An adaptive Cahn-Hilliard equation for enhanced edges in binary image inpainting

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.

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Official URL: http://dx.doi.org/10.1177/1748302620941430

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
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:	Publisher
URI:	https://livrepository.liverpool.ac.uk/id/eprint/3102505