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

Nov 3, 2011 - Whereas Delaunay triangulation creates an optimal triangular grid, a Voronoi diagram creates polygons where the borders are equidistant between node points. However, I will skip proofs about these items. May 26, 2012 - The library also allows for drawing Voronoi diagrams also. Mar 12, 2014 - The O(n log n) sweepline Delaunay triangulation algorithm is taken from */ /* Steven Fortune, "A Sweepline Algorithm for Voronoi Diagrams", */ /* Algorithmica 2(2):153-174, 1987. Dec 23, 2013 - The Delaunay triangulation (DT) is the straight-line dual structure of the Voronoi diagram; see [20] for the clear definitions of the Delaunay triangulation and constrained Delaunay triangulation. Requires vor_del.py, arcpy_helper.py installed in the same folder as this and toolbox. Jan 9, 2013 - It would be easier if you worked with Delaunay triangulations instead of Voronoi diagrams, particularly if all you want is the area of the Voronoi region, which can be extracted quite readily from the DT. One of the approaches is based on transforming the shapefile into a graph and running a modification of A* on it. Here is a Delaunay Triangulation, generated by this class: Just posted some example Voronoi diagrams from as3voronoi v.0.2: http://bit.ly/IN5o1. The brown lines are orthogonal to this, and form the Voronoi diagram. Mar 20, 2013 - Look up Delaunay triangulations/Voronoi diagrams, A* algorithm and its derivatives. Jul 31, 2010 - Voronoi diagram. Feb 10, 2012 - The black lines are the Delaunay Triangulation. Jul 28, 2013 - Are there applications of Voronoi diagrams or Delaunay triangulations where the order in which the points are generated (and given to the algorithm) have some known properties (e.g. [You need to understand what is going on on the right image.The left and the middle will be discussed below.] Delaunay triangulation; 3D convex hull. Jun 24, 2013 - Produce Delaunay Triangulation and Voronoi Diagram for point data. The lack of a good open-source library!.