A faster divide-and-conquer algorithm for constructing delaunay triangulations

@article{Dwyer2005AFD,
  title={A faster divide-and-conquer algorithm for constructing delaunay triangulations},
  author={Rex A. Dwyer},
  journal={Algorithmica},
  year={2005},
  volume={2},
  pages={137-151}
}
  • R. Dwyer
  • Published 1 November 1987
  • Computer Science
  • Algorithmica
An easily implemented modification to the divide-and-conquer algorithm for computing the Delaunay triangulation ofn sites in the plane is presented. The change reduces its Θ(n logn) expected running time toO(n log logn) for a large class of distributions that includes the uniform distribution in the unit square. Experimental evidence presented demonstrates that the modified algorithm performs very well forn≤216, the range of the experiments. It is conjectured that the average number of edges it… 
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