Voronoi Diagrams and Delaunay Triangulations. Franz Aurenhammer, Rolf Klein, Der-Tsai Lee

Voronoi Diagrams and Delaunay Triangulations


Voronoi.Diagrams.and.Delaunay.Triangulations.pdf
ISBN: 9789814447638 | 337 pages | 9 Mb


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Voronoi Diagrams and Delaunay Triangulations Franz Aurenhammer, Rolf Klein, Der-Tsai Lee
Publisher: World Scientific Publishing Company, Incorporated



Here's a picture to demonstrate: Delaunay_Voronoi. Oct 12, 2011 - A Voronoi diagram is the closest structure and the dual of a Delaunay triangulation. First one to make it output the voronoi diagram wins a candybar. Jun 26, 2009 - Qhull computes the convex hull, Delaunay triangulation, Voronoi diagram, halfspace intersection about a point, furthest-site Delaunay triangulation, and furthest-site Voronoi diagram. To convert this to a voronoi diagram. Hacky in here, and it could certainly be optimised hugely (profiling suggests most of the time is spent traversing my k-d tree), this still manages to spit the periodic Voronoi diagram for ~64k points to a .obj file on disc in around ten seconds (on an 8-core i7). Please someone correct me if I am wrong, but a voronoi when using the circle calculation has to be 2D and since this delaunay is more of a 2.5D the triangulation would need to be projected to a flat plane before producing the voronoi. Feb 11, 2014 - Resource handling post will happen in a bit, as I got distracted after reading a fascinating paper entitled Localizing the Delaunay Triangulation and its Parallel Implementation (Renjie Chen/Craig Gotsman). Apr 15, 2009 - Just don't input in the magic node duplicating points or everything will start blowing up. Jan 27, 2010 - Phil Bogle suggested that perhaps a Voronoi diagram could be useful to me, and from this came RubyVor. Nov 10, 2010 - Voronoi Diagrams and Delaunay Triangulation: "A Voronoi diagram is a geometric structure that represents proximity information about a set of points or objects. Oct 14, 2013 - The best reference for Delaunay triangulations and Voronoi diagrams that I've found is Jonathan Shewchuk's book and lecture notes. Jul 26, 2013 - In that class we covered Voronoi diagrams (and their inverse: Delaunay Triangulations) that do just that.





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