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


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  • From: Pranav <>
  • To:
  • Subject: [cgal-discuss] Linear Cell Complex: Testing whether a tetrahedron lies inside a polyhedron
  • Date: Mon, 26 Jan 2015 22:42:30 -0800 (PST)

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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