Quadratic Trigonometric Bézier Curves Based on Three-Points Shape Parameters

Quadratic trigonometric polynomial Bezier curves with a shape parameter are presented in this paper.The trigonometric polynomial curves retain the main superiority of the quadratic Bezier curves.With the shape parameters,the trigonometric polynomial curves can approach more to the quadratic Bezier curves or to the given control polygon than the quadratic Bezier curves.Shape parameters have the property of geometry,the larger is the parameter,the more the curves approach to the control polygon.The curves represent ellipse and circle precisely.The G2 and C3-continuity condition of two-piece trigonometric polynomial Bezier curves are also discussed.