Math @ Duke

Publications [#235439] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Aronov, B; Sharir, M, Exact and approximation algorithms for minimumwidth cylindrical shells,
Discrete and Computanional Geometry, vol. 26 no. 3
(2001),
pp. 307320
(last updated on 2017/12/15)
Abstract: Let S be a set of n points in ℝ3. Let ω* be the width (i.e., thickness) of a minimumwidth infinite cylindrical shell (the region between two coaxial cylinders) containing S. We first present an O(n5)time algorithm for computing ω*, which as far as we know is the first nontrivial algorithm for this problem. We then present an O(n2+δ)time algorithm, for any δ > 0, that computes a cylindrical shell of width at most 56ω* containing S.


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