Bernstein–Bézier form

Summary

The Bernstein–Bézier form writes a polynomial in the Bernstein basis adapted to an interval, or to a simplex in several variables. Its coefficients, the Bézier coefficients, behave like control points. The polynomial lies between their minimum and maximum, and it agrees with the end coefficients at the endpoints. This form is numerically stable and is the standard way to store and manipulate polynomial pieces of splines and Bézier curves.