scipy.interpolate.spalde

scipy.interpolate.spalde(x, tck)

Evaluate all derivatives of a B-spline.

Description:

Given the knots and coefficients of a cubic B-spline compute all derivatives up to order k at a point (or set of points).

Inputs:

tck – A length 3 sequence describing the given spline (See splev). x – 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.

Outputs: (results, )

results – An array (or a list of arrays) containing all derivatives

up to order k inclusive for each point x.

See also:

splprep, splrep, splint, sproot, splev - evaluation, roots, integral bisplrep, bisplev - bivariate splines UnivariateSpline, BivariateSpline - an alternative wrapping

of the FITPACK functions

Notes: Based on algorithms from:

de Boor C : On calculating with b-splines, J. Approximation Theory

6 (1972) 50-62.

Cox M.G. : The numerical evaluation of b-splines, J. Inst. Maths

applics 10 (1972) 134-149.

Dierckx P. : Curve and surface fitting with splines, Monographs on

Numerical Analysis, Oxford University Press, 1993.