A variational approach to removing multiplicative noise

被引：500

作者：

Aubert, Gilles ^{[1
]}

Aujol, Jean-Francois ^{[2
]}

机构：

[1] Univ Nice Sophia Antipolis, UMR CNRS 6621, F-06108 Nice 2, France

[2] PRES UniverSud, CNRS, ENS Cachan, CMLA, F-94235 Cachan, France

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 2008年 / 68卷 / 04期

关键词：

calculus of variation; functional analysis; BV; variational approach; multiplicative noise; speckle noise; image restoration;

D O I：

10.1137/060671814

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：925 / 946

页数：22