The rational quadratic Bezier-Like curve with G1 and G2 continuity

Abstract EN

In this work, the quadratic Bezier-Like curve with two shape parameters is discussed.

The rational quadratic Bezier-Like curve inherits all geometric properties of quadratic Bezier curve.

The shape of the curve can be adjust by altering the values of the shape parameters that provides a control on the shape of the curve.

Also in this paper, we finding new theorems of rational quadratic Bezier-Like curve to evaluate the minimum value of weights that guaranty the curve is not going out of its control polygon.

The composition of two segment of rational quadratic Bezier-Like curve using C1, C2, G1 and G2 continuity are studied.