Perturbations and Vertex Removal in a 3D Delaunay Triangulation
Résumé
Though Delaunay triangulations are very well known geometric data structures, the problem of the robust removal of a vertex in a three-dimensional Delaunay triangulation is still a problem in practice. We propose a simple method that allows to remove any vertex even when the points are in very degenerate configurations. The solution is available in \cgal\footnote{\texttt- {http://www.cgal.org} (releases 2.3 and 2.4)}.