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

Voir la notice de l'article dans Numdam

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
Mots-clés : Cheeger sets, Cheeger constant, total variation minimization, projections 
@article{M2AN_2009__43_1_139_0,
     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},
     zbl = {1161.65046},
     mrnumber = {2494797},
     language = {en},
     url = {https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2008040/}
}
TY  - JOUR
AU  - Carlier, Guillaume
AU  - Comte, Myriam
AU  - Peyré, Gabriel
TI  - Approximation of maximal Cheeger sets by projection
JO  - ESAIM: Mathematical Modelling and Numerical Analysis 
PY  - 2009
SP  - 139
EP  - 150
VL  - 43
IS  - 1
PB  - EDP-Sciences
UR  - https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2008040/
DO  - 10.1051/m2an/2008040
LA  - en
ID  - M2AN_2009__43_1_139_0
ER  - 
%0 Journal Article
%A Carlier, Guillaume
%A Comte, Myriam
%A Peyré, Gabriel
%T Approximation of maximal Cheeger sets by projection
%J ESAIM: Mathematical Modelling and Numerical Analysis 
%D 2009
%P 139-150
%V 43
%N 1
%I EDP-Sciences
%U https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2008040/
%R 10.1051/m2an/2008040
%G en
%F M2AN_2009__43_1_139_0
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. https://geodesic-test.mathdoc.fr/articles/10.1051/m2an/2008040/

Cité par Sources :