Image restoration using a reaction-diffusion process

Abstract

This study shows how partial differential equations can be employed to restore a digital image. It is in fact a generalization of the work presented by Catte [12], which modify the Perona-Malik Model by nonlinear diffusion. We give a demonstration of the consistency of the reaction-diffusion model proposed in our work.

Keywords

• Degenerate elliptic systems
• quasilinear
• chemotaxis
• angiogenesis
• weak solutions