D. Mumford and J. Shah, Optimal approximations by piecewise smooth functions and associated variationnal problems, Communications on Pure and Applied Mathematics, XLVII, issue.5, pp.577-685, 1989.
DOI : 10.1002/cpa.3160420503

URL : http://nrs.harvard.edu/urn-3:HUL.InstRepos:3637121

G. Alberti, S. Baldo, and G. Orlandi, Variational convergence for functionals of Ginzburg-Landau type, Indiana University Mathematics Journal, vol.54, issue.5, pp.1411-1472, 2005.
DOI : 10.1512/iumj.2005.54.2601

F. Ghiraldin, Variational approximation of a functional of Mumford???Shah type in codimension higher than one, ESAIM: Control, Optimisation and Calculus of Variations, vol.20, issue.1, 2013.
DOI : 10.1051/cocv/2013061

D. Vicente, Anisotropic Minkowski content and application to minimizers of free discontinuity problems, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01222602

L. Ambrosio and V. M. Tortorelli, Approximation of functional depending on jumps by elliptic functional via t-convergence, Communications on Pure and Applied Mathematics, vol.17, issue.8, pp.999-1036, 1990.
DOI : 10.1002/cpa.3160430805

L. Ambrosio, N. Fusco, and D. Pallara, Free Discontinuity Problems and Special Functions with Bounded Variation, 2000.
DOI : 10.1007/978-3-0348-8974-2_2

L. Ambrosio, A compactness theorem for a new class of functions of bounded variation, Bollettino U.M.I, pp.3-8857, 1989.

C. Goffman and J. Serrin, Sublinear functions of measures and variational integrals, Duke Mathematical Journal, vol.31, issue.1, 1964.
DOI : 10.1215/S0012-7094-64-03115-1

G. and D. Maso, Integral representation on bounded variation spaces of ?-limits of variational integrals, Manuscripta Mathematica, 1980.

G. Bellettini, M. Paolini, and S. Venturini, Some results on surface measures in calculus of variations, Annali di matematica pura ed applicata (IV), CLXX, pp.329-359, 1996.
DOI : 10.1007/BF01758994