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Re: [cgal-discuss] Triangulation: Strange Edges


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  • From: Andreas Fabri <>
  • To: Thomas Zangl - Home <>,
  • Subject: Re: [cgal-discuss] Triangulation: Strange Edges
  • Date: Thu, 21 Jun 2007 07:56:12 +0200

Thomas,

Forget my previous posting.

Dual edges may be outside the convex hull. Take the attached
illustration. The dual of the triangle is outside the triangle,
because the Voronoi vertex is the center of the circumsphere of
the triangle. Hence the dual edge of the upper left edge
of the triangle does not intersect the edge.

andreas


ps.: Can you please remove your reply-to field
It makes little sense to raise questions to a
list and expect private answers. Others may
have the same question (maybe later, so they
search the archive), and additionally it shows
that this is not a black hole where questions
disappear unanswered



Thomas Zangl - Home wrote:
Am Wed, 20 Jun 2007 16:57:13 +0200, schrieb "Andreas Fabri" <>:
With weight 1 it should be the same as a Delaunay
triangulation.

I tried it with a Delaunay Triangulation with the same result. I see
these edges created by the dual voronoi diagram here:
Triangulation-edge: 55.2482 -0.0703464 51.4652 2.69164e-06 creates:
50.4596 -155.826 52.5008 -46.0617

Triangulation-edge: 49.4532 -1.88372e-06 55.2482 -0.0703464 creates:
50.4596 -155.826 48.4359 -322.535

Strange dual edges?

Shouldn't the dual edge of a triangulation intersect the triangulation
edge?

Best regards,

PNG image




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