`scipy.interpolate._fitpack2:SmoothBivariateSpline`

source: /scipy/interpolate/_fitpack2.py :1360

Signature

   class     SmoothBivariateSpline (    x    ,    y    ,    z    ,    w    =  None   ,    bbox    =  [None, None, None, None]   ,    kx    =  3   ,    ky    =  3   ,    s    =  None   ,    eps    =  1e-16     )

Members

__init__

Summary

Smooth bivariate spline approximation.

Parameters

x, y, z : array_like: 1-D sequences of data points (order is not important).
w : array_like, optional: Positive 1-D sequence of weights, of same length as x, y and z.
bbox : array_like, optional: Sequence of length 4 specifying the boundary of the rectangular approximation domain. By default, bbox=[min(x), max(x), min(y), max(y)].
kx, ky : ints, optional: Degrees of the bivariate spline. Default is 3.
s : float, optional: Positive smoothing factor defined for estimation condition: sum((w[i]*(z[i]-s(x[i], y[i])))**2, axis=0) <= s Default s=len(w) which should be a good value if 1/w[i] is an estimate of the standard deviation of z[i].
eps : float, optional: A threshold for determining the effective rank of an over-determined linear system of equations. eps should have a value within the open interval (0, 1), the default is 1e-16.

Notes

The length of x, y and z should be at least (kx+1) * (ky+1).

If the input data is such that input dimensions have incommensurate units and differ by many orders of magnitude, the interpolant may have numerical artifacts. Consider rescaling the data before interpolating.

This routine constructs spline knot vectors automatically via the FITPACK algorithm. The spline knots may be placed away from the data points. For some data sets, this routine may fail to construct an interpolating spline, even if one is requested via s=0 parameter. In such situations, it is recommended to use bisplrep / bisplev directly instead of this routine and, if needed, increase the values of nxest and nyest parameters of bisplrep.

For linear interpolation, LinearNDInterpolator is preferred. Consult the interp-transition-guide for discussion.

Array API Standard Support

SmoothBivariateSpline is not in-scope for support of Python Array API Standard compatible backends other than NumPy.

See dev-arrayapi for more information.

Aliases

scipy.interpolate.SmoothBivariateSpline