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Classe « BSpline »

Méthode scipy.interpolate.BSpline.insert_knot

Signature de la méthode insert_knot

def insert_knot(self, x, m=1) 

Description

help(BSpline.insert_knot)

Insert a new knot at `x` of multiplicity `m`.

Given the knots and coefficients of a B-spline representation, create a
new B-spline with a knot inserted `m` times at point `x`.

Parameters
----------
x : float
    The position of the new knot
m : int, optional
    The number of times to insert the given knot (its multiplicity).
    Default is 1.

Returns
-------
spl : BSpline object
    A new BSpline object with the new knot inserted.

Notes
-----
Based on algorithms from [1]_ and [2]_.

In case of a periodic spline (``self.extrapolate == "periodic"``)
there must be either at least k interior knots t(j) satisfying
``t(k+1)<t(j)<=x`` or at least k interior knots t(j) satisfying
``x<=t(j)<t(n-k)``.

This routine is functionally equivalent to `scipy.interpolate.insert`.

.. versionadded:: 1.13

References
----------
.. [1] W. Boehm, "Inserting new knots into b-spline curves.",
    Computer Aided Design, 12, p.199-201, 1980.
    :doi:`10.1016/0010-4485(80)90154-2`.
.. [2] P. Dierckx, "Curve and surface fitting with splines, Monographs on
    Numerical Analysis", Oxford University Press, 1993.

See Also
--------
scipy.interpolate.insert

Examples
--------
You can insert knots into a B-spline:

>>> import numpy as np
>>> from scipy.interpolate import BSpline, make_interp_spline
>>> x = np.linspace(0, 10, 5)
>>> y = np.sin(x)
>>> spl = make_interp_spline(x, y, k=3)
>>> spl.t
array([ 0.,  0.,  0.,  0.,  5., 10., 10., 10., 10.])

Insert a single knot

>>> spl_1 = spl.insert_knot(3)
>>> spl_1.t
array([ 0.,  0.,  0.,  0.,  3.,  5., 10., 10., 10., 10.])

Insert a multiple knot

>>> spl_2 = spl.insert_knot(8, m=3)
>>> spl_2.t
array([ 0.,  0.,  0.,  0.,  5.,  8.,  8.,  8., 10., 10., 10., 10.])

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