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Joint Invariants of a Triplet of Coplanar Conics: Stability and Discriminating Power for Object Recognition

Françoise Veillon 1, 2 Long Quan 1, 2 Peter Sturm 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 : Joint invariants of a pair of coplanar conics have been largely studied for object recognition. In this paper, we are concerned with the invariants of a triplet of coplanar conics. It will be shown that, besides of the invariants associated to all pairs of three conics, there exist only one invariant which is associated to the triplet of conics. All joint invariants of a triplet of coplanar conics will first be derived based on the invariant algebra of a net of ternary quadratic forms. Then, experimentations for discriminating power, accuracy and stability of joint invariants are conducted both for simulated and real images.
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https://hal.inria.fr/inria-00525710
Contributor : Peter Sturm <>
Submitted on : Tuesday, October 12, 2010 - 2:45:50 PM
Last modification on : Friday, June 26, 2020 - 4:04:03 PM

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Françoise Veillon, Long Quan, Peter Sturm. Joint Invariants of a Triplet of Coplanar Conics: Stability and Discriminating Power for Object Recognition. 6th International Conference on Computer Analysis of Images and Patterns (CAIP '95), Sep 1995, Prague, Czech Republic. pp.705-710, ⟨10.1007/3-540-60268-2_368⟩. ⟨inria-00525710⟩

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