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Discrete dynamics for convex and non-convex smoothing functionals in PDE based image restoration

journal contribution
posted on 2023-06-07, 13:52 authored by Charles Martin Elliott, B Gawron, S Maier-Paape, ES Van Vleck
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.

History

Publication status

  • Published

Journal

Communications on Pure and Applied Analysis

ISSN

1534-0392

Issue

1

Volume

5

Page range

181-200

Department affiliated with

  • Mathematics Publications

Full text available

  • No

Peer reviewed?

  • Yes

Legacy Posted Date

2007-03-16

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