Representing shapes is a significant problem for vision systems that must recognize or classify objects. We derive a representation for a given shape by investigating its self-similarities, and constructing its shape axis (SA) and shape axis tree (SA-tree). We start with a shape, its boundary contour, and two different parameterizations for the contour. To measure its self-similarity we consider matching pairs of points (and their tangents) along the boundary contour, i.e., matching the two parameterizations. The matching, of self-similarity criteria may vary, e.g., co-circularity, parallelism, distance, region homogeneity. The loci of middle points of the pairing contour points are the shape axis and they can be grouped into a unique tree graph, the SA-tree. The shape axis for the co-circularity criteria is compared to the symmetry axis. An interpretation in terms of object parts is also presented.


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    Title :

    Representation and self-similarity of shapes


    Contributors:
    Tyng-Luh liu (author) / Geiger, D. (author) / Kohn, R.V. (author)


    Publication date :

    1998-01-01


    Size :

    623879 byte




    Type of media :

    Conference paper


    Type of material :

    Electronic Resource


    Language :

    English



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