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| HAL : hal-00359736, version 1 |
| Fiche détaillée |  Récupérer au format |
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| ESAIM: Mathematical Modelling and Numerical Analysis 43, 1 (2009) 139-150 |
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| Approximation of Maximal Cheeger Sets by Projection |
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| Guillaume Carlier 1Myriam Comte 2 |
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| (01/2009) |
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| This article deals with the numerical computation of the Cheeger constant and the approximation of the maximal Cheeger set of a given subset of Rd . 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 pro jection problem, we propose a numerical strategy to compute maximal Cheeger sets and Cheeger constants. |
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| 1 : | CEntre de REcherches en MAthématiques de la DEcision (CEREMADE) |
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CNRS : UMR7534 – Université Paris IX - Paris Dauphine |
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| 2 : | Laboratoire Jacques-Louis Lions (LJLL) |
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CNRS : UMR7598 – Université Pierre et Marie Curie [UPMC] - Paris VI |
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| Domaine | : | Informatique/Traitement du signal et de l'image Sciences de l'ingénieur/Traitement du signal et de l'image |
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| Cheeger sets – Cheeger constant – total variation minimiza- tion – projections |
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| Liste des fichiers attachés à ce document : | |||||
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| hal-00359736, version 1 | |
| http://hal.archives-ouvertes.fr/hal-00359736 | |
| oai:hal.archives-ouvertes.fr:hal-00359736 | |
| Contributeur : Gabriel Peyré | |
| Soumis le : Lundi 9 Février 2009, 11:51:12 | |
| Dernière modification le : Mardi 10 Février 2009, 08:18:46 | |
