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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 3 (1988), S. 379-388 
    ISSN: 1432-2315
    Keywords: Diameter ; Expected complexity ; Monte Carlo simulation ; Approximate algorithm
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract Three algorithms for computing the diameter of a finite planar set are proposed. Although all three algorithms have (O(n 2) worst-case running time, an expected-complexity analysis shows that, under reasonable probabilistic assumptions, all three algorithms have linear expected running time. Experimental results indicate that two of these algorithms perform very well for some distributions, and are competitive with an existing method. Finally, we exhibit situations where these exact algorithms out-perform a published approximate algorithm.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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  • 2
    Electronic Resource
    Electronic Resource
    Springer
    The visual computer 3 (1988), S. 323-328 
    ISSN: 1432-2315
    Keywords: Union of Spheres ; Volumes ; Laguerre Voronoid diagram ; Power diagram
    Source: Springer Online Journal Archives 1860-2000
    Topics: Computer Science
    Notes: Abstract OnO(n 2) exact algorithm is given for computing the volume of a set ofn spheres in space. The algorithm employs the Laguerre Voronoi (power) diagram and a method for computing the volume of the intersection of a simplex and a sphere exactly. We give a new proof of a special case of a conjecture, popularized by Klee, concerning the change in volume as the centres of the spheres become further apart.
    Type of Medium: Electronic Resource
    Library Location Call Number Volume/Issue/Year Availability
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