Smooth subdivision for mixed volumetric meshes
Hakenberg, Jan Philipp
Master of Arts
We derive stationary subdivision rules on bi-uniform volumetric grids consisting of pairwise combinations of tetrahedra, octahedra, triangular prisms and cubes. We refine the existing framework of quasi-interpolants so that weight stencils are obtained by algebraic manipulation. The joint spectral radius test proves that our combined schemes yield C 2 limit functions. Furthermore, we present an algorithm to subdivide an unstructured mesh consisting of the basic shapes enumerated above. The subdivision rules are generalized, such that smoothness is preserved across all faces and the effort of implementing the scheme remains low.
Mathematics; Computer science