On a coupled PDE model for image restoration
Analysis of PDEs
2012-10-23 v1
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.
Cite
@article{arxiv.1112.2904,
title = {On a coupled PDE model for image restoration},
author = {V. B. Surya Prasath and Dmitry Vorotnikov},
journal= {arXiv preprint arXiv:1112.2904},
year = {2012}
}