analysis: Real World Applications
Volume	12
Issue number	5
DOIs	https://doi.org/10.1016/j.nonrwa.2011.04.015
State	Published - Oct 2011

Keywords

Galerkin's method
Image denoising
OrliczSobolev space
Reaction-diffusion system

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10.1016/j.nonrwa.2011.04.015

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title = "Reaction-diffusion systems with p(x)-growth for image denoising",

abstract = "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.",

keywords = "Galerkin's method, Image denoising, OrliczSobolev space, Reaction-diffusion system",

author = "Zhichang Guo and Qiang Liu and Jiebao Sun and Boying Wu",

year = "2011",

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AU - Guo, Zhichang

AU - Liu, Qiang

AU - Sun, Jiebao

AU - Wu, Boying

PY - 2011/10

Y1 - 2011/10

N2 - 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.

AB - 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.

KW - Galerkin's method

KW - Image denoising

KW - OrliczSobolev space

KW - Reaction-diffusion system

UR - https://www.scopus.com/pages/publications/79957910890

U2 - 10.1016/j.nonrwa.2011.04.015

DO - 10.1016/j.nonrwa.2011.04.015

M3 - 文章

AN - SCOPUS:79957910890

SN - 1468-1218

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SP - 2904

EP - 2918

JO - Nonlinear Analysis: Real World Applications

JF - Nonlinear Analysis: Real World Applications

IS - 5

ER -

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

Abstract

Keywords

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