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The advancing front technique is one of the techniques of automatic
triangulation which are amenable to the generation of stretched (sometimes
called anisotropic) meshes. Peraire * et al.*[2] has
described their modification of the basic technique for the generation of
an isotropic mesh, so that an anisotropic triangulation could be produced.
(They generate the surface meshes directly on the 3D surface, however.)
Let us denote by the transformation given by the stretch and the
rotation angle. The approach of Peraire * et al.* is based on the
inverse transformation which is applied to all geometric
entities in the neighborhood of the triangle to be generated. The original
distorted mesh is converted into a mesh that is (ideally) isotropic, so
that the advancing front algorithm does not have to take into account the
anisotropy. The disadvantage is the cost associated to the
transformation of a (potentially) large number of vertex coordinates. To
avoid these costs, the advancing front algorithm used in this work has been
based on heuristics which generate the stretched mesh directly.

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*Daniel Rypl *

2005-12-03