Dimensions of Bivariate Quintic Spline Spaces over Generalized Type-II Triangulations

摘要

In this paper, a class of four-corner quadrangulation is introduced, which is homeomorphic to a rectangular partition of a retangle. Then, by adding two diagonals of each quadrilateral in four-corner quadrangulation, a generalized type-II triangulation is obtained. By using the method of Bozier-net, a minimal determining set for bivariate quintic spline space over generalized type-II triangulation is constructed and dimensions of bivariate quintic spline space over generalized type-II triangulation are given.