A PDE variational approach to image denoising and restoration

被引：56
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
收藏
页码：1351 / 1361
页数：11
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