Bernstein Polynomial

In the mathematical field of numerical analysis, a Bernstein polynomial, named after Sergei Natanovich Bernstein, is a polynomial in the Bernstein form, that is a linear combination of Bernstein basis polynomials.

A numerically stable way to evaluate polynomials in Bernstein form is de Casteljau's algorithm.

Polynomials in Bernstein form were first used by Bernstein in a constructive proof for the Stone–Weierstrass approximation theorem. With the advent of computer graphics, Bernstein polynomials, restricted to the interval x ∈, became important in the form of Bézier curves.

Read more about Bernstein Polynomial:  Definition, Example, Properties, Approximating Continuous Functions

Famous quotes containing the word bernstein:

    Technique is communication: the two words are synonymous in conductors.
    —Leonard Bernstein (1918–1990)