Elliott, Charles Martin, Gawron, B, Maier-Paape, S and Van Vleck, ES (2006) Discrete dynamics for convex and non-convex smoothing functionals in PDE based image restoration. Communications on Pure and Applied Analysis, 5 (1). pp. 181-200. ISSN 1534-0392

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Abstract

In this article we consider a model that generalizes the Perona-Malik and the total variation models. We consider discretizations of this new model and show that the discretizations conserve certain properties of the continuous model, in particular convergence of the iterative scheme to a critical point and existence of a discrete Liapunov functional. Computational results are obtained that illustrate different features of the family of models.

Item Type:	Article
Schools and Departments:	School of Mathematical and Physical Sciences > Mathematics
Subjects:	Q Science > QA Mathematics
Depositing User:	Charles Martin Elliott
Date Deposited:	16 Mar 2007
Last Modified:	09 Sep 2019 13:50
URI:	http://sro.sussex.ac.uk/id/eprint/892

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