On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation

Autor: Antun Lovro Brkić, Darko Mitrović, Andrej Novak
Jazyk: angličtina
Rok vydání: 2020
Předmět:
Zdroj: Journal of Advanced Research, Vol 25, Iss , Pp 67-76 (2020)
Druh dokumentu: article
ISSN: 2090-1232
DOI: 10.1016/j.jare.2020.04.015
Popis: Motivated by the fact that the fractional Laplacean generates a wider choice of the interpolation curves than the Laplacean or bi-Laplacean, we propose a new non-local partial differential equation inspired by the Cahn-Hilliard model for recovering damaged parts of an image. We also note that our model is linear and that the computational costs are lower than those for the standard Cahn-Hilliard equation, while the inpainting results remain of high quality. We develop a numerical scheme for solving the resulting equations and provide an example of inpainting showing the potential of our method.
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