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Re: [cgal-discuss] 3D Voronoi Intersection with Terrain Triangulation


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  • From: Andreas Fabri <>
  • To:
  • Subject: Re: [cgal-discuss] 3D Voronoi Intersection with Terrain Triangulation
  • Date: Sun, 30 Sep 2012 15:06:29 +0200
  • Organization: GeometryFactory


Well, YOU write you need a 3D Voronoi diagram.
Or do you mean a 2D Voronoi diagram, where you
construct vertical walls on the 2D Voroni edges?

andreas

On 30/09/2012 13:18, Manu Kaul wrote:
Thanks Andreas. Are you sure its the Delaunay_3D and not the
CGAL::Delaunay_triangulation_2
<http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Triangulation_2_ref/Class_Delaunay_triangulation_2.html#Cross_link_anchor_1329>
?

On Sun, Sep 30, 2012 at 12:47 PM, Andreas Fabri
<
<mailto:>>
wrote:

On 29/09/2012 19:31, Manu Kaul wrote:

Hi All,
Is it possible to intersect a 2D Delaunay terrain triangulation
with a
3D Voronoi diagram to compute the triangles that are intersected
by the
Voronoi diagram?
I have to choose a small subset of the triangulation's vertices
as my
points for the 3D Voronoi generation. Wondering if someone could
please
point me out
to some documentation on how I can do this in CGAL. I couldn't
find a 3D
Voronoi generation in CGAL docs.

Cheers,
Manu


Hello,

The 3D Voronoi diagram is not there explicityely.
Instead you construct a 3D Delaunay triangulation
and then call the method "dual" for the cells to
obtain the corners of the Voronoi cells.

andreas

--
Andreas Fabri, PhD
Chief Officer, GeometryFactory
Editor, The CGAL Project

phone: +33.492.954.912 <tel:%2B33.492.954.912> skype: andreas.fabri

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--
Andreas Fabri, PhD
Chief Officer, GeometryFactory
Editor, The CGAL Project

phone: +33.492.954.912 skype: andreas.fabri



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