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splev(x, tck, der=0, ext=0)

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.

Notes

Manipulating the tck-tuples directly is not recommended. In new code, prefer using BSpline objects.

Parameters

x : array_like

An array of points at which to return the value of the smoothed spline or its derivatives. If :None:None:`tck` was returned from splprep , then the parameter values, u should be given.

tck : 3-tuple or a BSpline object

If a tuple, then it should be a sequence of length 3 returned by splrep or splprep containing the knots, coefficients, and degree of the spline. (Also see Notes.)

der : int, optional

The order of derivative of the spline to compute (must be less than or equal to k, the degree of the spline).

ext : int, optional

Controls the value returned for elements of x not 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

y : ndarray or list of ndarrays: An array of values representing the spline function evaluated at the points in x. If :None:None:`tck` was returned from splprep , then this is a list of arrays representing the curve in an N-D space.

Evaluate a B-spline or its derivatives.

Examples

Examples are given in the tutorial <tutorial-interpolate_splXXX> .

See :

Back References

The following pages refer to to this document either explicitly or contain code examples using this.

scipy.interpolate._fitpack_impl.splrep scipy.interpolate._fitpack_py.splder scipy.interpolate._fitpack_impl.splantider scipy.interpolate._fitpack_py.splrep scipy.interpolate._fitpack_py.splantider scipy.interpolate._fitpack_py.sproot scipy.interpolate._fitpack_py.splint

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