A note on the dual treatment of higher order regularization functionals

Steidl, Gabriele

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URL: http://ub-madoc.bib.uni-mannheim.de/1736
URN: urn:nbn:de:bsz:180-madoc-17368
Document Type: Working paper
Year of publication: 2004
The title of a journal, publication series: None
Publication language: English
Institution: School of Business Informatics and Mathematics > Sonstige - Fakultät für Wirtschaftsinformatik und Wirtschaftsmathematik
MADOC publication series: Veröffentlichungen der Fakultät für Mathematik und Informatik > Institut für Mathematik > Mannheimer Manuskripte
Subject: 510 Mathematics
Classification: MSC: 65K10 49J20 49M25 49M29 ,
Subject headings (SWD): Lineare Algebra
Keywords (English): Rudin-Osher-Fatemi model , higher order regularization , convex optimization , dual optimization methods , G-norm , support vector regression
Abstract: In this paper, we apply the dual approach developed by A. Chambolle for the Rudin-Osher-Fatemi model to regularization functionals with higher order derivatives. We emphasize the linear algebra point of view by consequently using matrix-vector notation. Numerical examples demonstrate the differences between various second order regularization approaches.
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