| Issue |
ESAIM: M2AN
Volume 43, Number 1, January-February 2009
|
|
|---|---|---|
| Page(s) | 139 - 150 | |
| DOI | https://doi.org/10.1051/m2an/2008040 | |
| Published online | 16 October 2008 | |
Approximation of maximal Cheeger sets by projection
1
CEREMADE, Université Paris Dauphine, France.
carlier@ceremade.dauphine.fr; peyre@ceremade.dauphine.fr
2
Laboratoire Jacques-Louis Lions, Université Pierre et Marie Curie, France. comte@ann.jussieu.fr
Received:
14
January
2008
Revised:
2
July
2008
This article deals with the numerical computation of the Cheeger constant and the approximation of the maximal Cheeger set of a given subset of
. 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.
Mathematics Subject Classification: 49Q10 / 65K10
Key words: Cheeger sets / Cheeger constant / total variation minimization / projections.
© EDP Sciences, SMAI, 2008
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