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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 VleckIn 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 AnalysisISSN
1534-0392External DOI
Issue
1Volume
5Page range
181-200Department affiliated with
- Mathematics Publications
Full text available
- No
Peer reviewed?
- Yes