FEATURE RECOGNITION AND REMESHING BY LOCAL HERMITE DIFFUSE INTERPOLATION

摘要

We propose a method to adapt a three-dimensional surface mesh. The data needed to optimize the mesh have been reduced to an initial mesh. The building of the geometrical model is based on a local Hermite interpolation calculated from the nodes of the initial mesh and from the normal vectors to the surface calculated from the mesh. The determination of an interpolating local surface equation, however continuous over the domain, enables us to locate nodes on the surface with respect to the curvature during a refinement process. It also allows us to control the coarsening of the mesh. The local surface equation is used to compute the principal curvatures on the surface for two main purposes, error estimation and feature recognition. The remeshing procedures are used to refine or coarsen the mesh but also in a final step to enhance the shape quality of the elements.