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Complexity of Random Delaunay Triangulation in 3D

In (3), Jeff Erickson goes as far as saying that For all practical purposes, three-dimensional Delaunay triangulations appear to have linear complexity. … Nice point sets can have nasty Delaunay triangulations. In Proceedings of the seventeenth annual symposium on Computational geometry (SCG '01), Diane L. Souvaine (Ed.). …