Skip to Main content Skip to Navigation
Conference papers

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 : 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.
Document type :
Conference papers
Complete list of metadatas

https://hal.inria.fr/inria-00590053
Contributor : Team Perception <>
Submitted on : Tuesday, May 3, 2011 - 9:14:31 AM
Last modification on : Friday, June 26, 2020 - 4:04:03 PM

Identifiers

  • HAL Id : inria-00590053, version 1

Collections

IMAG | CNRS | INRIA | UGA

Citation

Long Quan. Invariant of a Pair of non-Coplanar Conics in Space. Europe-China Workshop on Geometrical Modelling and Invariants for Computer Vision, Apr 1995, Xian, China. pp.190--197. ⟨inria-00590053⟩

Share

Metrics

Record views

70