Adaptive Tangential Remeshing

We propose a new adaptive remeshing strategy for the regularization of arbitrary topology triangulated surface meshes. Unlike existing techniques based on sophisticated parametric remeshing, our explicit method redistributes the vertices on the surface by keeping all edges on element stars approximately of the same size, and all areas proportional to the surface features. To this end we solve a two-step partial differential equation (PDE) model using discrete differential geometry operators suitably weighted to preserve surface curvatures and to obtain a good mesh quality, that is to say, well-shaped triangles. Several examples demonstrate that the proposed approach is simple, efficient and gives very desirable results especially for surface models having sharp creases and corners.