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 (19181990)