Cubic trigonometric Bézier curves with shape parameters

A cubic trigonometric Bezier curve,which is called the CT-Bezier curve,with two shape parameters λ_1 and λ_2 is presented in this paper.The curve possesses most of the properties of the cubic Bezier cuve.By taking the different values of λ_1 and λ_2,the shape of the curve can be adjusted locally or totally,and two pieces of CT-Bezier curves can be connected with C~1 or C~2 continuity flexibly.The elliptic and parabolic arcs can be represented exactly by the CT-Bezier curve.