July, 2018. Page Version ID: 852820508

Paper abstract bibtex

Paper 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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