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Re: [cgal-discuss] lower bound on element size


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  • From: Mariette Yvinec <>
  • To:
  • Subject: Re: [cgal-discuss] lower bound on element size
  • Date: Sun, 05 Dec 2010 12:27:07 +0100

Did you try to weaken the criteria of Delaunay refinement,
distance_bound, angular_bound and  radius_edge_bound.
This may prevent the Delaunay refinement process to
overrefine  the mesh in some places.

Le 02/12/10 11:15, Dominik Szczerba a écrit :
Indeed, I am talking about generating tets from segmented images.

As I said, I am getting 12 orders of magnitude span in the element
sizes, which makes the resulting mesh unsuitable to some computations.
In particular, I am running out of numerical precision on such meshes
in some cases. Are there practical ways to prevent this from
happening?

Dominik

On Thu, Dec 2, 2010 at 10:44 AM, Laurent Rineau (GeometryFactory)
 wrote:
On Wednesday 01 December 2010 22:00:45 Dominik Szczerba wrote:
Hi

I need to impose LOWER bound on element size. According to the latest
documentaiton:

the radius bound: This parameter controls the size (edge length) of
mesh cells. Actually, it is an upper bound on the circumradii of the
mesh tetrahedra.

I can only provide the UPPER bound. However, in my cases, the smallest
generated element is 10 orders of magnitude smaller than the biggest
one, resulting in numerical precision problems in subsequent
computations.

Is there a way to specify the SMALLEST allowed element size or
otherwise control its size?
My guess is that you are talking about one of the mesh generators of CGAL.

Anyway, both the 2D-, surface-,or 3D- mesh generators of CGAL work the same
way: you cannot specify a lower bound on the elements sizes.

--
Laurent Rineau, PhD
R&D Engineer at GeometryFactory           http://www.geometryfactory.com/
Release Manager of the CGAL Project       http://www.cgal.org/

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