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2013 A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal
Gang Dong, Zhichang Guo, Boying Wu
Abstr. Appl. Anal. 2013(SI01): 1-21 (2013). DOI: 10.1155/2013/912373

Abstract

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.

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Gang Dong. Zhichang Guo. Boying Wu. "A Convex Adaptive Total Variation Model Based on the Gray Level Indicator for Multiplicative Noise Removal." Abstr. Appl. Anal. 2013 (SI01) 1 - 21, 2013. https://doi.org/10.1155/2013/912373

Information

Published: 2013
First available in Project Euclid: 26 February 2014

zbMATH: 07095482
MathSciNet: MR3064524
Digital Object Identifier: 10.1155/2013/912373

Rights: Copyright © 2013 Hindawi

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Vol.2013 • No. SI01 • 2013
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