scipy.interpolate.spalde#
- scipy.interpolate.spalde(x, tck)[source]#
Evaluate all derivatives of a B-spline.
Given the knots and coefficients of a cubic B-spline compute all derivatives up to order k at a point (or set of points).
- Parameters:
- xarray_like
A point or a set of points at which to evaluate the derivatives. Note that
t(k) <= x <= t(n-k+1)
must hold for each x.- tcktuple
A tuple (t,c,k) containing the vector of knots, the B-spline coefficients, and the degree of the spline.
- Returns:
- results{ndarray, list of ndarrays}
An array (or a list of arrays) containing all derivatives up to order k inclusive for each point x.
See also
References
[1]de Boor C : On calculating with b-splines, J. Approximation Theory 6 (1972) 50-62.
[2]Cox M.G. : The numerical evaluation of b-splines, J. Inst. Maths applics 10 (1972) 134-149.
[3]Dierckx P. : Curve and surface fitting with splines, Monographs on Numerical Analysis, Oxford University Press, 1993.