Bernstein polynomial

The Bernstein polynomials of n are defined by

Bin(t)=(ni)ti(1-t)n-i  i=0,1,2,,n

where (ni) is the binomial coefficientDlmfDlmfMathworldPlanetmath.

Bernstein polynomials are used extensively in interpolation theory and in computer graphics. They can be computed efficiently using the de Casteljau’s algorithm.


  • 1 Gerald Farin, Curves and Surfaces for CAGD, A Practical Guide, 5th edition, Academic Press, 2002.
Title Bernstein polynomial
Canonical name BernsteinPolynomial
Date of creation 2013-03-22 14:15:25
Last modified on 2013-03-22 14:15:25
Owner stitch (17269)
Last modified by stitch (17269)
Numerical id 9
Author stitch (17269)
Entry type Definition
Classification msc 65D17
Synonym Bernstein basis polynomials
Synonym Bernstein basis functions