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]