In this paper we give a characterization of critical configurations for projective reconstruction with any number of points and views. A set of cameras and points is said to be critical if the projected image points are insufficient to determine the placement of the points and the cameras uniquely, up to a projective transformation. For two views, the critical configurations are well-known. In this paper it is shown that a configuration of n 3 cameras and in points all lying on the intersection of two distinct ruled quadrics is critical. In distinction to the two-view case, which in general allows two alternative solutions, there is a family of ambiguous reconstructions for the n-view case. As a partial converse, it Is shown that for any critical configuration, all the points lie on the intersection of two ruled quadrics.


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    Title :

    Critical configurations for n-view projective reconstruction


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


    Publication date :

    2001-01-01


    Size :

    594477 byte





    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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