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Extracting projective structure from single perspective views of 3D point sets

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4 Author(s)
Rothwell, C.A. ; Dept. of Eng. Sci., Oxford Univ., UK ; Forsyth, D.A. ; Zisserman, A. ; Mundy, J.L.

A number of recent papers have argued that invariants do not exist for three-dimensional point sets in general position, which has often been misinterpreted to mean that invariants cannot be computed for any three-dimensional structure. It is proved by example that although the general statement is true, invariants do exist for structured three-dimensional point sets. Projective invariants are derived for two object classes: the first is for points that lie on the vertices of polyhedra, and the second for objects that are projectively equivalent to ones possessing a bilateral symmetry. The motivations for computing such invariants are twofold: they can be used for recognition, and they can be used to compute projective structure. Examples of invariants computed from real images are given

Published in:

Computer Vision, 1993. Proceedings., Fourth International Conference on

Date of Conference:

11-14 May 1993