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In this paper a class of quartic trigonometric Bézier curve, called QT Bézier curve, with two shape parameters is presented. These curves not only inherit most properties of the usual quartic Bézier curves in the polynomial space, but also enjoy some other advantageous properties for shape modelling. The shape of the curve can be adjusted by altering the values of shape parameters while the control polygon is kept unchanged. With the increase of the shape parameter, the curve approaches to the control polygon. When the shape parameters are chosen properly, the QT Bézier curves can be used to represent ellipse precisely.

A Class of QT Bezier Curve with Two Shape Parameters