CGAL users discussion list

[Mariette Yvinec <>]

If you build the  mesh with  mesh criteria
including an explicit small enough cell_size,
you will get a mesh with a uniform sizing field.
This means that all the cells will have
nearly the same radius of their circumsphere.
For this to be true, the  cell size parameter should be small enough
compared to the details in the domain boundary.

Then, if the mesh is optimized, the volume of each cell
should be not too small with respect to the volume
of its circumsphere ....
so that you should get cells with about the same
volume ...


Benjamin Bouscasse wrote:

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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Mariette Yvinec
Geometrica project team
INRIA  Sophia-Antipolis