Inserted: 10 may 2012
Last Updated: 8 feb 2013
Journal: J. Math. Sci. (N.Y.)
Pages: 805 - 819
From: Zap. Nauchn. Sem. S.-Peterburg Otdel. Mat. Inst. Steklov, Vol.390 (2011), 92 - 116.
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.