Bernstein polynomial. July, 2018. Page Version ID: 852820508Paper abstract bibtex 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 [0, 1], became important in the form of Bézier curves.
@misc{noauthor_bernstein_2018,
title = {Bernstein polynomial},
copyright = {Creative Commons Attribution-ShareAlike License},
url = {https://en.wikipedia.org/w/index.php?title=Bernstein_polynomial&oldid=852820508},
abstract = {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 [0, 1], became important in the form of Bézier curves.},
language = {en},
urldate = {2018-08-03TZ},
journal = {Wikipedia},
month = jul,
year = {2018},
note = {Page Version ID: 852820508}
}
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