A scheme for the game p-Laplacian and its application to image inpainting

Elisabetta Carlini and Silvia Tozza

Applied Mathematics and Computation, 2024, vol. 461, issue C

Abstract: We propose a new numerical scheme for the game p-Laplacian, based on a semi-Lagrangian approximation. We focus on the 2D version of the game p-Laplacian, with the aim to apply the new scheme in the context of image processing. Specifically, we want to solve the so-called inpainting problem, which consists in reconstructing one or more missing parts of an image using information taken from the known part. The numerical tests show the reliability of the proposed method and the advantages of taking a p>1 in terms of execution time and accuracy.

Keywords: Game p-Laplacian; Semi-Lagrangian scheme; Inpainting; Viscosity solution (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:461:y:2024:i:c:s009630032300468x

DOI: 10.1016/j.amc.2023.128299

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