Optimal selection of the regularization function in a generalized total variation model. Part I: Modelling and theory
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2235 | |
dc.contributor.author | Hintermüller, Michael | |
dc.contributor.author | Rautenberg, Carlos N. | |
dc.date.accessioned | 2016-12-13T10:46:59Z | |
dc.date.available | 2019-06-28T08:01:59Z | |
dc.date.issued | 2016 | |
dc.description.abstract | A generalized total variation model with a spatially varying regularization weight is considered. Existence of a solution is shown, and the associated Fenchel-predual problem is derived. For automatically selecting the regularization function, a bilevel optimization framework is proposed. In this context, the lower-level problem, which is parameterized by the regularization weight, is the Fenchel predual of the generalized total variation model and the upper-level objective penalizes violations of a variance corridor. The latter object relies on a localization of the image residual as well as on lower and upper bounds inspired by the statistics of the extremes. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/2948 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/1663 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Image restoration | eng |
dc.subject.other | generalized total variation regularization | eng |
dc.subject.other | spatially distributed regularization weight | eng |
dc.subject.other | Fenchel predual | eng |
dc.subject.other | bilevel optimization | eng |
dc.subject.other | variance corridor | eng |
dc.title | Optimal selection of the regularization function in a generalized total variation model. Part I: Modelling and theory | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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