A 2-D parametric cubic spline defined by the equations: x = aox + a1xt + axt? + asat' and y =aoy + aiyt + azyt + asyt is used to

model the four data points Po(1,1), Pi(2,3), P2(6,2), andPs(8,4). Assume 0 stsl, and let t= 0 and t =l correspond to Po and Ps. Derive the equations to make the curve using these data points.