next up previous
Next: dd_splines Up: dd_splines Previous: dd_splines

9. Non-uniform spline curves

The spline curves we previously studied were of the form $ P(t) $ for $ 0 \leq t \leq n $, where the points of gluing were $ t = 1,2,\dots, n-1 $. We say that the knot points are $ 0,1,\dots, n $. It is possible, more generally, to have knot points $ t_0,\dots, t_n $. As before, one can start with B-spline curves and then use them for spline interpolation. In this case, the simple graphical construction with A-frames is not possible, but there is a recursive construction that is not difficult to implement on the computer.





Kirby A. Baker 2002-03-01