Continuous conditions between C-Bézier curves and NURBS curves

The C-Bezier curves are new representation forms of parametric curves that can represent precisely the quadratic curves.The G~(1) and G~(2) continuous conditions between the C-Bezier curves and Bezier curves,the C-Bezier curves and the rational Bezier curves,and the C-Bezier curves and B-spline curves are discussed.The way of computing the offset curve of the C-Bezier curve is given.