caa a22 4500 467914540 CHVBK 20180406152858.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s11263-005-3960-y doi (NATIONALLICENCE)springer-10.1007/s11263-005-3960-y Highly Accurate Optic Flow Computation with Theoretically Justified Warping [Elektronische Daten] [Nils Papenberg, Andrés Bruhn, Thomas Brox, Stephan Didas, Joachim Weickert] 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. Springer Science + Business Media, Inc., 2006 optical flow nationallicence differential methods nationallicence gradient constancy nationallicence warping nationallicence performance evaluation nationallicence Papenberg Nils Institute for Mathematics, University of Lübeck, Wallstrasse 40, 23560, Lübeck, Germany aut Bruhn Andrés Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbrücken, Germany aut Brox Thomas Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbrücken, Germany aut Didas Stephan Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbrücken, Germany aut Weickert Joachim Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbrücken, Germany aut International Journal of Computer Vision Kluwer Academic Publishers 67/2(2006-04-01), 141-158 0920-5691 67:2<141 2006 67 11263 https://doi.org/10.1007/s11263-005-3960-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s11263-005-3960-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Papenberg Nils Institute for Mathematics, University of Lübeck, Wallstrasse 40, 23560, Lübeck, Germany aut NATIONALLICENCE 700 1- Bruhn Andrés Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbrücken, Germany aut NATIONALLICENCE 700 1- Brox Thomas Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbrücken, Germany aut NATIONALLICENCE 700 1- Didas Stephan Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbrücken, Germany aut NATIONALLICENCE 700 1- Weickert Joachim Mathematical Image Analysis Group, Faculty of Mathematics and Computer Science, Saarland University, Building 27, 66041, Saarbrücken, Germany aut NATIONALLICENCE 773 0- International Journal of Computer Vision Kluwer Academic Publishers 67/2(2006-04-01), 141-158 0920-5691 67:2<141 2006 67 11263 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer