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[cgal-discuss] Circulator order and Voronoi Cell from Vertex_handle


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  • From: Raul Gallegos <>
  • To:
  • Subject: [cgal-discuss] Circulator order and Voronoi Cell from Vertex_handle
  • Date: Thu, 20 Jun 2013 11:24:37 -0500

Hello,

I am getting the voronoi cell (a Polygon_2) from a Vertex_handle, on a constrained Delaunay Triangulation.

Getting the points of the Polygon is easy when all the faces aren't constrained (blind), because you only use a Circulator to get all the faces incident to the Vertex_handle and get their circumcenters.

When there is Constrained it becomes a pain, because you need to calculate the points of that polygon that intersect with the constraint.

I got this points by using the middle point of the current Vertex_handle comparing it with the vertex_handle on the current face of the circulator, and it works, I get the points.

I have a problem understanding which is the order of a circulator, is it cw? ccw?, because to get a Polygon_2 I have to get the points in order, if not it becomes a totally different Polygon.

Can someone help me with this? first let me understand which is the order of a Circulator (for 2D meshes) and maybe if there is an easier way to get the voronoi cell from a Vertex_handle for Constrained Delaunay Triangulations.

Thank you.
--
Raul O. Gallegos Hidalgo



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