Bernstein basis polynomial

English

Etymology

Named after Sergei Natanovich Bernstein (1880–1968), a Russian and Soviet mathematician of Jewish origin.

Noun

Bernstein basis polynomial (plural Bernstein basis polynomials)

1. (mathematical analysis, numerical analysis) Any polynomial of the form $b_{i,n}(t)={n \choose i}t^{i}(1-t)^{n-i}\!\!$, being the i ^th term of the binomial expansion of $(t+(1-t))^{n}\!$.

Meronyms

• binomial coefficient

Holonyms

• Bernstein polynomial

See also

• Beziér curve