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Re: [cgal-discuss] Re: Intersection of two CONVEX 3D polyhedrons


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  • From: Olivier Devillers <>
  • To:
  • Subject: Re: [cgal-discuss] Re: Intersection of two CONVEX 3D polyhedrons
  • Date: Thu, 19 Apr 2012 11:51:44 +0200

Le 4/18/12 1:40 PM, sgdimitris a écrit :
*Olivier:* What do you mean by dualize? Sorry, but I didn't understand it,
maybe cause I'm not so experienced in using cgal.


you have a bijection between planes and points
e.g.
plane ax+by+cz = 1 <-->point (a,b,c)
or
point p <--> plane orthogonal to vector op, through the point p/p^2


Through this bijection, the intersection of halfspaces correspond to convex hull of points



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