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Re: [cgal-discuss] Re: Number of tetrahedra


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  • From: Mariette Yvinec <>
  • To:
  • Subject: Re: [cgal-discuss] Re: Number of tetrahedra
  • Date: Thu, 17 Jan 2013 22:43:07 +0200


Le 17/01/13 17:39, Zohar Levi a écrit :
I posted a reply through the site, but it got mangled. So I send it again by email:

Okay,

1. Can I say something more specific using the generalized Euler formula?

2. I measured 5 models:

Cylinder tets: 12971, ver: 4802, tri: 9600 tets/ver: 2.7012
Aramdillo tets: 607019, ver: 175349, tri: 350694 tets/ver: 3.4618
Cactus tets: 18831, ver: 5261, tri: 10518 tets/ver: 3.5794
Octopus tets: 509435, ver: 149950, tri: 299896 tets/ver: 3.3974
Elephant tets: 167542, ver: 47560, tri: 95128 tets/ver: 3.5228

and the average seems around 3.4; so I found models below the 7-8 average?
I cited the ratio 7-8 from what I remember,
and if I remember well this ratio was referring to triangulations
of set of points, that is triangulation that fill the convex hull
of the vertices.
The difference with your results might come from the fact that you have no internal points
and do  not count tetrahedra outside of the object


3. Do you have more tips for me (maybe a reference)?

Thanks



-- 
Mariette Yvinec
Geometrica project team
INRIA  Sophia-Antipolis  





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