Automatic Hybrid Mesh Generation

The main contribution of the proposed
method is the presented front propagation methodology which
is directly inspired from marching technology. All the
points located on the original front are propagated along
the local normal directions. The main difference between the
current method and traditional marching methods lies in the
way that local normal direction is computed. Traditionally,
the local normal directions are computed using geometric
information, such as the average normal of neighboring
points or facets surrounding the point to be propagated. In
this method, the local normal directions are calculated
using the solution of a variation of the Eikonal equation.
The benefit of calculating normal directions in such a way
is that self-intersections are avoided in a natural way.
Since normal directions are represented using the numerical
solution of the PDE, propagation is thus performed in the
field of the solution of the equation rather than geometric
space. In addition, the proposed method transports the
original parameterization to the propagated surface in a
one-to-one manner between the original front and its offset,
which allows rigorous matching of block interfaces