Volume 29, Issue 4, 2020


DOI: 10.24205/03276716.2020.863

Convergence and Stability of a Fractional Differential System in Image Processing


Abstract
The Perona-Malik differential equation (PMDE) is an important model in image processing. In this paper, we present a numerical scheme for the fractional form of anisotropic nonlinear PMDE with initial-boundary conditions. The stability and convergence of this scheme is verified. Finally, some numerical experiments are given for denoising, enhancing and blurring the images.

Keywords
Fractional system, Perona-Malik equation, convergence, stability, image processing

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