A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal

A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal

This paper focuses on the problem of multiplicative noise removal. Using a gray level indicator, we derive a new functional which consists of the adaptive total variation term and the global convex fidelity term. We prove the existence, uniqueness, and comparison principle of the minimizer for the v...

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Main Authors: Gang Dong, Zhichang Guo, Boying Wu
Format: Article
Language:English
Published: Hindawi Limited 2013-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2013/912373
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spelling doaj-470bacdc16dc489b8dfefbfde8c1df912020-11-24T22:49:13ZengHindawi LimitedAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/912373912373A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise RemovalGang Dong0Zhichang Guo1Boying Wu2Department of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaDepartment of Mathematics, Harbin Institute of Technology, Harbin 150001, ChinaThis paper focuses on the problem of multiplicative noise removal. Using a gray level indicator, we derive a new functional which consists of the adaptive total variation term and the global convex fidelity term. We prove the existence, uniqueness, and comparison principle of the minimizer for the variational problem. The existence, uniqueness, and long-time behavior of the associated evolution equation are established. Finally, experimental results illustrate the effectiveness of the model in multiplicative noise reduction. Different from the other methods, the parameters in the proposed algorithms are found dynamically.http://dx.doi.org/10.1155/2013/912373
collection DOAJ
language English
format Article
sources DOAJ
author Gang Dong
Zhichang Guo
Boying Wu
spellingShingle Gang Dong
Zhichang Guo
Boying Wu
A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal
Abstract and Applied Analysis
author_facet Gang Dong
Zhichang Guo
Boying Wu
author_sort Gang Dong
title A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal
title_short A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal
title_full A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal
title_fullStr A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal
title_full_unstemmed A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal
title_sort convex adaptive total variation model based on the gray level indicator for multiplicative noise removal
publisher Hindawi Limited
series Abstract and Applied Analysis
issn 1085-3375
1687-0409
publishDate 2013-01-01
description This paper focuses on the problem of multiplicative noise removal. Using a gray level indicator, we derive a new functional which consists of the adaptive total variation term and the global convex fidelity term. We prove the existence, uniqueness, and comparison principle of the minimizer for the variational problem. The existence, uniqueness, and long-time behavior of the associated evolution equation are established. Finally, experimental results illustrate the effectiveness of the model in multiplicative noise reduction. Different from the other methods, the parameters in the proposed algorithms are found dynamically.
url http://dx.doi.org/10.1155/2013/912373
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