The Connection Problem Of The Bivariate Quadratic Spline On Some Triangulations

In computational geometry, surface modeling is an important research direction, B-spline surface. Bezier surface and smooth co-factor coordinating method are the main methods of surface modeling, and the difficulty of surface modeling is the smooth connection of surfaces. In this paper, we discuss the smooth connection problem of the bivariate quadratic polynomial spline functions on some triangulations with the method of smooth co-factor. Basing on the coordinating equations of multivariate spline space, we firstly study the smooth connection problem of the bivariate quadratic polynomial spline functions which defined on the polygonal region with one interior net...