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  • 1
    Electronic Resource
    Electronic Resource
    Optimal algorithms for symmetry detection in two and three dimensions (1985)
    Springer
    The visual computer 1 (1985), S. 37-48 
    Details
    ISSN: 1432-2315
    Keywords: Symmetry ; Similarity ; Computational geometry ; Pattern matching ; Graph isomorphism
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Exact algorithms for detecting all rotational and involutional symmetries in point sets, polygons and polyhedra are described. The time complexities of the algorithms are shown to be θ (n) for polygons and θ (n logn) for two- and three-dimensional point sets. θ (n logn) time is also required for general polyhedra, but for polyhedra with connected, planar surface graphs θ (n) time can be achieved. All algorithms are optimal in time complexity, within constants.
    Type of Medium: Electronic Resource
    URL: http://dx.doi.org/10.1007/BF01901268
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