We examine projectively invariant local properties of smooth curves and surfaces. Oriented projective differential geometry is proposed as a theoretical framework for establishing such invariants and describing the local shape of surfaces and their outlines. This framework is applied to two problems: a projective proof of Koenderink's famous characterization of convexities, concavities, and inflections of apparent contours; and the determination of the relative orientation of rim tangents at frontier points.


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    Title :

    The local projective shape of smooth surfaces and their outlines


    Contributors:
    Lazebnik, (author) / Ponce, (author)


    Publication date :

    2003-01-01


    Size :

    426105 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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