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Publications [#235460] of Pankaj K. Agarwal

Papers Published

  1. 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. 36-45
    (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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Mathematics Department
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