Continuity Method based on C-B Spline Curves and C-Bézier

C-B spline can not represent semi-circle and semi-elliptical arcs precisely. This paper will discuss the nature of C-B spline’s and C-Bézier curve’s endpoints. Then, on the basis of the analysis of their characteristics and by means of adding control points to make C-B spline dominate the first and last vertices of the polygon and get tangency with the first and end sides. Thus it has given out the G 1 splicing method for C-B spline and C-Bézier curve which can represent the semi-circle arcs and semi-elliptical arcs of C-B spline, hence enhancing the controlling and presenting capacity of C-B spline.