Bézier curves are special types of rational curves, which use Bernstein bases to represent the polynomial functions.

A Bézier parametric curve is the image of a map of the form

where are the control points, and , are the Bernstein basis elements of degree for the interval .

A rational Bézier curve is constructed as follows:

where are the weights of the control points (usually ).

The degree of the parametrisation is .