Math @ Duke

Publications [#235479] of Pankaj K. Agarwal
Papers Published
 Agarwal, PK; Aronov, B; Koltun, V; Sharir, M, Lines avoiding unit balls in three dimensions,
Discrete and Computanional Geometry, vol. 34 no. 2
(2005),
pp. 231250 [doi]
(last updated on 2018/07/15)
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. © Springer 2005.


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