Calculus of Variations and Geometric Measure Theory

M. Carriero - A. Leaci - F. Tomarelli

Free gradient discontinuity and image segmentation

created by tomarelli on 10 May 2012
modified on 08 Feb 2013


Published Paper

Inserted: 10 may 2012
Last Updated: 8 feb 2013

Journal: J. Math. Sci. (N.Y.)
Volume: 181
Number: 6
Pages: 805 - 819
Year: 2012

From: Zap. Nauchn. Sem. S.-Peterburg Otdel. Mat. Inst. Steklov, Vol.390 (2011), 92 - 116.

Links: published online


We introduce and study a formulation of the inpainting problem for two-dimensional images that are locally damaged. This formulation is based on the regularization of the solution of a second-order variational problem with Dirichlet boundary condition. A variational approximation algorithm is proposed.