On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation (CROSBI ID 289071)
Prilog u časopisu | izvorni znanstveni rad | međunarodna recenzija
Podaci o odgovornosti
Brkić, Antun Lovro ; Mitrović, Darko ; Novak, Andrej
engleski
On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation
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.
Fractional calculus ; Image inpainting ; Partial differential equations
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
nije evidentirano
Podaci o izdanju
25
2020.
67-76
objavljeno
2090-1232
2090-1224
10.1016/j.jare.2020.04.015
Povezanost rada
Fizika, Matematika, Računarstvo