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Re: [cgal-discuss] Delaunay triangulation


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  • From: Andreas Fabri <>
  • To:
  • Subject: Re: [cgal-discuss] Delaunay triangulation
  • Date: Thu, 24 Apr 2008 15:07:21 +0200


There is a symbolic vertex at infinity with a cell per triangle
face on the convex hull.

When you use the constructor or insert function with
an iterator range the points get sorted along a
space filling curve. If you insert them point bty
point it should maintain your order.

andreas


wrote:
I am trying to use CGAL in some program. I tried to compute simple example to
understand structure of the results which CGAL gives. This example was
Delaunay triangulation of pyramid with vertices
1 0 0
0 1 0
-1 0 0
0 -1 0
0 0 1 .

CGAL has given results

5
0 0 1
-1 0 0
0 1 0
1 0 0
0 -1 0
8
0 1 3 4
3 2 1 0
2 1 0 5
5 1 0 4
5 0 3 4
1 5 3 4
1 2 3 5
2 0 3 5

The list of cells created by CGAL contains six various indices (0..5) into list of vertices. But the list of vertices contains only five vertices. I don’t understand correspondence between the indices and the vertices.
The list of vertices contains vertices in different order than is the order in which I inserted them into list of points from which triangulation is constructed. I don’t know if I have made some mistake during insertion of vertices into the list or the different order has some meaning.
Arnost Vecerka



  • Delaunay triangulation, vecerka, 04/24/2008
    • Re: [cgal-discuss] Delaunay triangulation, Andreas Fabri, 04/24/2008

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