scipy.interpolate.RectBivariateSpline

class RectBivariateSpline(x, y, z, bbox=[None, None, None, None], kx=3, ky=3, s=0)

Bivariate spline approximation over a rectangular mesh.

Can be used for both smoothing and interpolating data.

Parameters

x,yarray_like

1-D arrays of coordinates in strictly ascending order. Evaluated points outside the data range will be extrapolated.

zarray_like

2-D array of data with shape (x.size,y.size).

bboxarray_like, optional

Sequence of length 4 specifying the boundary of the rectangular approximation domain, which means the start and end spline knots of each dimension are set by these values. By default, bbox=[min(x), max(x), min(y), max(y)].

kx, kyints, optional

Degrees of the bivariate spline. Default is 3.

sfloat, optional

Positive smoothing factor defined for estimation condition: sum((z[i]-f(x[i], y[i]))**2, axis=0) <= s where f is a spline function. Default is s=0, which is for interpolation.

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

LSQBivariateSpline :

a bivariate spline using weighted least-squares fitting

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

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

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.

__init__(x, y, z, bbox=[None, None, None, None], kx=3, ky=3, s=0)

Methods

__init__(x, y, z[, bbox, kx, ky, s])
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 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.