On a coupled PDE model for image restoration

Abstract

In this paper, we consider a new coupled PDE model for image restoration. Both the image and the edge variables are incorporated by coupling them into two different PDEs. It is shown that the initial-boundary value problem has global in time dissipative solutions (in a sense going back to P.-L. Lions), and several properties of these solutions are established. This is a rough draft, and the final version of the paper will contain a modelling part and numerical experiments.

References in corpus (1)

• Global generalized solutions for Maxwell-alpha and Euler-alpha equations

Cited by in corpus (3)

• On Convergent Finite Difference Schemes for Variational - PDE Based Image Processing
• Adaptive diffusion constrained total variation scheme with application to `cartoon + texture + edge' image decomposition
• Analysis and Simulation of a Coupled Diffusion based Image Denoising Model