Cubic Spline Sweep Surface:
Sweep normalized cubic spline curve segment described by P1 [0 3 0 1],
P2 [3 0 0 1], P '1[3 0 0 0], P '2 [3 0 0 0] 10 units along with the z-axis.
The sweep surface is specified by
Q (u, s) = [C (u)] [T (s)] 0≤u ≤1 0 < s < 1
The normalized cubic spline segment is specified by
The sweep transformation is following
Therefore,
For t = 0.5, s = 0.5
= [3 1.5 5 1]