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  • On the image inpainting pro...
    Brkić, Antun Lovro; Mitrović, Darko; Novak, Andrej

    Journal of Advanced Research, 09/2020, Letnik: 25
    Journal Article

    Display omitted •Investigation of stationary linear fractional differential equations as inpainting tools.•Physical motivation for introducing PDF inpainting tools and fractional generalizations.•Development of fast numerical algorithms for the inpainting problem.•Systematic comparison with the integer order equations. 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.