splev#
- scipy.interpolate.splev(x, tck, der=0, ext=0)[source]#
- Evaluate a B-spline or its derivatives. - Legacy - This function is considered legacy and will no longer receive updates. While we currently have no plans to remove it, we recommend that new code uses more modern alternatives instead. Specifically, we recommend constructing a - BSplineobject and using its- __call__method.- Given the knots and coefficients of a B-spline representation, evaluate the value of the smoothing polynomial and its derivatives. This is a wrapper around the FORTRAN routines splev and splder of FITPACK. - Parameters:
- xarray_like
- An array of points at which to return the value of the smoothed spline or its derivatives. If tck was returned from - splprep, then the parameter values, u should be given.
- tckBSpline instance or tuple
- If a tuple, then it should be a sequence of length 3 returned by - splrepor- splprepcontaining the knots, coefficients, and degree of the spline. (Also see Notes.)
- derint, optional
- The order of derivative of the spline to compute (must be less than or equal to k, the degree of the spline). 
- extint, optional
- Controls the value returned for elements of - xnot in the interval defined by the knot sequence.- if ext=0, return the extrapolated value. 
- if ext=1, return 0 
- if ext=2, raise a ValueError 
- if ext=3, return the boundary value. 
 - The default value is 0. 
 
- Returns:
- yndarray or list of ndarrays
- An array of values representing the spline function evaluated at the points in x. If tck was returned from - splprep, then this is a list of arrays representing the curve in an N-D space.
 
 - Notes - Manipulating the tck-tuples directly is not recommended. In new code, prefer using - BSplineobjects.- References [1]- C. de Boor, “On calculating with b-splines”, J. Approximation Theory, 6, p.50-62, 1972. [2]- M. G. Cox, “The numerical evaluation of b-splines”, J. Inst. Maths Applics, 10, p.134-149, 1972. [3]- P. Dierckx, “Curve and surface fitting with splines”, Monographs on Numerical Analysis, Oxford University Press, 1993. - Examples - Examples are given in the tutorial. - A comparison between - splev,- splderand- spaldeto compute the derivatives of a B-spline can be found in the- spaldeexamples section.