A1 Refereed original research article in a scientific journal
A variant of the Geman-McClure model for image restoration
Authors: Harjulehto P, Latvala V, Toivanen O
Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE
Publication year: 2013
Journal: Journal of Mathematical Analysis and Applications
Journal name in source: Journal of Mathematical Analysis and Applications
Journal acronym: J MATH ANAL APPL
Number in series: 2
Volume: 399
Issue: 2
First page : 676
Last page: 681
Number of pages: 6
ISSN: 0022-247X
DOI: https://doi.org/10.1016/j.jmaa.2012.10.050
Web address : http://api.elsevier.com/content/abstract/scopus_id:84870052965
Abstract
We study existence and regularity of the solutions for the variant of the Geman-McClure model for image restoration introduced by Chipot, March, Rosati and Vergara Caffarelli. We generalize their one-dimensional existence result to dimensions n≥ 2. Our argumentation is fairly simple and essentially different from the one in Chipot etal. (1997). [4]. We also show that the minimizers are continuous. © 2012 Elsevier Ltd.
We study existence and regularity of the solutions for the variant of the Geman-McClure model for image restoration introduced by Chipot, March, Rosati and Vergara Caffarelli. We generalize their one-dimensional existence result to dimensions n≥ 2. Our argumentation is fairly simple and essentially different from the one in Chipot etal. (1997). [4]. We also show that the minimizers are continuous. © 2012 Elsevier Ltd.
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