Projective model for central catadioptric cameras using clifford algebra

Authors:
Antti Tolvanen;Christian Perwass;Gerald Sommer
Affiliations:
Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität, Kiel, Germany;Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität, Kiel, Germany;Institut für Informatik und Praktische Mathematik, Christian-Albrechts-Universität, Kiel, Germany
Venue:
PR'05 Proceedings of the 27th DAGM conference on Pattern Recognition
Year:
2005

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Abstract

A new method for describing the equivalence of catadioptric and stereographic projections is presented. This method produces a simple projection usable in all central catadioptric systems. A projective model for the sphere is constructed in such a way that it allows the effective use of Clifford algebra in the description of the geometrical entities on the spherical surface.