The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
Invariant Properties of the Motion Parallax Field Due to the Movement of Rigid Bodies Relative to an Observer
Abstract
It is shown that the time-change of the natural perspective, due to the movement of rigid bodies relative to an observer, conveys information about geometrical properties of the moving surfaces. Certain differential properties of the dynamic perspective are shown to be conserved. These properties are related to determinants of the shape of the surface elements of the moving bodies, as for instance the sign of the gaussian curvature, the asymptotic curves and the future contours. A kinematic analysis of the motion parallax field shows that the type of parallax field is related to the slant of the surface relative to the observer. The theory is of possible significance to visual kinesthesis.
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Citations
Cites
The Perception of the Visual World
Gibson, J. J. (1951) · The American Journal of Psychology · doi:10.2307/1419017 · Cited by 1,145
Cited by
Horn, B. K. P., & Schunck, B. G. (1981) · Artificial Intelligence · doi:10.1016/0004-3702(81)90024-2 · Cited by 10,312
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
Koenderink, J. J., & van Doorn, A. J. (1991) · Journal of the Optical Society of America A · doi:10.1364/josaa.8.000377 · Cited by 871
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
Recognizing Facial Expressions in Image Sequences Using Local Parameterized Models of Image Motion
Black, M. J., & Yacoob, Y. (1997) · International Journal of Computer Vision · doi:10.1023/a:1007977618277 · Cited by 514
Metadata
- Venue
- Optica Acta: International Journal of Optics
- Publisher
- Informa UK Limited
- Published
- 1975-09
- Volume
- 22
- Issue
- 9
- Pages
- 773-791
- ISSN
- 0030-3909 (ISSN-L)
- OpenAlex
- W3080590132
- Cited by
- 385
- References
- 1
- FWCI
- 0.54
- Type
- journal article
- Language
- en
- Open access
- closed
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- Invariant Properties of the Motion Parallax Field Due to the Movement of Rigid Bodies Relative to an Observer. (1975). Optica Acta: International Journal of Optics. https://doi.org/10.1080/713819112
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Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
