Please use this identifier to cite or link to this item: doi:10.22028/D291-26274
Title: Highly accurate optic flow computation with theoretically justified warping
Author(s): Papenberg, Nils
Bruhn, Andrés
Brox, Thomas
Didas, Stephan
Weickert, Joachim
Language: English
Year of Publication: 2005
Free key words: differential techniques
variational methods
multi-resolution strategies
DDC notations: 510 Mathematics
Publikation type: Other
Abstract: In this paper, we suggest a variational model for optic flow computation based on non-linearised and higher order constancy assumptions. Besides the common grey value constancy assumption, also gradient constancy, as well as the constancy of the Hessian and the Laplacian are proposed. Since the model strictly refrains from a linearisation of these assumptions, it is also capable to deal with large displacements. For the minimisation of the rather complex energy functional, we present an efficient numerical scheme employing two nested fixed point iterations. Following a coarse-to-fine strategy it turns out that there is a theoretical foundation of so-called warping techniques hitherto justified only on an experimental basis. Since our algorithm consists of the integration of various concepts, ranging from different constancy assumptions to numerical implementation issues, a detailed account of the effect of each of these concepts is included in the experimental section. The superior performance of the proposed method shows up by significantly smaller estimation errors when compared to previous techniques. Further experiments also confirm excellent robustness under noise and insensitivity to parameter variations.
Link to this record: urn:nbn:de:bsz:291-scidok-44885
Series name: Preprint / Fachrichtung Mathematik, Universität des Saarlandes
Series volume: 124
Date of registration: 16-Jan-2012
Faculty: MI - Fakultät für Mathematik und Informatik
Department: MI - Mathematik
Collections:SciDok - Der Wissenschaftsserver der Universität des Saarlandes

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