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Local structure of movement parallax of the plane
Abstract
The movement parallax field due to the translation of an observer relative to a plane surface is studied in an infinitesimal neighborhood of a visual direction. The parallax field is decomposed into elementary transformations: a translation, a rigid rotation, a similarity, and a deformation. A topologically invariant classification based on critical-point analysis is also obtained. It is shown that the field is either that of a node or that of a saddle point. Numerical results for a general case are offered as illustration. We discuss the relevance of the local, as opposed to the global structure of the parallax field for visual perception and the visual space sense.
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Citations
Cited by
Computation of component image velocity from local phase information
Fleet, D. J., & Jepson, A. D. (1990) · International Journal of Computer Vision · doi:10.1007/bf00056772 · Cited by 1,085
Epipolar-plane image analysis: An approach to determining structure from motion
Bolles, R. C., Baker, H. H., & Marimont, D. H. (1987) · International Journal of Computer Vision · doi:10.1007/bf00128525 · Cited by 892
The internal representation of solid shape with respect to vision
Koenderink, J. J., & van Doorn, A. J. (1979) · Biological Cybernetics · doi:10.1007/bf00337644 · Cited by 697
Self-citationFrom insect vision to robot vision
Franceschini, N., Pichon, J. M., & Blanes, C. (1992) · Philosophical Transactions of the Royal Society of London. Series B: Biological Sciences · doi:10.1098/rstb.1992.0106 · Cited by 462
Koenderink, J. J., & van Doorn, A. J. (1987) · Biological Cybernetics · doi:10.1007/bf00365219 · Cited by 434
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Metadata
- Authors
- Koenderink, J. J., & van Doorn, A. J.
- Venue
- Journal of the Optical Society of America
- Publisher
- Optica Publishing Group
- Published
- 1976-07-01
- Volume
- 66
- Issue
- 7
- Pages
- 717
- ISSN
- 0030-3941 (ISSN-L)
- OpenAlex
- W2061645173
- Cited by
- 370
- References
- 0
- FWCI
- 0.84
- Type
- journal article
- Language
- en
- Open access
- closed
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- Koenderink, J. J., & van Doorn, A. J. (1976). Local structure of movement parallax of the plane. Journal of the Optical Society of America. https://doi.org/10.1364/josa.66.000717
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