Geodesic
Approximation of maximal Cheeger sets by projection
ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 1, pp. 139-150

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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 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.

DOI : 10.1051/m2an/2008040
Classification : 49Q10, 65K10
Keywords: Cheeger sets, Cheeger constant, total variation minimization, projections 
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     author = {Carlier, Guillaume and Comte, Myriam and Peyr\'e, Gabriel},
     title = {Approximation of maximal {Cheeger} sets by projection},
     journal = {ESAIM: Mathematical Modelling and Numerical Analysis },
     pages = {139--150},
     publisher = {EDP-Sciences},
     volume = {43},
     number = {1},
     year = {2009},
     doi = {10.1051/m2an/2008040},
     mrnumber = {2494797},
     zbl = {1161.65046},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.1051/m2an/2008040/}
}
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Carlier, Guillaume; Comte, Myriam; Peyré, Gabriel. Approximation of maximal Cheeger sets by projection. ESAIM: Mathematical Modelling and Numerical Analysis , Tome 43 (2009) no. 1, pp. 139-150. doi: 10.1051/m2an/2008040

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