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Approximation of maximal Cheeger sets by projection

Published online by Cambridge University Press:  16 October 2008

Guillaume Carlier
Affiliation:
CEREMADE, Université Paris Dauphine, France. [email protected]; [email protected]
Myriam Comte
Affiliation:
Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, France. [email protected]
Gabriel Peyré
Affiliation:
CEREMADE, Université Paris Dauphine, France. [email protected]; [email protected]
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Abstract

This article deals with the numerical computation of the Cheeger constant and the approximation of the maximal Cheeger set of a given subset of ${\mathbb R}^d$ . This problem is motivated by landslide modelling as well as by the continuous maximal flow problem. Using the fact that the maximal Cheeger set can be approximated by solving a rather simple projection problem, we propose a numerical strategy to compute maximal Cheeger sets and Cheeger constants.

Type
Research Article
Copyright
© EDP Sciences, SMAI, 2008

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