Hamilton-Jacobi Equation on a Manifold, and Applications to Mesh
Generation or Refinement.
Philippe Hoch and Michel Rascle
In this paper, we consider Hamilton-Jacobi equations on a manifold,
typically on the graph of some previously computed function z(x,y) and
we show how the corresponding level set method allows to generate and/or
to refine a mesh in regions where this function z has large derivatives.
Such as it is, the method needs to be strongly improved and accelerated,
but the principle is awfully natural, and the method is in principle fully
automatic. Similar ideas could also be useful in image processing, in
particular for the active contours method.
- Available as PostScript (1.75 Mbytes)
- Philippe Hoch,
- Michel Rascle,
- Publishing information:
- Submitted by:
September 22 1999.
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Last modified: Thu Sep 23 13:17:09 1999