An efficient algorithm for the three-dimensional diameter problem
- S. Bespamyatnikh
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We explore a new approach for computing the diameter of n points in ℝ3 that is based on the restriction of the furthest-point Voronoi diagram to the convex hull. We show that the restricted Voronoi diagram has linear complexity. We present a deterministic algorithm with O(n log2 n) running time. The algorithm is quite simple and is a good candidate to be implemented in practice. Using our approach the chromatic diameter and all-furthest neighbors in ℝ3 can be found in the same running time.
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- An efficient algorithm for the three-dimensional diameter problem
Discrete & Computational Geometry
Volume 25, Issue 2 , pp 235-255
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- S. Bespamyatnikh (1)
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- 1. Department of Computer Science, University of British Columbia, V6T 1Z2, Vancouver, British Columbia, Canada