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

Voronoi Diagrams and Delaunay Triangulations



Download Voronoi Diagrams and Delaunay Triangulations

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


Why do I love Voronoi diagrams so much? The brown lines are orthogonal to this, and form the Voronoi diagram. The lack of a good open-source library!. Oct 29, 2012 - It is dual to the Delaunay triangulation. It is named after Georgy Voronoi, and is also called a Voronoi tessellation, a Voronoi decomposition, or a Dirichlet tessellation (after Lejeune Dirichlet). Some of my very most favorite-est things! Aug 16, 2012 - Unfortunately, MapInfo doesn't include any built-in methods for creating Delaunay triangulations, but it does have a tool for creating Voronoi diagrams. Oct 23, 2007 - This report may be viewed as a tutorial and a set of notes on convex sets, polytopes, polyhedra, combinatorial topology, Voronoi Diagrams and Delaunay Triangulations. Mar 5, 2012 - Voronoi tessellations! Aug 9, 2012 - Input: model file (.obj) + point set (.pts) => seems like voronoi site for me. Feb 1, 2001 - Qhull computes convex hulls, Delaunay triangulations, halfspace intersections about a point, Voronoi diagrams, furthest-site Delaunay triangulations, and furthest-site Voronoi diagrams. Oct 12, 2011 - A Voronoi diagram is the closest structure and the dual of a Delaunay triangulation. It runs in 2-d, 3-d, 4-d, and higher dimensions. Dec 3, 2009 - In addition to the Voronoi diagram and the Delaunay triangulation, the library also provides the convex hull, minimum and maximum spanning trees, and several other related geometric entities. 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). Feb 10, 2012 - The black lines are the Delaunay Triangulation. Here is a Delaunay Triangulation, generated by this class: Just posted some example Voronoi diagrams from as3voronoi v.0.2: http://bit.ly/IN5o1. 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).





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