Generalized Ball Curves of Ninth Degree

Two kinds of polynomial bases with parameter are constructed in this paper. Based on these bases, two kinds of curves with shape parameter are defined. The first kind of curve contained the Wang-Ball and Said-Ball curve of ninth degree and many curves located between them. The second kind of curve contained the Said-Ball and Bezier curve of ninth degree and many curves located between them. By analyzing the relation between the new curves and the Bezier curve of ninth degree, the geometric meaning of the shape parameters are gotten, and the geometrical drawing method of the new curves are given out in virtue of the de-Casteljau algorithm of the Bezier curve.