Remeshing by curvature driven diffusion

We use various partial differential equation (PDE) models to efficiently solve several surface processing, including reconstruction, smoothing, and remeshing. In particular, we propose a new adaptive remeshing strategy for the regularization of arbitrary topology triangulated surface meshes. Unlike existing sophisticated parametric remeshing techniques, our explicit method redistributes the vertices on the surface by keeping all edges on element stars approx-imatively of the same size, and areas proportional to the surface features. At this aim we solve a two-step PDE model using discrete differentialgeometry operators suitably weighted to preserve surface curvatures and to obtain a good mesh quality, that is well-shaped triangles. Several examples demonstrate that the pro-posed approach is simple, efficient and gives very desirable results especially for surface models having sharp creases and corners.