scipy.interpolate.RectBivariateSpline#
- class scipy.interpolate.RectBivariateSpline(x, y, z, bbox=[None, None, None, None], kx=3, ky=3, s=0)[source]#
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 iss=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
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.