Image restoration combining a total variational filter and a fourth-order filter

被引：188

作者：

Li, Fang ^{[1
]}

Shen, Chaomin

Fan, Jingsong

Shen, Chunli

机构：

[1] E China Normal Univ, Dept Math, Shanghai 200062, Peoples R China

[2] E China Normal Univ, Joint Lab Imaging Sci & Technol, Shanghai 200062, Peoples R China

[3] E China Normal Univ, Dept Comp Sci, Shanghai 200062, Peoples R China

来源：

JOURNAL OF VISUAL COMMUNICATION AND IMAGE REPRESENTATION | 2007年 / 18卷 / 04期

基金：

中国国家自然科学基金;

关键词：

image restoration; total variation; fourth-order filter; BV space; BV2; space;

D O I：

10.1016/j.jvcir.2007.04.005

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

In this paper, a noise removal algorithm based on variational method and partial differential equations (PDEs) is proposed. It combines a total variational filter (ROF filter) with a fourth-order PDE filter (LLT filter). The combined algorithm takes the advantage of both filters since it is able to preserve edges while avoiding the staircase effect in smooth regions. The existence and uniqueness of a solution to the minimization problem is established. Experimental results illustrate the effectiveness of the model in image restoration. (c) 2007 Elsevier Inc. All rights reserved.

引用

页码：322 / 330

页数：9