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.
A scheme for the game p-Laplacian and its application to image inpainting / Carlini E.; Tozza S.. - In: APPLIED MATHEMATICS AND COMPUTATION. - ISSN 0096-3003. - STAMPA. - 461:(2024), pp. 128299.1-128299.10. [10.1016/j.amc.2023.128299]
A scheme for the game p-Laplacian and its application to image inpainting
Tozza S.
2024
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.| File | Dimensione | Formato | |
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CT_AMC_accepted_version_revised_jul2023.pdf
embargo fino al 02/09/2024
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