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This code for Delaunay triangulations (Voronoi diagrams) is very old now, but I occasionally get requests for it. This program is based on Dwyer, R.A., A faster divide-and-conquer algorithm for constructing Delaunay triangulations. Algorithmica 2(2):137-151, 1987. This was my very first paper. Oddly, I can't seem to find tex source (though I did find the tex source for other papers nearly as old.) You can buy the conference version (2nd Symposium on Computational Geometry -- ACM) for less than the Algorithmica version (Springer). This work is mentioned in the Wikipedia entry for "Delaunay Triangulation". There's a short int in there that may need to be changed to an int. Back when, I was optimizing for what now seems like a small number of points. Try to imagine that it took minutes to run my largest simulations, which I think involved 32K or 64K points. (I don't recall, but I may have been up against memory limitations, too!) I'm including a review of several Delaunay triangulation algorithms written by Peter Su and Scot Drysdale that showed that this was the ONE AND ONLY VERY BEST algorithm when the survey was written. This was later confirmed by JR Shewchuk, http://www.cs.cmu.edu/~quake/tripaper/triangle2.html There's also a little postscript file with a picture. I believe this picture was on my business cards when I was at NC State. That's all I have to say about that, but if you have questions, you can contact me at [email protected]. In fact, if you use this code, why not drop me a line to let me know?
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Delaunay Triangulations / Voronoi Diagrams in C
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