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Re: [cgal-discuss] Linear Cell Complex: Testing whether a tetrahedron lies inside a polyhedron


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  • From: Guillaume Damiand <>
  • To:
  • Subject: Re: [cgal-discuss] Linear Cell Complex: Testing whether a tetrahedron lies inside a polyhedron
  • Date: Tue, 27 Jan 2015 18:43:15 +0100

Hi,

There is no existing available function for such test in CMap/LCC.

I think the first approach is better, and instead of testing the barycenter you can perhaps directly test the 4th point of the tetrahedron.

Best
Guillaume


Le 27/01/2015 07:42, Pranav a écrit :
Hi,

I have a tetrahedron and a polyhedron both represented in Linear Cell
Complex form. There is a constraint that the tetrahedron always shares at
least one 2-cell with polyhedron(i.e., it lies at boundary of the
polyhedron).

I want to test whether the tetrahedron lies inside the polyhedron. I can
think of 2 /indirect/ approaches:

1. To take barycentre of the tetrahedron and test whether it lies inside
polyhedron using the standard ray(emanating from barycentre in arbitrary
direction)-polyhedron intersection counting approach.

2. Convert both tetrahedron and polyhedron in Nef polyhedron representation
and perform intersection operation.

I would like to know if there is any already available function/possibility
in Combinatorial Maps framework?




-----
Thanks in advance,
Pranav
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