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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Journal articles
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https://hal.inria.fr/inria-00590046
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Submitted on : Tuesday, May 3, 2011 - 9:13:05 AM
Last modification on : Wednesday, April 11, 2018 - 1:53:35 AM

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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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