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A Nonlocal Image Inpainting Problem Using the Linear Allen–Cahn Equation

Antun Lovro Brkić,Andrej Novak

ADVANCES IN NON-INTEGER ORDER CALCULUS AND ITS APPLICATIONS（2020）

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Abstract
Digital image inpainting problem deal with the interpolation of the damaged or missing regions of the image. In this paper we study the effect of the nonlocal image inpainting with respect to the local models and aim to demonstrate that linear fractional equations produce natural images, comparable to the ones obtained by the nonlinear equations. Simulations are obtained by the implementation of the finite difference method.
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Key words
Image inpainting,PDE,Allen–Cahn equation
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