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

Voronoi Diagrams and Delaunay Triangulations Franz Aurenhammer, Rolf Klein, Der-Tsai Lee ebook
Format: pdf
ISBN: 9789814447638
Page: 337
Publisher: World Scientific Publishing Company, Incorporated

Dec 16, 2006 - Figure 17.16 shows the Delaunay cell complex associated to the Voronoi diagram in Figure 17.14. Figure 17.17 shows a Delaunay cell complex defined by the four sites marked by circles. Oct 4, 2012 - Related to the Delaunay triangulation, here is the Voronoi diagram for every Starbucks location. In mathematics, a Voronoi diagram is a way of dividing space into a number of regions. Aug 19, 2013 - Voronoi Diagram (The dual of delaunay triangulation). Dec 11, 2012 - This is useful because it helps in creating an organized and useful navigation map. The Delaunay triangulation (dotted lines) superposed on the Voronoi diagram (solid lines), its dual graph, for a set of Poisson-distributed generating points. 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). As we can see, it is in fact a Delaunay triangulation. Mar 29, 2014 - Voronoi diagram and its geometric dual, the Delaunay triangulation, both are practical geometric constructions which have been applied extensively in spatial analysis. Apr 4, 2011 - The duality between Delaunay triangulations and Voronoi diagrams is well known and thus algorithms are given for the construction of the former from the latter. Aug 26, 2011 - I stumbled over the http://www.qhull.org/ library and it got some really powerfull features like computing convex hulls, Delaunay triangulation and Voronoi diagrams. And Stolfi, J., "Primitives for the Manipulation of General Subdivisions and the Computation of Voronoi Diagrams", ACM Transactions on Graphics, Vol.4, No.2, April 1985, pages 74-123. 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).