A variant of the Geman-McClure model for image restoration

: Harjulehto P, Latvala V, Toivanen O

Publisher: ACADEMIC PRESS INC ELSEVIER SCIENCE

: 2013

: Journal of Mathematical Analysis and Applications

: J MATH ANAL APPL

: 2

: 399

: 2

: 676

: 681

: 6

: 0022-247X

DOI: https://doi.org/10.1016/j.jmaa.2012.10.050

: http://api.elsevier.com/content/abstract/scopus_id:84870052965

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.

Mathematics