CGAL users discussion list

[Laurent Rineau <>]

On Thursday 08 March 2007 19:18:16 Matthieu Chavent wrote:
> Hello Everybody,
>
> I would like to mesh an hyperboloid implicit surface (equation is: -x2 +
> y2 +z2 -R ). In order to perform that, I used the little script in the
> CGAL manual ( In the 3D surface mesher section). It works well for the
> sphere equation but crashes for the hyperboloid equation.

The 3D surface mesher is not adapted to mesh unbounded surfaces.

What bounding sphere have you used? You should read the manual. You need a 
bounded surface, with an interior (for example the union of the bounded 
components) and an exterior (the unbounded component), at least. You also 
need to defined a bounding sphere, whose center is in the interior of the 
surface.

There are subtleties if your surface have multiple connected components (you 
need several input points on each components). I can help you to deal with 
that.

But, as for the hyperboloid... You will need to make it bounded in a way.

-- 
Laurent Rineau
INRIA - Sophia Antipolis
BP 93, 2004 Route des Lucioles
06902 Sophia Antipolis Cedex FRANCE
Phone: +33 4 92 38 71 54