Algebraic and Geometric Invariant of a Pair of non-Coplanar Conics in Space

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 : It is easy to construct the geometric invariant of a pair of non-coplanar conics in space. It is the crossratio of the 4 intersection points of the two conics with the common line of the two conic planes. In this paper, the algebraic invariant of a pair of non-coplanar conics is derived from the invariant algebra of a pair of quaternary quadratic forms by using the dual representation of space conics. Then, the relationship between the algebraic invariant and the geometric invariant is established.
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Article dans une revue
Journal of Mathematical Imaging and Vision, Springer Verlag, 1995, 5 (3), pp.263--267. 〈10.1007/BF01248375〉
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Soumis le : mardi 3 mai 2011 - 09:13:05
Dernière modification le : mercredi 11 avril 2018 - 01:53:35

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Long Quan. Algebraic and Geometric Invariant of a Pair of non-Coplanar Conics in Space. Journal of Mathematical Imaging and Vision, Springer Verlag, 1995, 5 (3), pp.263--267. 〈10.1007/BF01248375〉. 〈inria-00590046〉

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