Math @ Duke
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Publications [#235577] of Pankaj K. Agarwal
Papers Published
- Agarwal, PK; Efrat, A; Sharir, M; Toledo, S, Computing a segment center for a planar point set,
Journal of Algorithms, vol. 15 no. 2
(January, 1993),
pp. 314-323, Elsevier BV, ISSN 0196-6774 [doi]
(last updated on 2023/06/02)
Abstract: Given a set S of n points in the plane and a segment e, a center placement of e is a placement (allowing translation and rotation) that minimizes the maximum distance from e to the points of S. We present an algorithm for computing a center placement for S, whose running time is O(n2α(n)log3n), where α(n) is the inverse Ackermann function. The algorithm makes use of the parametric searching technique of Megiddo. © 1993 Academic Press, Inc.
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