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Re: [cgal-discuss] Alternative to Shewchuk's triangle


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  • From: Zohar <>
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  • Subject: Re: [cgal-discuss] Alternative to Shewchuk's triangle
  • Date: Wed, 20 Mar 2019 17:04:24 -0500 (CDT)
  • Authentication-results: mail2-smtp-roc.national.inria.fr; spf=None ; spf=Neutral ; spf=Pass
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Thanks, I'll check that.

Motivation: Mapping to a given boundary that can't change. Generating the
map usually involves discretizing the interior, i.e. a triangulation without
Steiner points on the boundary.

An example:
[Weber14 "Locally Injective Parametrization with Arbitrary Fixed
Boundaries"]
In Fig. 16, the mesh is cut and mapped to a non-convex (planar polygonal)
boundary. If I want to triangulate (remesh) this polygon and glue it back to
a surface, the twin seam edges need to correspond. Adding Steiner points
haphazardly on them may compromise that.

A 3D example:
[Levi15 "Smooth Rotation Enhanced As-Rigid-As-Possible Mesh Animation"]
In Fig. 1, the 4th cylinder is a surface deformation done with discretizing
the interior and deforming the tets. This without changing the given
surface. TetGen was used for the task instead of CGAL for a similar reason.




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