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The union of Unit Balls has Quadratic Complexity, even if They all Contain the Origin

Hervé Brönnimann 1 Olivier Devillers
1 PRISME - Geometry, Algorithms and Robotics
CRISAM - Inria Sophia Antipolis - Méditerranée
Abstract : We provide a lower bound construction showing that the union of unit balls in R3 has quadratic complexity, even if they all contain the origin. This settles a conjecture of Sharir.
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https://hal.inria.fr/inria-00072904
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Submitted on : Wednesday, May 24, 2006 - 11:14:43 AM
Last modification on : Friday, February 4, 2022 - 3:11:25 AM
Long-term archiving on: : Sunday, April 4, 2010 - 11:27:17 PM

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  • HAL Id : inria-00072904, version 1

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Hervé Brönnimann, Olivier Devillers. The union of Unit Balls has Quadratic Complexity, even if They all Contain the Origin. RR-3758, INRIA. 1999. ⟨inria-00072904⟩

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