scipy.interpolate.BivariateSpline¶
- class scipy.interpolate.BivariateSpline[source]¶
Base class for bivariate splines.
This describes a spline
s(x, y)
of degreeskx
andky
on the rectangle[xb, xe] * [yb, ye]
calculated from a given set of data points(x, y, z)
.This class is meant to be subclassed, not instantiated directly. To construct these splines, call either
SmoothBivariateSpline
orLSQBivariateSpline
orRectBivariateSpline
.See also
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
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
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].