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##

Real Space Meshing

The surface discretization in the real space is constrained directly
to the surface body. The parametric space of the surface is
not explicitly used for the mesh generation but it is used to perform
some local operations. The meshing is done using the AFT. This technique exhibits
several advantages, namely the high quality runtime point placement and
geometrical locality, that are important for its application to 3D surfaces.
Both features are related to the curvature of 3D surfaces which
requires a specific treatment within the context of the direct approach.
The first feature guarantees that the generated mesh represents well
the underlying surface (or its part) at each step of the method and
that the geometrical operations are performed close to the surface.
The second one ensures that geometrical operations are also performed
only in the small neighbourhood of the inserted node. This makes the
AFT on the surface robust and efficient.

The mesh generation is carried out in a hierarchical manner. Firstly,
the boundary curves of the surface are discretized using
the mass curve of the required element density. The AFT is then
applied to triangulate the actual surface.

**Subsections**

** Next:** Boundary Curves Discretization
**Up:** Direct Triangulation of 3D Surfaces
** Previous:** Surface Projection
*Daniel Rypl *

2005-12-07