MTH subdivision scheme with sharp and semi-sharp features

Abstract

In this paper, a new non-stationary bivariate subdivision scheme is proposed to obtain a more flexible limit surface. By rewriting the univariate subdivision scheme (Fakhar et al., 2022) under two different methods, the tensor product and the subdivision rules for extraordinary points/faces are constructed. The new scheme produces continuous limit surfaces of higher order, except at extraordinary points/faces where the continuity is G1. Algorithms for generating sharp and semi-sharp features on the hybrid subdivision surface are presented. Numerical examples are also given to show the performance of these new schemes.