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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

Brkić, Antun Lovro ; Mitrović, Darko ; Novak, Andrej On the image inpainting problem from the viewpoint of a nonlocal Cahn-Hilliard type equation // Journal of advanced research, 25 (2020), 67-76. doi: 10.1016/j.jare.2020.04.015

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

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Podaci o izdanju

25

2020.

67-76

objavljeno

2090-1232

2090-1224

10.1016/j.jare.2020.04.015

Povezanost rada

Fizika, Matematika, Računarstvo

Poveznice
Indeksiranost