Accessibility navigation


Canonical description of the perspective projections

Anderson, J. A. D. W. (1993) Canonical description of the perspective projections. In: Melter, R. A. and Wu, A. Y. (eds.) Vision Geometry. SPIE Proceedings (1832). SPIE Press, Bellingham, WA, pp. 300-311. ISBN 9780819410337

Full text not archived in this repository.

It is advisable to refer to the publisher's version if you intend to cite from this work. See Guidance on citing.

To link to this item DOI: 10.1117/12.142179

Abstract/Summary

A unique parameterization of the perspective projections in all whole-numbered dimensions is reported. The algorithm for generating a perspective transformation from parameters and for recovering parameters from a transformation is a modification of the Givens orthogonalization algorithm. The algorithm for recovering a perspective transformation from a perspective projection is a modification of Roberts' classical algorithm. Both algorithms have been implemented in Pop-11 with call-out to the NAG Fortran libraries. Preliminary monte-carlo tests show that the transformation algorithm is highly accurate, but that the projection algorithm cannot recover magnitude and shear parameters accurately. However, there is reason to believe that the projection algorithm might improve significantly with the use of many corresponding points, or with multiple perspective views of an object. Previous parameterizations of the perspective transformations in the computer graphics and computer vision literature are discussed.

Item Type:Book or Report Section
Refereed:Yes
Divisions:Science > School of Mathematical, Physical and Computational Sciences > Department of Computer Science
ID Code:18987
Publisher:SPIE Press

University Staff: Request a correction | Centaur Editors: Update this record

Page navigation