Math @ Duke

Publications [#235563] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Aggarwal, A; Aronov, B; Kosaraju, SR; Schieber, B; Suri, S, Computing external farthest neighbors for a simple polygon,
Discrete Applied Mathematics, vol. 31 no. 2
(1991),
pp. 97111, ISSN 0166218X
(last updated on 2018/10/17)
Abstract: Let P be (the boundary of) a simple polygon with n vertices. For a vertex p of P, let φ{symbol}(p) be the set of points on P that are farthest from p, where the distance between two points is the length of the (Euclidean) shortest path that connects them without intersecting the interior of P. In this paper, we present an O(n log n) algorithm to compute a member of φ{symbol}(p) for every vertex p of P. As a corollary, the external diameter of P can also be computed in the same time. © 1991.


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