On some new non-linear diffusion models for the image filtering

被引：23

作者：

Alaoui, Mohammed Kbiri ^{[1
]}

Nabil, Tamer ^{[1
,2
]}

Altanji, Mohamed ^{[1
]}

机构：

[1] King Khalid Univ, Dept Math, Abha, Saudi Arabia

[2] Suez Canal Univ, Fac Comp & Informat, Basic Sci Dept, Ismailia, Egypt

来源：

APPLICABLE ANALYSIS | 2014年 / 93卷 / 02期

关键词：

Musielak-Orlicz spaces; non-linear diffusion models; image filtering; 35K61; 35K65; 65N06; PARABOLIC EQUATIONS; RESTORATION; DOMAIN;

D O I：

10.1080/00036811.2013.769132

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The paper deals with some new non-linear diffusion models, involving very general growth condition with respect to del u, for the image filtering in the framework of Orlicz-Musielak spaces. We prove the existence of a solution in BV which is an adequate space for image processing tasks. The experimental results focus on giving a comparison with two Perona-Malik models.

引用

页码：269 / 280

页数：12

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