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Constructing Curve Segments

Linear blend:

Quadratic blend:

Cubic blend:

Geometric view (deCasteljau Algorithm):

Expanding Terms (Basis Polynomials):

Recursive evaluation schemes:

Recursive triangle diagrams (upward):
Computing deCasteljau points

Recursive triangle diagrams (downward):
Computing Bernstein (basis) polynomials


next up previous
Next: Bernstein Basis Functions Up: Splines Previous: Splines

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

cs488@cgl.uwaterloo.ca