STABILITY OF FINITE DIFFERENCE SCHEMES FOR COMPLEX DIFFUSION PROCESSES

被引：18

作者：

Araujo, Aderito ^{[1
]}

Barbeiro, Silvia ^{[1
]}

Serranho, Pedro ^{[2
,3
]}

机构：

[1] Univ Coimbra, Dept Math, CMUC, P-3001454 Coimbra, Portugal

[2] Open Univ, Dept Sci & Technol, Math Sect, P-2740122 Oeiras, Portugal

[3] Univ Coimbra, Fac Med, IBILI, P-3000548 Coimbra, Portugal

来源：

SIAM JOURNAL ON NUMERICAL ANALYSIS | 2012年 / 50卷 / 03期

关键词：

finite differences; nonlinear complex diffusion; stability; IMAGE-ENHANCEMENT;

D O I：

10.1137/110825789

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we present a rigorous proof for the stability of a class of finite difference schemes applied to nonlinear complex diffusion equations. Complex diffusion is a common and broadly used denoising procedure in image processing. To illustrate the theoretical results we present some numerical examples based on an explicit scheme applied to a nonlinear equation in the context of image denoising.

引用

页码：1284 / 1296

页数：13

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