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

Hinterberger, Walter ; Scherzer, Otmar ; Schnörr, Christoph ; Weickert, Joachim

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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(&#937;, IRd), with p > 1, BV(&#937;, 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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