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[cgal-discuss] Vertical ray shoot in triangulation


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  • From: Winnie Hellmann <>
  • To:
  • Subject: [cgal-discuss] Vertical ray shoot in triangulation
  • Date: Fri, 06 Jan 2012 14:02:26 +0100

Dear list,

I am trying to find all vertices and edges of a triangulation (Constrained_Delaunay_triangulation_2) that intersect with an vertical upward ray with given x-coordinate. My first approach was to use the Triangulation_line_face_circulator_2, which fails in case the ray is collinear to a vertical edge on the left side of the triangulation's convex hull (see [1] and [2], and alo l2 in [3]).

Does CGAL provide a linear time possibility to do a vertical ray shoot in a triangulation? Copying the whole triangulation (e.g. into an arrangement) is not an option.

Thank you in advance,
Winnie Hellmann

[1] http://www.winniehell.de/tmp/cgal/input.svg
[2] http://www.winniehell.de/tmp/cgal/triangulation.svg
[3] http://www.cgal.org/Manual/latest/doc_html/cgal_manual/Triangulation_2_ref/Class_Triangulation_2.html#Triangulation_ref_Fig_Line_face_circulator



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