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


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  • From: Andreas Fabri <>
  • To:
  • Subject: Re: [cgal-discuss] Intersection of two CONVEX 3D polyhedrons
  • Date: Wed, 23 Apr 2014 11:37:24 +0200
  • Organization: GeometryFactory


Maybe this will do the job:

http://doc.cgal.org/latest/Polytope_distance_d/index.html#Chapter_Optimal_Distances

andreas

On 23/04/2014 11:25, TL3SHI2 wrote:
In fact, I am not very clear about what you said, thank you anyway. By
the way do you know some other tools to detect whether two convex
polytopes intersect? I used swift, it seems to be not working. Can cgal
do this? I want to use it right now, it is a little difficult for me to
implement one in one or two days.

--
from my phone.


"Olivier Devillers-2 [via cgal-discuss]" <[hidden email]
</user/SendEmail.jtp?type=node&node=4659183&i=0>>编写:

Le 4/23/14 4:36 AM, TL3SHI2 a écrit :
Hi, Olivier,
I have a question for using duality to solve this problem.


Actually, duality exchanges points and hyperplanes preserving incidences,

to transform convex hull in intersection of half spaces, you do not need
hyperplanes but halfspaces, that is you have to define the relevant size
of your hyperplanes. So to this aim, you need a point known to be inside
the intersection.
So, the two problems are not completely equivalent.
(such a point can be determined solving a LP problem).


--
Olivier Devillers <http://www-sop.inria.fr/members/Olivier.Devillers/>,
chercheur à


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Chief Officer, GeometryFactory
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