A PDE variational approach to image denoising and restoration

被引：57

作者：

Barbu, Tudor ^{[2
]}

Barbu, Viorel ^{[1
]}

Biga, Veronica ^{[3
]}

Coca, Daniel ^{[3
]}

机构：

[1] Alexandru Ioan Cuza Univ, Inst Math Octav Mayer, Romanian Acad, Iasi, Romania

[2] Acad Romana, Inst Comp Sci, Iasi, Romania

[3] Univ Sheffield, Dept Automat Control & Syst Engn, Sheffield S10 2TN, S Yorkshire, England

来源：

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS | 2009年 / 10卷 / 03期

基金：

英国工程与自然科学研究理事会;

关键词：

Image restoration; Convex functions; Sobolev space; Nonlinear diffusion; NONLINEAR DIFFUSION; EDGE-DETECTION; SPACE;

D O I：

10.1016/j.nonrwa.2008.01.017

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we discuss a general variational model for image restoration based on the minimization of a convex functional of gradient under minimal growth conditions. This approach is related to minimization in bounded variation norm and has a smoothing effect on degraded image while preserving the edge features. (C) 2008 Elsevier Ltd. All rights reserved.

引用

页码：1351 / 1361

页数：11

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