02/19/2002
15-462 Graphics I
14
Interpolation by Cubic Polynomials
•
Simplest case, although rarely used
•
Curves:
–
Given 4 control points p
0
, p
1
, p
2
, p
3
–
All should lie on curve: 12 conditions, 12 unknowns
•
Space 0
·
u
·
1 evenly
•
p
0
= p(0), p
1
= p(1/3), p
2
= p(2/3), p
3
= p(1)