The union of unit balls has quadratic complexity, even if they all contain the origin
classification
💻 cs.CG
keywords
ballscomplexitycontainevenoriginquadratictheyunion
read the original abstract
We provide a lower bound construction showing that the union of unit balls in three-dimensional space has quadratic complexity, even if they all contain the origin. This settles a conjecture of Sharir.
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