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Re: [cgal-discuss] Intersection Points in Higher Dimension


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  • From: Bernd Gaertner <>
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  • Subject: Re: [cgal-discuss] Intersection Points in Higher Dimension
  • Date: Fri, 05 Dec 2008 12:59:54 +0100

Chaman Singh Verma wrote:
I am sorry for putting = sign, must be replaced by <= sign. So I will have
set of planes defined by those equations. So I am interested in knowing the
polytopes formed by the intersections of half spaces.

This is dual to the convex hull problem, so if you have a point that is strictly in the intersection of the halfspaces (can be found by linear programming), you can reduce to convex hull computaton through gometric duality. However, as you seem to have a high number of variables, the result will in practice not be computable.

Best,
Bernd.


  • Re: [cgal-discuss] Intersection Points in Higher Dimension, Bernd Gaertner, 12/05/2008

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