Adjustment algorithms for Bézier curve and surface

In this paper we construct a new kind of basis functions of Bézier curve with single shape parameter, and then by these basis functions we give a practical algorithm of curve modeling. We discuss some important properties of the basis functions and the corresponding curves. Further, we extend our study to the tensor product surface with two shape parameters. We construct the new basis functions of the surface and discuss the properties of these basis functions and the surface correspondingly.