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algorithms for polygons


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  • From: Iosif Pinelis <>
  • To:
  • Subject: algorithms for polygons
  • Date: Sun, 04 Mar 2007 13:27:32 -0500

Hi,

I am a mathematician and a complete novice, and don't know C or C++. My _main interest_ at this point is to find out what algorithms are used in CGAL to check such polygon properties as the simplicity and convexity, as well as the rigorous definitions of these notions as assumed in CGAL. I have been able to find online only extremely brief descriptions of the corresponding pieces of code. As for the polygon simplicity, it is said there that a sweep algorithm is used, but no details are given. As for the polygon convexity, nothing at all is said about the algorithm. In no case I have been able to find rigorous definitions.

I guess I could try to read the CGAL C++ code for these algorithms, but I can't find such code either in the CGAL download. I have tried to install CGAL on Windows XP (after installing Visual C++ 2005 Express edition and also boost), but the installation fails to complete. A CGAL installation manual says that only Visual C++ 2003 (version 7.1) is supported by CGAL, but 7.1 does not appear to be available any more, as it has been replaced by 8.0 by Microsoft.

Your help concerning the algorithms (and also the installation) would be very valuable to me. Thank you.

Iosif Pinelis



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