02/21/2002
15-462 Graphics I
22
Subdividing Other Curves
•Calculations
more complex
•Trick:
transform control points to obtain identical curve as Bezier curve!
•Then
subdivide the resulting Bezier curve
•Bezier:
p(u) = uT Mb p
•Other
curve: p(u) = uT M q, M
geometry matrix
•Solve:
q = M-1 Mb p with p = Mb-1 M q