Please use this identifier to cite or link to this item:
doi:10.22028/D291-26282
Title: | A multigrid platform for real-time motion computation with discontinuity-preserving variational methods |
Author(s): | Bruhn, Andrés Weickert, Joachim Kohlberger, Timo Schnörr, Christoph |
Language: | English |
Year of Publication: | 2005 |
Free key words: | computer vision optic flow differential techniques |
DDC notations: | 510 Mathematics |
Publikation type: | Other |
Abstract: | Variational methods are among the most accurate techniques for estimating the optic flow. They yield dense flow fields and can be designed such that they preserve discontinuities, allow to deal with large displacements and perform well under noise or varying illumination. However, such adaptations render the minimisation of the underlying energy functional very expensive in terms of computational costs: Typically, one or more large linear or nonlinear systems of equations have to be solved in order to obtain the desired solution. Consequently, variational methods are considered to be too slow for real-time performance. In our paper we address this problem in two ways: (i) We present a numerical framework based on bidirectional multigrid methods for accelerating a broad class of variational optic flow methods with different constancy and smoothness assumptions. In particular, discontinuity-preserving regularisation strategies are thereby in the focus of our work. (ii) We show by the examples of classical as well as more advanced variational techniques that real-time performance is possible - even for very complex optic flow models with high accuracy. Experiments show frame rates up to 63 dense flow fields per second for real-world image sequences of size 160 x 120 on a standard PC. Compared to classical iterative methods this constitutes a speedup of two to four orders of magnitude. |
Link to this record: | urn:nbn:de:bsz:291-scidok-45034 hdl:20.500.11880/26338 http://dx.doi.org/10.22028/D291-26282 |
Series name: | Preprint / Fachrichtung Mathematik, Universität des Saarlandes |
Series volume: | 136 |
Date of registration: | 18-Jan-2012 |
Faculty: | MI - Fakultät für Mathematik und Informatik |
Department: | MI - Mathematik |
Collections: | SciDok - Der Wissenschaftsserver der Universität des Saarlandes |
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preprint_136_05.pdf | 363,3 kB | Adobe PDF | View/Open |
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