Continuous limits of discrete perimeters

Antonin Chambolle (1) , Alessandro Giacomini (2) , Luca Lussardi (3)

1 CMAP - Centre de Mathématiques Appliquées - Ecole Polytechnique
2 Dipartimento di Matematica [Universita di Brescia]
3 Dipartimento di Matematica "Giuseppe Peano" [Torino]

We consider a class of discrete convex functionals which satisfy a (generalized) coarea formula, and study their limit in the continuum.

Mots clés: generalized coarea formula; total variation; anisotropic perimeter

Domaines: Analyse numérique [math.NA]

Antonin Chambolle, Alessandro Giacomini, Luca Lussardi. Continuous limits of discrete perimeters. 2009. ⟨hal-00360865⟩