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



The best path PS will be a set of line segments from the Delaunay triangulation, connecting some of the sensor nodes. Mar 16, 2012 - This is obtained from the Voronoi diagram by connecting the sites whose polygons share a common edge. 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). May 14, 2012 - Problems solved by the slime mold include not only the shortest path out of a maze, but also other complex mathematical challenges (like creating a Voronoi diagram and 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. Jun 17, 2007 - Another popular use of R is for doing Voronoi diagrams using the R Delaunay Triangulation and Dirichlet (Voronoi) Tesselation (deldir) Comprehensive R Archive Network (CRAN) package. Technology: Javascript, delaunay triangulation, voronoi diagram, crust/skeleton algorithm. Jun 2, 2007 - calculate convex hulls and related structures (development files). 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. Oct 14, 2013 - The best reference for Delaunay triangulations and Voronoi diagrams that I've found is Jonathan Shewchuk's book and lecture notes. 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). Oct 14, 2010 - From the Author: Voronoi diagram of moving points.





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