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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    Title :

    Invariant of a pair of non-coplanar conics in space: definition, geometric interpretation and computation


    Contributors:
    Long Quan (author)


    Publication date :

    1995-01-01


    Size :

    558581 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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