A Study on a Class of Rational Cubic Trigonometric Bézier Curves with Shape parameters

In this paper a rational cubic trigonometric Bézier curve based on trigonometric basis functions with shape parameters is presented. The basis function share the properties with Bernstein basis functions, so the generated curves inherit many properties of traditional Bézier curves. In this paper the shape parameters provides a local control on shape of the curve without changing the control polygon, by selecting suitable values of these parameters, which enables the designer to control the curve more than ordinary Bézier curve.