CGAL users discussion list

[markus <>]

You are right. It is really hard to convert a parametric form to an implicit
form. Perhaps for some equations it isn't possible at all.

Let me come back to what you have written in your first post:

> 1. Your domain is a simple rectangle: [-pi/2, pi/2] x [0, 2 pi]. Trivially
> triangulate it with a regular 
> grid (divide the rectangle into a regular grid using two orthogonal sets
> of evenly spaced parallel lines, 
> and triangulate the grid). 
> 2. Map each triangle to the surface, using your parametric function. While
> there's a surface triangle 
> with area above some threshold, subdivide it (subdivide in the domain, and
> map to the surface).

This is a good idea. I only wonder why exactly your idea or something
similar isn't already implemented in CGAL? I could not be the only one who
try to triangulate a surface that is described by an parametric form.




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