Tutorial
Parametric Cubic Curves 1

1. Determine a parametric cubic curve defined by the following four points.

P(0)   = P1
P(1/3) = P2
P(2/3) = P3
P(1)   = P4

Give the basis matrix, the basis functions, and sketch an example of such a curve.
2. Determine if the following two curves are:
• C0 continuous
• C1 continuous
• G1 continuous

A(t) = (t,t^2), t in [0,1]
B(t) = (2t+1, t^3+4t+1), t in [0,1]