This paper investigates critical configurations for projective reconstruction from multiple images taken by a camera moving in a straight line. Projective reconstruction refers to a determination of the 3D (three-dimensional) geometrical configuration of a set of 3D points and cameras, given only correspondences between points in the images. A configuration of points and cameras is critical if it cannot be determined uniquely (up to a projective transform) from the image coordinates of the points. It is shown that a configuration consisting of any number of cameras lying on a straight line, and any number of points lying on a twisted cubic constitutes a critical configuration. An alternative configuration consisting of a set of points and cameras all lying on a rational quartic curve exists.


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    Title :

    A critical configuration for reconstruction from rectilinear motion


    Contributors:
    Hartley, R. (author) / Kahl, F. (author)


    Publication date :

    2003-01-01


    Size :

    280323 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



    A Critical Configuration for Reconstruction from Rectilinear Motion

    Hartley, R. / Kahl, F. / IEEE | British Library Conference Proceedings | 2003



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