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Publications [#235590] of Pankaj K. Agarwal

Papers Published

  1. Agarwal, PK; Aronov, B; Sharir, M, Line transversals of balls and smallest enclosing cylinders in three dimensions, in Eighth Annual ACM-SIAM Symposium on Discrete Algorithms, Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms (1997), pp. 483-492
    (last updated on 2017/12/13)

    Abstract:
    We establish a near-cubic upper bound on the complexity of the space of line transversals of a collection of n balls in three dimensions; and show that the bound is almost tight, in the worst case. We apply this bound to obtain a near-cubic algorithm for computing a smallest infinite cylinder enclosing a given set of points or balls in 3-space. We also present an approximation algorithm for computing a smallest enclosing cylinder.

 

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