Classe « NdBSpline »

Informations générales

Héritage

builtins.object
    NdBSpline

Définition

class NdBSpline(builtins.object):

help(NdBSpline)

Tensor product spline object.

The value at point ``xp = (x1, x2, ..., xN)`` is evaluated as a linear
combination of products of one-dimensional b-splines in each of the ``N``
dimensions::

   c[i1, i2, ..., iN] * B(x1; i1, t1) * B(x2; i2, t2) * ... * B(xN; iN, tN)


Here ``B(x; i, t)`` is the ``i``-th b-spline defined by the knot vector
``t`` evaluated at ``x``.

Parameters
----------
t : tuple of 1D ndarrays
    knot vectors in directions 1, 2, ... N,
    ``len(t[i]) == n[i] + k + 1``
c : ndarray, shape (n1, n2, ..., nN, ...)
    b-spline coefficients
k : int or length-d tuple of integers
    spline degrees.
    A single integer is interpreted as having this degree for
    all dimensions.
extrapolate : bool, optional
    Whether to extrapolate out-of-bounds inputs, or return `nan`.
    Default is to extrapolate.

Attributes
----------
t : tuple of ndarrays
    Knots vectors.
c : ndarray
    Coefficients of the tensor-product spline.
k : tuple of integers
    Degrees for each dimension.
extrapolate : bool, optional
    Whether to extrapolate or return nans for out-of-bounds inputs.
    Defaults to true.

Methods
-------
__call__
design_matrix

See Also
--------
BSpline : a one-dimensional B-spline object
NdPPoly : an N-dimensional piecewise tensor product polynomial

Constructeur(s)

Signature du constructeur	Description
__init__(self, t, c, k, *, extrapolate=None)

Liste des propriétés

Nom de la propriété	Description
k
t

Liste des opérateurs

Opérateurs hérités de la classe object

__eq__, __ge__, __gt__, __le__, __lt__, __ne__

Liste des méthodes

Toutes les méthodes Méthodes d'instance Méthodes statiques

Signature de la méthode	Description
__call__(self, xi, *, nu=None, extrapolate=None)	Evaluate the tensor product b-spline at ``xi``. _{[extrait de __call__.__doc__]}
design_matrix(xvals, t, k, extrapolate=True)	Construct the design matrix as a CSR format sparse array. _{[extrait de design_matrix.__doc__]}