Dimensions of Bivariate Sextic C2 Spline Spaces over Generalized Type-II Triangulations

摘要

It is well-known that, the algebraic structure of bivariate spline spaces over arbitrary regular triangulations is an extremely complicated problem. Therefore, people turned to study bivariate spline spaces over some special triangulations. In this paper, by using the Bezier-net method and the technique of minimal determining sets, the dimension of bivariate sextic C2 spline space over a kind of generalized type-II triangulations is studied.