Spline Toolbox

Initial Guess

As our initial guess for the , we use the knot averages

recommended as good interpolation site choices. These are supplied by

• tau=aveknt(t,k); 
  

We plot the resulting first approximation to , i.e., the spline that satisfies , all :

• b = cumprod(repmat(-1,1,n)); b = b*b(end);
  c = spapi(t,tau,b); 
  fnplt(c,'-.') 
  grid
  

Here is the resulting picture.

Figure 2-17: First Approximation to a Chebyshev Spline

Choice of Spline Space

Remez Iteration