Evaluate a B-spline and its derivatives.
Given the knots and coefficients of a B-spline representation, evaluate the value of the smoothing polynomial and it’s derivatives. This is a wrapper around the FORTRAN routines splev and splder of FITPACK.
Parameters : | x (u) – a 1-D array of points at which to return the value of the :
tck – A sequence of length 3 returned by splrep or splprep containg the :
der – The order of derivative of the spline to compute (must be less than :
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Returns : | y – an array of values representing the spline function or curve. :
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See also
splprep, splrep, sproot, spalde, splint, roots, integral, bisplrep, bisplev, UnivariateSpline, BivariateSpline
References
[R5] | C. de Boor, “On calculating with b-splines”, J. Approximation Theory, 6, p.50-62, 1972. |
[R6] | M.G. Cox, “The numerical evaluation of b-splines”, J. Inst. Maths Applics, 10, p.134-149, 1972. |
[R7] | P. Dierckx, “Curve and surface fitting with splines”, Monographs on Numerical Analysis, Oxford University Press, 1993. |