A Variational Approach to Removing Multiplicative Noise

This paper focuses on the problem of multiplicative noise removal. We draw our inspiration from the modeling of speckle noise. By using a MAP estimator, we can derive a functional whose minimizer corresponds to the denoised image we want to recover. Although the functional is not convex, we prove th...

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Bibliographic Details
Published inSIAM journal on applied mathematics Vol. 68; no. 4; pp. 925 - 946
Main Authors Aubert, Gilles, Aujol, Jean-François
Format Journal Article
LanguageEnglish
Published Philadelphia Society for Industrial and Applied Mathematics 01.01.2008
Subjects
Algorithms
Applied mathematics
Estimators
Euler Lagrange equation
Evolution equations
Imaging
Mathematical functions
Mathematics
Noise
Random variables
Signal noise
Standard deviation
Uniqueness
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Summary:This paper focuses on the problem of multiplicative noise removal. We draw our inspiration from the modeling of speckle noise. By using a MAP estimator, we can derive a functional whose minimizer corresponds to the denoised image we want to recover. Although the functional is not convex, we prove the existence of a minimizer and we show the capability of our model on some numerical examples. We study the associated evolution problem, for which we derive existence and uniqueness results for the solution. We prove the convergence of an implicit scheme to compute the solution.
Bibliography:ObjectType-Article-1
SourceType-Scholarly Journals-1
content type line 14
ISSN:0036-1399
1095-712X
DOI:10.1137/060671814