Analysis of optical flow models in the framework of calculus of variations

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URL:	http://ub-madoc.bib.uni-mannheim.de/1850
URN:	urn:nbn:de:bsz:180-madoc-18503
Document Type:	Working paper
Year of publication:	2001
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 Informatik > Technical Reports
Subject:	004 Computer science, internet
Classification:	MSC: 49J10 68T45 94A08 68U10 ,
Subject headings (SWD):	Deformation <Mathematik> , Bildfolge , Bildsegmentierung
Keywords (English):	Optical flow , calculus of variations , quasiconvex functionals , functions of bounded variation and deformation
Abstract:	In image sequence analysis, variational optical flow computations require the solution of a parameter dependent optimization problem with a data term and a regularizer. In this paper we study existence and uniqueness of the optimizers. Our studies rely on quasiconvex functionals on the spaces W¹,P(Ω, IRd), with p > 1, BV(Ω, IRd), BD(&Omeag;). The methods that are covered by our results include several existing techniques. Experiments are presented that illustrate the behavior of these approaches.
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BASE: Hinterberger, Walter ; Scherzer, Otmar ; Schnörr, Christoph ; Weickert, Joachim

Google Scholar: Hinterberger, Walter ; Scherzer, Otmar ; Schnörr, Christoph ; Weickert, Joachim

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