A Fractional Image Inpainting Model Using a Variant of Mumford-Shah Model

Autor:	Halim, Abdul, Rohim, Abdur, Kumar, B. V. Rathish, Saha, Ripan
Rok vydání:	2022
Předmět:	Mathematics - Numerical Analysis
Druh dokumentu:	Working Paper
Popis:	In this paper, we propose a fourth order PDE model for image inpainting based on a variant of the famous Mumford-Shah (MS) image segmentation model. Convexity splitting is used to discrtised the time and we replace the Laplacian by its fractional counterpart in the time discretised scheme. Fourier spectral method is used for space discretization. Consistency, stability and convergence of the time discretised model has been carried out. The model is tested on some standard test images and compared them with the result of some models existed in the literature. Comment: 19 pages
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2208.01887 Zobrazit plný text záznamu View this record from Arxiv