The Perona-Malik inequality and application to image denoising

被引：20

作者：

Atlas, A. ^{[1
]}

Karami, F. ^{[2
]}

Meskine, D. ^{[2
]}

机构：

[1] Univ Cadi Ayyad, Ecole Natl Sci Appl Safi, Safi, Morocco

[2] Univ Cadi Ayyad, Ecole Super Technol Essaouira, Essaouira, Morocco

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2014年 / 18卷

关键词：

Mathematical operators;

D O I：

10.1016/j.nonrwa.2013.11.006

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper deals with the mathematical and numerical study of a variational model of the image denoising equation derived from the Perona-Malik equation. The diffusion resulting from the proposed model is a combination of the Perona-Malik and p-Laplacian operators. The existence and uniqueness of the asymptotic behavior as p -> infinity of the proposed model are established. We also give some numerical implementation details and show experimental results on examples images which prove the efficiency and effectiveness of our model. (C) 2014 Published by Elsevier Ltd.

引用

页码：57 / 68

页数：12

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