A1 Vertaisarvioitu alkuperäisartikkeli tieteellisessä lehdessä
A variant of the Geman-McClure model for image restoration
Tekijät: Harjulehto P, Latvala V, Toivanen O
Kustantaja: ACADEMIC PRESS INC ELSEVIER SCIENCE
Julkaisuvuosi: 2013
Journal: Journal of Mathematical Analysis and Applications
Tietokannassa oleva lehden nimi: Journal of Mathematical Analysis and Applications
Lehden akronyymi: J MATH ANAL APPL
Numero sarjassa: 2
Vuosikerta: 399
Numero: 2
Aloitussivu: 676
Lopetussivu: 681
Sivujen määrä: 6
ISSN: 0022-247X
DOI: https://doi.org/10.1016/j.jmaa.2012.10.050
Verkko-osoite: http://api.elsevier.com/content/abstract/scopus_id:84870052965
Tiivistelmä
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.