Abstract
A class of cubic trigonometric Bezier curve with a shape parameter analogous to the cubic polynomial Bezier curve is presented in this work. The cubic trigonometric Bezier curve inherits properties similar to those of cubic polynomial Bezier curve, and the shape of the curve can be adjusted by changing the value of the shape parameter. In proper conditions, the cubic trigonometric Bezier curve can be used to exactly represent ellipse and parabola.
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