Bernstein Polynomials

​
degree
12
th
k
5
show envelope
show filling
Bernstein polynomials play an important role in computer graphics. For instance, they are used as a basis for Bézier curves. The envelope of the Bernstein polynomial of degree
n
is given by
f
n
(x)=
1
2πnx(1-x)
. This Demonstration shows Bernstein polynomials and their envelopes.

External Links

Bernstein Polynomial (Wolfram MathWorld)
Bézier Curve (Wolfram MathWorld)

Permanent Citation

Yu-Sung Chang
​
​"Bernstein Polynomials"​
​http://demonstrations.wolfram.com/BernsteinPolynomials/​
​Wolfram Demonstrations Project​
​Published: September 28, 2007