An optimal convex hull algorithm in any fixed dimension

@article{Chazelle1993AnOC,
  title={An optimal convex hull algorithm in any fixed dimension},
  author={Bernard Chazelle},
  journal={Discrete \& Computational Geometry},
  year={1993},
  volume={10},
  pages={377-409}
}
  • B. Chazelle
  • Published 1 December 1993
  • Mathematics, Computer Science
  • Discrete & Computational Geometry
We present a deterministic algorithm for computing the convex hull ofn points inEd in optimalO(n logn+n⌞d/2⌟) time. Optimal solutions were previously known only in even dimension and in dimension 3. A by-product of our result is an algorithm for computing the Voronoi diagram ofn points ind-space in optimalO(n logn+n⌜d/2⌝) time. 
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