3.5.3.9. scipy.interpolate.spalde¶
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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: x : array_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.tck : tuple
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
splprep,splrep,splint,sproot,splev,bisplrep,bisplev,UnivariateSpline,BivariateSplineReferences
[R62] de Boor C : On calculating with b-splines, J. Approximation Theory 6 (1972) 50-62. [R63] Cox M.G. : The numerical evaluation of b-splines, J. Inst. Maths applics 10 (1972) 134-149. [R64] Dierckx P. : Curve and surface fitting with splines, Monographs on Numerical Analysis, Oxford University Press, 1993.