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MIRAGE
2007
Springer

A Note on the Discrete Binary Mumford-Shah Model

12 years 9 months ago
A Note on the Discrete Binary Mumford-Shah Model
Abstract. This paper is concerned itself with the analysis of the twophase Mumford-Shah model also known as the active contour without edges model introduced by Chan and Vese. It consists of approximating an observed image by a piecewise constant image which can take only two values. First we show that this model with the L1 -norm as data fidelity yields a contrast invariant filter which is a well known property of morphological filters. Then we consider a discrete version of the original problem. We show that an inclusion property holds for the minimizers. The latter is used to design an efficient graph-cut based algorithm which computes an exact minimizer. Some preliminary results are presented.
Jérôme Darbon
Added 08 Jun 2010
Updated 08 Jun 2010
Type Conference
Year 2007
Where MIRAGE
Authors Jérôme Darbon
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