| Spline Toolbox | |
Syntax
tstar = aveknt(t,k)
Description
aveknt returns the averages of successive k - 1 knots, i.e., the sites
which are recommended as good interpolation site choices when interpolating from splines of order k with knot sequence
.
Examples
aveknt([1 2 3 3 3],3) returns the vector [2.5000 3.0000], while aveknt([1 2 3],3) returns the empty vector.
With k and the strictly increasing sequence breaks given, the statements
t = augknt(breaks,k); x = aveknt(t); sp = spapi(t,x,sin(x));
provide a spline interpolant to the sine function on the interval [breaks(1)..breaks(end)].
For sp the B-form of a scalar-valued univariate spline function, with t=fnbrk(sp,'knots') and k=fnbrk(sp,'order'), the points (tstar(i), a(i)) with tstar=aveknt(t,k) constitute the vertices of the spline's control polygon.
See Also
| | augknt | bkbrk | |