Mesh Refinement over Triangulated Surfaces
Résumé
We consider an implementation of Farin's algorithm, with some modifications, for \lq $C^1$\rq Bézier interpolation of a surface known only by an arbitrary triangulation. This algorithm was originally developed as a tool for computer aided design software, but it can be useful for visualization of Finite Element software outputs in numerical analysis and in remeshing problems of a given surface with unknown parametrization. The method is implemented in C++ with automatic mesh refinement in mind.