Rational Bézier curves

The rational Bézier ambit adds adjustable weights to accommodate afterpiece approximations to approximate shapes. The numerator is a abounding Bernstein-form Bézier ambit and the denominator is a abounding sum of Bernstein polynomials. Rational Bézier curves can, a part of added uses, be acclimated to represent segments of cone-shaped sections exactly.4

Given n + 1 ascendancy credibility Pi, the rational Bézier ambit can be declared by:

or simply