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Re: [cgal-discuss] efficiency of the point-in-polyhedron test


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  • From: "Dr. Liu Jianfei" <>
  • To: <>
  • Subject: Re: [cgal-discuss] efficiency of the point-in-polyhedron test
  • Date: Tue, 16 Oct 2007 20:49:11 +0800

hi,Matthijs Sypkens Smit
3D BSP can't be considered since its huge memory requirements.
I am also interested in the conforming DT, though it isn't practical one.
would you kind to tell me the conclusions and results or discoveries of yours
after finished your implementation. Cohen-Steiner's algorithm is certainly
unpractical , you have to put some new ideas into it.

> Dear Laurent,
>
> I do not have an implementation of a 3D BSP. For the construction of
> constrained Delaunay triangulations I have been using Tetgen[1]. Tetgen
> creates the triangulation and from Tetgen's datastructure I construct a
> CGAL Triangulation, that is effectively a CDT. Drawback is that I had to
> make a small modification to the Tetgen source. I think it should be
> possible to do it without the modification, but I don't have that
> currently. Also, Tetgen fails on some models. I have not investigated it
> in detail, so I cannot be sure if it is the robustness of Tetgen or that
> the fault lies with the models.
>
> 1] http://tetgen.berlios.de/
>
> So, I guess the answer depends on your definition of "usable for the task".
> If you are still interested, I can send you code/instructions privately.
> It is by no means suitable for release or incorporation into CGAL.
>
>
> I have also partly implemented the algorithm of Cohen-Steiner/de
> Verdière/Yvinec for creating a conforming Delaunay triangulation. This is
> not finished yet, but it is very slow and resource-intensive on large
> models (containing a lot of triangles). It also tends to yield many more
> elements than you originally started with.
>
>
> --
> Matthijs Sypkens Smit
>
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