Polynomial form

Sometimes it is adorable to accurate the Bézier ambit as a polynomial instead of a sum of beneath aboveboard Bernstein polynomials. Application of the binomial assumption to the analogue of the ambit followed by some barter will yield:

where

This could be applied if can be computed above-mentioned to abounding evaluations of ; about one should use attention as top adjustment curves may abridgement numeric adherence (de Casteljau's algorithm should be acclimated if this occurs). Note that the abandoned artefact is 1.