Definition
The n + 1 Bernstein basis polynomials of degree n are defined as
where is a binomial coefficient.
The Bernstein basis polynomials of degree n form a basis for the vector space Πn of polynomials of degree at most n.
A linear combination of Bernstein basis polynomials
is called a Bernstein polynomial or polynomial in Bernstein form of degree n. The coefficients are called Bernstein coefficients or Bézier coefficients.
Read more about this topic: Bernstein Polynomial
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