02/21/2002
15-462 Graphics I
7
B-Spline Geometry Matrix
•Conditions
at u = 0
–p(0) =
c0 = 1/6 (pi-2 + 4pi-1 + pi)
–p’(0)
= c1 = 1/2 (pi – pi-2)
•Conditions
at u = 1
–p(1) =
c0 + c1 + c2 + c3 = 1/6 (pi-1 + 4pi + pi+1)
–p’(1)
= c1 + 2c2 + 3c3 = 1/2 (pi+1 – pi-1)
