### Bernstein polynomial

(polynomial form capable of producing arbitrary shapes)

**Bernstein polynomials** constitute a family of polynomials capable of
approximating arbitrary function curves, sometimes used as
basis functions in modeling. In the manner of a
**Fourier series expansion** or **Taylor series expansion**,
they offer a way to build a polynomial approximation of an
arbitrary curve over a given finite interval.

One use is to produce arbitrary statistical distributions
nonparametric model in Bayesian statistics.

I imagine they are a means to produce efficient expressions for
calculating approximations of functions, which can be helpful in
computer graphics, particularly real-time computer animation, and
also in increasing the efficiency of computationally-intensive
numerical models.

(*mathematics,technique,computation*)
http://en.wikipedia.org/wiki/Bernstein_polynomial

index