A G~2-Subdivision Algorithm

摘要

In this paper we present a method to optimize the smoothness order of subdivision algorithms gen- erating surfaces of arbitrary topology. In particular we construct a subdivision algorithm with some negative weights producing G~2-surfaces. These surfaces are piecewise bicubic and are flat at their extraordinary points. The underlying ideas an also be used to improve the smoothness order of sub- division algorithms for surfaces of higher degree or triangular nets.