# 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, z : array_like 1-D sequences of data points (order is not important). tx, ty : array_like Strictly ordered 1-D sequences of knots coordinates. w : array_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, ky : ints, optional Degrees of the bivariate spline. Default is 3. eps : float, optional A threshold for determining the effective rank of an over-determined linear system of equations. eps should have a value between 0 and 1, the default is 1e-16.

bisplrep
an older wrapping of FITPACK
bisplev
an older wrapping of FITPACK
UnivariateSpline
a similar class for univariate spline interpolation
SmoothBivariateSpline
create a smoothing BivariateSpline

Notes

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

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 get_coeffs() Return spline coefficients. get_knots() Return a tuple (tx,ty) where tx,ty contain knots positions of the spline with respect to x-, y-variable, respectively. get_residual() Return weighted sum of squared residuals of the spline integral(xa, xb, ya, yb) Evaluate the integral of the spline over area [xa,xb] x [ya,yb].

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