scipy.interpolate.LSQBivariateSpline#
- class scipy.interpolate.LSQBivariateSpline(x, y, z, tx, ty, w=None, bbox=[None, None, None, None], kx=3, ky=3, eps=None)[source]#
Weighted least-squares bivariate spline approximation.
- Parameters:
- x, y, zarray_like
1-D sequences of data points (order is not important).
- tx, tyarray_like
Strictly ordered 1-D sequences of knots coordinates.
- warray_like, optional
Positive 1-D array of weights, of the same length as x, y and z.
- bbox(4,) array_like, optional
Sequence of length 4 specifying the boundary of the rectangular approximation domain. By default,
bbox=[min(x,tx),max(x,tx), min(y,ty),max(y,ty)]
.- kx, kyints, optional
Degrees of the bivariate spline. Default is 3.
- epsfloat, 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.
See also
BivariateSpline
a base class for bivariate splines.
UnivariateSpline
a smooth univariate spline to fit a given set of data points.
SmoothBivariateSpline
a smoothing bivariate spline through the given points
RectSphereBivariateSpline
a bivariate spline over a rectangular mesh on a sphere
SmoothSphereBivariateSpline
a smoothing bivariate spline in spherical coordinates
LSQSphereBivariateSpline
a bivariate spline in spherical coordinates using weighted least-squares fitting
RectBivariateSpline
a bivariate spline over a rectangular mesh.
bisplrep
a function to find a bivariate B-spline representation of a surface
bisplev
a function to evaluate a bivariate B-spline and its derivatives
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.
Methods
__call__
(x, y[, dx, dy, grid])Evaluate the spline or its derivatives at given positions.
ev
(xi, yi[, dx, dy])Evaluate the spline at points
Return spline coefficients.
Return a tuple (tx,ty) where tx,ty contain knots positions of the spline with respect to x-, y-variable, respectively.
Return weighted sum of squared residuals of the spline approximation: sum ((w[i]*(z[i]-s(x[i],y[i])))**2,axis=0)
integral
(xa, xb, ya, yb)Evaluate the integral of the spline over area [xa,xb] x [ya,yb].
partial_derivative
(dx, dy)Construct a new spline representing a partial derivative of this spline.