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

被引：1

作者：

Carlini, Elisabetta ^{[1
]}

Tozza, Silvia ^{[2
]}

机构：

[1] Sapienza Univ Rome, Dept Math, Ple Aldo Moro 5, I-00185 Rome, Italy

[2] Univ Bologna, Dept Math, Alma Mater Studiorum, Piazza Porta S Donato 5, I-40126 Bologna, Italy

来源：

APPLIED MATHEMATICS AND COMPUTATION | 2024年 / 461卷

关键词：

Game p-Laplacian; Semi-Lagrangian scheme; Inpainting; Viscosity solution; TUG-OF-WAR; VISCOSITY SOLUTIONS;

D O I：

10.1016/j.amc.2023.128299

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：10

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