A Nonlinear Fractional Partial Differential Equation for Image Denoising

EasyChair Preprint 6045

Abstract

The image denoising is a key step in image processing. This step can be treated by nonlinear diffusive filters requiring solving evolving partial differential equations. In this work we propose a nonlinear evolving partial differential equation with spatial fractional derivatives in order to improve the denoising capability and to extend some existing results in image denoising. The discretization of the fractional partial differential equation of the proposed model is performed using the shifted Grünwald-Letnikov formula useful for constructing stable numerical schemes. The comparative analysis shows that the proposed model produces better or comparable quality of enhanced image than various well know and state of art techniques as well as several image analysis techniques.

Keyphrases: Fractional-order partial differential equation, Image denoising, fractional derivative, image processing, nonlinear diffusion

@booklet{EasyChair:6045,
  author    = {Omar Gouasnouane and Noureddine Moussaid and Soumaya Boujena},
  title     = {A Nonlinear Fractional Partial Differential Equation for Image Denoising},
  howpublished = {EasyChair Preprint 6045},
  year      = {EasyChair, 2021}}