Next: Bézier Splines Up: Splines Previous: Constructing Curve Segments

Bernstein Basis Functions

Bernstein Polynomial Properties:

Partition of Unity:

Proof:

Non-negativity:

Proof:

Recurrence:

Proof:

Derivatives:

Proof:

CS488/688: Introduction to Interactive Computer Graphics
University of Waterloo
Computer Graphics Lab

cs488@cgl.uwaterloo.ca