02/21/2002
15-462 Graphics I
5
Cubic B-Splines
•Need
m+2 control points for m cubic segments
•Computationally
3 times more expensive
•C2 continuous at each interior point
•Derive
as follows:
–Consider
two overlapping segments
–Enforce
C0 and C1 continuity
–Employ
symmetry
–C2 continuity follows