On Shape Control of a Quartic Trigonometric Bézier Curve with a Shape Parameter

In this paper, we have constructed a quartic trigonometric Bézier curve with single shape parameter. The shape of the curve can be adjusted as desired, by simply altering the value of shape parameter, without changing the control polygon. The quartic trigonometric Bézier curve can be made close to the quartic Bézier curve or closer to the given control polygon than the quartic Bézier curve. The representation of ellipse and circle are more accurate and act by using quartic trigonometric Bézier curve. Approximation property has been discussed.