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


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  • From: TL3SHI2 <>
  • To:
  • Subject: Re: [cgal-discuss] Intersection of two CONVEX 3D polyhedrons
  • Date: Wed, 23 Apr 2014 02:25:21 -0700 (PDT)

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]>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, chercheur à



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