Free gradient discontinuity and image inpainting (Q1762539)

From the authors' abstract/introduction: ``In image restoration, the term `inpainting' denotes the process of filling the missing information in subdomains where a given image is damaged: these domains may correspond to scratches in a camera picture, occlusion by objects, blotches in an old movie film, or aging of the canvas and colors in a painting. In this paper, we face the inpainting problem for a monochromatic image with a variational approach: solving a Dirichlet-type problem for the main part of the Blake-Zisserman functional. So 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.''