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Re: [cgal-discuss] triangulating Polygon_with_holes_2


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  • From: Mariette Yvinec <>
  • To:
  • Subject: Re: [cgal-discuss] triangulating Polygon_with_holes_2
  • Date: Mon, 25 Jan 2010 09:20:30 +0100

A good way to triangulate a polygon,
either with holes or not,
is to use a constrained Delaunay triangulation.
This yields a Triangulation filling the whole convex hull of the vertices
but where faces that are inside the polgons can be marked.

Remi wrote:
I have an instance of Polygon_with_holes_2. First I call
connect_holes(..) to get rid of the holes and then I call
optimal_convex_partition_2(..) with the list of vertices
connect_holes(..) gave me.
But the precondition check in optimal_convex_partition_2(..) fails. It
says that the list of input vertices doesn't represent a simple
polygon! (is_simple_2(..) returns false). Isn't connect_holes(..)
supposed to produce a simple polygon?
Is optimal_convex_partition_2(..) the best way to triangulate
polygons, especially polygons with holes?
I'm a beginner so any input is appreciated.


--
Mariette Yvinec
Geometrica project team
INRIA Sophia-Antipolis





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