Math @ Duke

Publications [#235460] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Aronov, B; Koltun, V; Sharir, M, On lines avoiding unit balls in three dimensions,
Proceedings of the Annual Symposium on Computational Geometry
(2004),
pp. 3645
(last updated on 2017/12/10)
Abstract: Let B be a set of n unit balls in ℝ3. We show that the combinatorial complexity of the space of lines in ℝ3 that avoid all the balls of B is O(n3+ε), for any ε > 0. This result has connections to problems in visibility, ray shooting, motion planning and geometric optimization.


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