scipy.signal.bspline

scipy.signal.bspline(x, n)

B-spline basis function of order n.

Parameters:

xarray_like

a knot vector

nint

The order of the spline. Must be non-negative, i.e., n >= 0

Returns:

resndarray

B-spline basis function values

See also

cubic

A cubic B-spline.

quadratic

A quadratic B-spline.

Notes

Uses numpy.piecewise and automatic function-generator.

Examples

We can calculate B-Spline basis function of several orders:

>>> import numpy as np
>>> from scipy.signal import bspline, cubic, quadratic
>>> bspline(0.0, 1)
1

>>> knots = [-1.0, 0.0, -1.0]
>>> bspline(knots, 2)
array([0.125, 0.75, 0.125])

>>> np.array_equal(bspline(knots, 2), quadratic(knots))
True

>>> np.array_equal(bspline(knots, 3), cubic(knots))
True