CGAL users discussion list

[Benjamin Bouscasse <>]

Thanks,
The smoothing is not a problem because my final goal is to obtain a list of points which are the centroids of each cell and each centroid is linked to a value which is the volume of the cell.  This would allow me to have a good spatially distributed list of points with a good approximation of the volume associated with each point (this is what I nead). The accuracy is same order than the other parts (fluid simulation) of the application.
I will try to correlate the criteria values in order to linked it to the final average value of the cells volume. I don't think it is very easy to do it. 

Benjamin

2010/5/26 Martin Baeker <>

Hi,

cannot really answer your question within CGAL, but be aware that the
mesh you create will not conform exactly to the polyhedron you start
with (i.e., nodes of the polyhedral mesh will not necessarily be nodes
of the 3D mesh - there is smoothing going on)

I have used both tetgen and netgen (you convert to off-files or
stl-files and mesh these structures).

Martin.

Hello,
No response, I hope this is not a stupid question !!!
So I try to semplify:
Why is the best way to obtain from a polyhedral domain a 3D mesh with almost
constant cell volume, and to be able to control in input that volume?

I would be very happy to have some tips, or indication of paper thesis
whatever!

Thanks,
Benjamin




2010/5/25 N2a <>

Hello,

I'm trying to generate a 3D mesh with cells of almost constant volume. I
obtain a correct result for a cube, meshing with the criteria given in the
manual Facet_ criteria (25,0.15,0.05) and Cell criteria (4,0.2) , and after
optimizing it with Lloyd algorithm.
I try to understand what is the best way to have a almost volume constant
tetrahedric mesh and if it is possible to set a criteria or a mathematical
relation between the criteria in order to control as a target the volume of
the cell.
My polyhedral domain will be quite complicated, like the internal part of a
ship hull.
I have some good results now but I would really like to have a generic
process that is able to generate the mesh whatever is the domain given only
in input the volume as a target.

I hope someone has a good strategy helping me to achieve this goal,
computation time is not a big problem.

Thanks in advance,
Benjamin

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