Closed-form relationship between the two interpretations of a moving plane
- 1 February 1990
- journal article
- Published by Optica Publishing Group in Journal of the Optical Society of America A
- Vol. 7 (2) , 279-285
- https://doi.org/10.1364/josaa.7.000279
Abstract
It is well known that a pair of images of a textured planar surface captured from two different viewpoints can give rise to two interpretations for the orientation of the plane and the relative position and orientation of the camera at the two viewpoints. The relationship between these two solutions has been derived for the case in which the separation of the two viewpoints is small (one viewpoint position and orientation can be brought into coincidence with the other through an infinitesimal rotation and translation). I derive the relationship between the two interpretations for the case in which the baseline between the two camera positions can be arbitrarily large, and I show how one solution can be derived in terms of the other.Keywords
This publication has 10 references indexed in Scilit:
- Motion fields are hardly ever ambiguousInternational Journal of Computer Vision, 1988
- Multiple interpretations of a pair of images of a surfaceProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1988
- Direct Passive NavigationPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1987
- The reconstruction of a plane surface from two perspective projectionsProceedings of the Royal Society of London. B. Biological Sciences, 1986
- The angular Velocity associated with the optical flowfield arising from motion through a rigid environmentProceedings of the Royal Society of London. Series A. Mathematical and Physical Sciences, 1985
- Surface Structure and Three-Dimensional Motion from Image Flow KinematicsThe International Journal of Robotics Research, 1985
- The visual ambiguity of a moving planeProceedings of the Royal Society of London. B. Biological Sciences, 1984
- Uniqueness and Estimation of Three-Dimensional Motion Parameters of Rigid Objects with Curved SurfacesPublished by Institute of Electrical and Electronics Engineers (IEEE) ,1984
- Estimating three-dimensional motion parameters of a rigid planar patch, II: Singular value decompositionIEEE Transactions on Acoustics, Speech, and Signal Processing, 1982
- Optical motions and space perception: An extension of Gibson's analysis.Psychological Review, 1966