Invariant of a Pair of Non-Coplanar Conics in Space: Definition, Geometric Interpretation and Computation

Long Quan 1, 2
1 MOVI - Modeling, localization, recognition and interpretation in computer vision
GRAVIR - IMAG - Graphisme, Vision et Robotique, Inria Grenoble - Rhône-Alpes, CNRS - Centre National de la Recherche Scientifique : FR71
Abstract : The joint invariants of a pair of coplanar conics has been widely used in recent vision literature. In this paper, the algebraic invariant of a pair of non-coplanar conics in space is concerned. The algebraic invariant of a pair of non-coplanar conics is first derived from the invariant algebra of a pair of quaternary quadratic forms by using the dual representation of space conics. Then, this algebraic invariant is geometrically interpreted in terms of cross-ratios. Finally, an analytical procedure for projective reconstruction of a space conic from two uncalibrated images is developed and the correspondence conditions of the conics between two views are also explicited.
Type de document :
Rapport
[Research Report] 1995
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https://hal.inria.fr/inria-00590055
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Soumis le : mardi 3 mai 2011 - 09:14:33
Dernière modification le : mercredi 11 avril 2018 - 01:53:15

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  • HAL Id : inria-00590055, version 1

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Long Quan. Invariant of a Pair of Non-Coplanar Conics in Space: Definition, Geometric Interpretation and Computation. [Research Report] 1995. 〈inria-00590055〉

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