CGAL users discussion list

["Sebastien Loriot (GeometryFactory)" <>]

On 03/27/2018 02:06 AM, Shankar Kulumani wrote:
> I am using the tutorialhere 
> <https://doc.cgal.org/latest/Surface_mesher/Surface_mesher_2mesh_an_implicit_function_8cpp-example.html>to 
> generate a mesh given an implicit function (an ellipsoid).
>
> I have two questions:
>
>  1.
>
>     Is there a method to relate the mesh generation parameters
>     (|angular_bound|,|radius_bound|, and|distance_bound|) to the
>     resulting number of vertices and/or faces of the resulting mesh?
No you can't, the criteria allos to control the size and shape of the
triangles, as well as the error of the mesh wrt the input.

>  2.
>
>     Is there a method to ensure a uniform mesh over the surface? For
>     example, this Matlab code offers a uniform mesh generation
>     functionDistMesh <http://persson.berkeley.edu/distmesh/>.

As described here:
https://doc.cgal.org/latest/Surface_mesher/classCGAL_1_1Surface__mesh__default__criteria__3.html

If you want something uniform, you should pass the expected size
to radius_bound. However, note that all the triangles generated will
all have to respect the error or angle criteria. So in some parts
of you mesh you might have triangles thiner than expected (basically
where you have curvature). If you put looser value for these criteria
then the radius_bound should be the one imposing the constraints on
triangles generated.

Sebastien.

> Thank you