Calculus of Variations and Geometric Measure Theory

M. Carriero - A. Leaci - F. Tomarelli

Image inpainting via variational approximation of a Dirichlet problem with free discontinuity

created by leaci on 12 May 2013


Published Paper

Inserted: 12 may 2013
Last Updated: 12 may 2013

Journal: Adv. Calc.Var.
Year: 2013
Doi: 10.1515/acv-2012-0020

on line April, 6

Links: Journal site


We study the variational approximation of an inpainting model for 2-dimensional images which are locally damaged.

The scheme provides $\Gamma$-convergence of elliptic functionals to a Dirichlet problem with free discontinuity and free gradient discontinuity.

Keywords: calculus of variations, free discontinuity problems, Image segmentation and inpainting