Math @ Duke

Publications [#235412] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Aronov, B; HarPeled, S; Sharir, M, Approximation and exact algorithms for minimumwidth annuli and shells,
Proceedings of the Annual Symposium on Computational Geometry
(1999),
pp. 380389
(last updated on 2018/11/13)
Abstract: The approximation and the exact algorithms to compute the minimumwidth shell or annulus are discussed. To measure the S or the roundness of a set of n points in Rd, the S can be approximated with a sphere (Γ) so that the maximum distance between a point of S and Γ is minimized. It was found that the problem of measuring the roundness of S is equivalent to computing a shell of the smallest width that contains S.


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