Unified computational theory for motion transparency and motion boundaries based on eigenenergy analysis
- 10 December 2002
- conference paper
- Published by Institute of Electrical and Electronics Engineers (IEEE)
- No. 10636919,p. 289-295
- https://doi.org/10.1109/cvpr.1991.139704
Abstract
A unified theoretical framework for motion transparency and motion boundaries by devising fundamental constraint equations of multiple optical flow is proposed. This framework can handle flow discontinuities at motion boundaries as well as flow multiplicities due to transparency of objects in a unified manner. The constraint equations are formulated by a composition of homogeneously parametrized differential operators on the space-time image. Fitting algorithms for the constraints which result in eigensystem analyses are described. To determine the number of flows, the authors use the margin energy, a measure of goodness of fit which is the difference between the first and the second lower eigenenergy of the eigensystem. They also hypothesize a criterion for multiplicity. The measure and the criterion are derived from the analogy of quantum mechanics. It is demonstrated that the margin energy can determine the transparency and discontinuities of the flow field as regions of more than one flow.Keywords
This publication has 12 references indexed in Scilit:
- Computing two motions from three framesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Simultaneous multiple optical flow estimationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Computation of component image velocity from local phase informationInternational Journal of Computer Vision, 1990
- Analog hardware for detecting discontinuities in early visionInternational Journal of Computer Vision, 1990
- A computational theory for the perception of coherent visual motionNature, 1988
- Optical flow using spatiotemporal filtersInternational Journal of Computer Vision, 1988
- Determining Three-Dimensional Motion and Structure from Optical Flow Generated by Several Moving ObjectsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1985
- Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of ImagesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1984
- Phenomenal coherence of moving visual patternsNature, 1982
- Velocity determination in scenes containing several moving objectsComputer Graphics and Image Processing, 1979