Module « scipy.interpolate »

Fonction spalde - module scipy.interpolate

Signature de la fonction spalde

def spalde(x, tck) 

Description

spalde.__doc__

    Evaluate all derivatives of a B-spline.

    Given the knots and coefficients of a cubic B-spline compute all
    derivatives up to order k at a point (or set of points).

    Parameters
    ----------
    x : array_like
        A point or a set of points at which to evaluate the derivatives.
        Note that ``t(k) <= x <= t(n-k+1)`` must hold for each `x`.
    tck : tuple
        A tuple ``(t, c, k)``, containing the vector of knots, the B-spline
        coefficients, and the degree of the spline (see `splev`).

    Returns
    -------
    results : {ndarray, list of ndarrays}
        An array (or a list of arrays) containing all derivatives
        up to order k inclusive for each point `x`.

    See Also
    --------
    splprep, splrep, splint, sproot, splev, bisplrep, bisplev,
    BSpline

    References
    ----------
    .. [1] C. de Boor: On calculating with b-splines, J. Approximation Theory
       6 (1972) 50-62.
    .. [2] M. G. Cox : The numerical evaluation of b-splines, J. Inst. Maths
       applics 10 (1972) 134-149.
    .. [3] P. Dierckx : Curve and surface fitting with splines, Monographs on
       Numerical Analysis, Oxford University Press, 1993.

    Examples
    --------
    Examples are given :ref:`in the tutorial <tutorial-interpolate_splXXX>`.