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Re: [cgal-discuss] Perturbations in CGAL


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  • Subject: Re: [cgal-discuss] Perturbations in CGAL
  • Date: Wed, 18 Jun 2008 12:55:57 +0200

Hi,

From the url you give, the title of [1] actually mentions "Cupgal", not CGAL, and this is quite an old paper. I am not sure what was integrated in CGAL.

For instance, the abstract (I have not read the paper) of [1] mentions Delaunay triangulations, which actually don't use these random linear perturbations at all in CGAL. The CGAL 3D Triangulation uses symbolic perturbations,
- introduced in a SODA paper: http://hal.inria.fr/inria-00166710/
- generalized here: https://hal.inria.fr/inria-00090522
(journal version in preparation)

best,
Monique Teillaud

Ashwin Nanjappa wrote:
Hi,

I recently read the paper "An Easy to Use Implementation Of Linear Perturbations Within CGAL" [1]. The authors describe random linear perturbations they applied onto the input point set. The paper also lists some perturbation types/classes/functions in CGAL like CGAL_Epsilon_polynomial and CGAL_perturb. I couldn't find any of these in the current CGAL documentation, except for perturb_points_2().

Are there any other implementations/examples of random linear perturbation in the current version of CGAL?

[1] <http://dx.doi.org/10.1007/3-540-48318-7_15>

Regards,
~ash




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