Back متعددة الحدود لبيرنشتاين Arabic Bernsteinův polynom Czech Bernsteinpolynom German Πολυώνυμο Μπέρνσταϊν Greek Polinomio de Bernstein Spanish چندجملهایهای برنشتاین Persian Polynôme de Bernstein French פולינום ברנשטיין HE Bernsteinov polinom Croatian Polinomio di Bernstein Italian
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In the mathematical field of numerical analysis, a Bernstein polynomial is a polynomial expressed as a linear combination of Bernstein basis polynomials. The idea is named after mathematician Sergei Natanovich Bernstein.
Polynomials in Bernstein form were first used by Bernstein in a constructive proof for the Weierstrass approximation theorem. With the advent of computer graphics, Bernstein polynomials, restricted to the interval [0, 1], became important in the form of Bézier curves.
A numerically stable way to evaluate polynomials in Bernstein form is de Casteljau's algorithm.
