Canonical description of the perspective projections

James A. D. W. Anderson

doi:10.1117/12.142179

9 April 1993 Canonical description of the perspective projections

James A. D. W. Anderson

Proceedings Volume 1832, Vision Geometry; (1993) https://doi.org/10.1117/12.142179
Event: Applications in Optical Science and Engineering, 1992, Boston, MA, United States

Abstract

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.

Citation Download Citation

James A. D. W. Anderson "Canonical description of the perspective projections", Proc. SPIE 1832, Vision Geometry, (9 April 1993); https://doi.org/10.1117/12.142179

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