Total variation with nonlocal FT-Laplacian for patch-based inpainting

Abstract

We consider the problem of inpainting for relatively large damaged areas where the best-known results are achieved using patches. We stem from the ROF-type model. We propose a new ROF model with nonlocal operators and modify it with the F-transform-based operators. As a result, the minimization is considered over a searching space restricted to a finite set of possible reconstructions; each of them is a result of a patch-based inpainting. The fidelity term in the proposed ROF model is estimated by the norm in a Sobolev-like space, which increases the overall quality of reconstruction.