Calculus of Variations and Geometric Measure Theory

M. Carriero - A. Leaci - F. Tomarelli

Free Gradient Discontinuity and Image Inpainting

created by leaci on 20 Dec 2010
modified by tomarelli on 09 May 2012


Published Paper

Inserted: 20 dec 2010
Last Updated: 9 may 2012

Journal: Zap. Nauchn. Sem. S.-Peterburg Otdel. Mat. Inst. Steklov
Volume: 390
Pages: 92 - 116
Year: 2011


We introduce and study a formulation of inpainting problem for 2-dimensional images which 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.

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