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[cgal-discuss] Understanding Nef Polyhedron documentation


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  • From: Pranav <>
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  • Subject: [cgal-discuss] Understanding Nef Polyhedron documentation
  • Date: Tue, 27 Jan 2015 03:30:45 -0800 (PST)

Hi,

I am studying Nef polyhedron documentation. The 1st figure in /Definition/
section, shows local pyramids for all faces of the polyhedron /P/.

I would like to know the following:

1. What does /R+/ mean in definition of local pyramid /Q/(in the
documentation)?

2. Since /Pyr/ is defined only for points in d-dimensional space, does
Pyr(f) where /f/ is a 2-face is compact representation of referring to all
points in face /f/ at once?

3. How local pyramid of face /f1/ is Null? I find it a bit confusing because
as per definition of local pyramid /Q = x + (R+)*(Intersection(P, U(x)) -
x)/ and here /x/ is a point in the d-dimensional space. It means at least
/x/ is always a part of /Q/, thereby making it a non-empty set.



-----
Thanks in advance,
Pranav
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  • [cgal-discuss] Understanding Nef Polyhedron documentation, Pranav, 01/27/2015

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