Size Functions and Mesh Generation for High-Quality Adaptive Remeshing

We present a new method for remeshing of triangular and tetrahedral meshes. Relative element sizes are computed from an error estimation. Then their gradient is limited in an optimal way by solving a Hamilton-Jacobi equation numerically. The new mesh is generated using smoothing-based iterations with connectivity updates (changes in topology of the mesh). The boundary nodes are projected using an implicit geometry representation based on distance functions. Our algorithm is simple and efficient, and it produces high-quality meshes