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

C. A. Rothwell, David Alexander Forsyth, A. Zisserman, J. L. Mundy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Abstract

A number of recent papers have argued that invariants do not exist for three dimensional point sets in general position. This has often been misinterpreted to mean that invariants cannot be computed for any three dimensional structure. This paper proves by example that although the general statement is true, invariants to exist for structured three dimensional point sets. Projective invariants are derived for two classes of object: 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: firstly they can be used for recognition; secondly they can be used to compute projective structure. Examples of invariants computed from real images are given.

Original languageEnglish (US)
Title of host publication1993 IEEE 4th International Conference on Computer Vision
PublisherPubl by IEEE
Pages573-582
Number of pages10
ISBN (Print)0818638729
StatePublished - Jan 1 1993
Externally publishedYes
Event1993 IEEE 4th International Conference on Computer Vision - Berlin, Ger
Duration: May 11 1993May 14 1993

Publication series

Name1993 IEEE 4th International Conference on Computer Vision

Other

Other1993 IEEE 4th International Conference on Computer Vision
CityBerlin, Ger
Period5/11/935/14/93

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Rothwell, C. A., Forsyth, D. A., Zisserman, A., & Mundy, J. L. (1993). Extracting projective structure from single perspective views of 3D point sets. In 1993 IEEE 4th International Conference on Computer Vision (pp. 573-582). (1993 IEEE 4th International Conference on Computer Vision). Publ by IEEE.

Extracting projective structure from single perspective views of 3D point sets. / Rothwell, C. A.; Forsyth, David Alexander; Zisserman, A.; Mundy, J. L.

1993 IEEE 4th International Conference on Computer Vision. Publ by IEEE, 1993. p. 573-582 (1993 IEEE 4th International Conference on Computer Vision).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Rothwell, CA, Forsyth, DA, Zisserman, A & Mundy, JL 1993, Extracting projective structure from single perspective views of 3D point sets. in 1993 IEEE 4th International Conference on Computer Vision. 1993 IEEE 4th International Conference on Computer Vision, Publ by IEEE, pp. 573-582, 1993 IEEE 4th International Conference on Computer Vision, Berlin, Ger, 5/11/93.
Rothwell CA, Forsyth DA, Zisserman A, Mundy JL. Extracting projective structure from single perspective views of 3D point sets. In 1993 IEEE 4th International Conference on Computer Vision. Publ by IEEE. 1993. p. 573-582. (1993 IEEE 4th International Conference on Computer Vision).
Rothwell, C. A. ; Forsyth, David Alexander ; Zisserman, A. ; Mundy, J. L. / Extracting projective structure from single perspective views of 3D point sets. 1993 IEEE 4th International Conference on Computer Vision. Publ by IEEE, 1993. pp. 573-582 (1993 IEEE 4th International Conference on Computer Vision).
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