Invariant of a Pair of Non-Coplanar Conics in Space: Definition, Geometric Interpretation and Computation - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Reports (Research Report) Year : 1995

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

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.
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Dates and versions

inria-00590055 , version 1 (03-05-2011)

Identifiers

  • HAL Id : inria-00590055 , version 1

Cite

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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