Shape Control of the Rational Quadratic Trigonometric Bézier Curve with two Shape Parameters

A rational quadratic trigonometric Bézier curve with two shape parameters, which is analogous to cubic Bézier curve, is presented in this paper. The shape of the curve can be adjusted as desired, by simply altering the value of shape parameters, without changing the control polygon. The rational quadratic trigonometric Bézier curve can be made close to the rational cubic Bézier curve or closer to the given control polygon than the rational cubic Bézier curve. The ellipses and circles can be representation exactly by using rational quadratic trigonometric Bézier curve.