Theljani, Anis, Houichet, Hamdi and Mohamed, Anis
(2020)
An adaptive Cahn-Hilliard equation for enhanced edges in binary image inpainting.
Journal of Algorithms & Computational Technology, 14.
p. 174830262094143.
Text
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Abstract
<jats:p> We consider the Cahn-Hilliard equation for solving the binary image inpainting problem with emphasis on the recovery of low-order sets (edges, corners) and enhanced edges. The model consists in solving a modified Cahn-Hilliard equation by weighting the diffusion operator with a function which will be selected locally and adaptively. The diffusivity selection is dynamically adopted at the discrete level using the residual error indicator. We combine the adaptive approach with a standard mesh adaptation technique in order to well approximate and recover the singular set of the solution. We give some numerical examples and comparisons with the classical Cahn-Hillard equation for different scenarios. The numerical results illustrate the effectiveness of the proposed model. </jats:p>
Item Type: | Article |
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Depositing User: | Symplectic Admin |
Date Deposited: | 25 Sep 2020 08:35 |
Last Modified: | 18 Jan 2023 23:31 |
DOI: | 10.1177/1748302620941430 |
Open Access URL: | http://doi.org/10.1177/1748302620941430 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/3102505 |