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[cgal-discuss] Triangulate without hanging nodes on boundary


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  • From: Renato Poli <>
  • To:
  • Subject: [cgal-discuss] Triangulate without hanging nodes on boundary
  • Date: Thu, 5 Sep 2019 17:18:23 -0500 (CDT)
  • Authentication-results: mail3-smtp-sop.national.inria.fr; spf=None ; spf=SoftFail ; spf=Pass
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I need to refine only a selection of a coarse mesh, and I am using CGAL's CDT
(2D).
The boundary of the selection must be kept identical to the original one (no
hanging nodes allowed!).

I go through the following steps:
(1) extract the submesh set from the original mesh
(2) define the boundary of the submesh and add as a constrain Polygon
in CDT
(3) refine the submesh using a sizing field with the reference point
in the center of the submesh (I don't want to refine in the boundaries to
avoid hanging nodes!).
(4) reintegrate the submesh in the main mesh.

The problem is I am not able to avoid hanging nodes.
Please refer to the attached picture.

Is there an algorithm to ensure only the center of the submesh will be
refined, avoiding _completely_ the creation of hanging nodes on the
boundaries?

<http://cgal-discuss.949826.n4.nabble.com/file/t376144/delaunay_trriangulation.png>


Thanks for the help,
Renato



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