A P ] 1 3 D ec 2 01 1 ON A COUPLED PDE MODEL FOR IMAGE RESTORATION

@inproceedings{Prasath2011AP,
  title={A P ] 1 3 D ec 2 01 1 ON A COUPLED PDE MODEL FOR IMAGE RESTORATION},
  author={V. B. Surya Prasath and Dmitry Vorotnikov},
  year={2011}
}
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.