scipy.interpolate.bisplev#
- scipy.interpolate.bisplev(x, y, tck, dx=0, dy=0)[source]#
Evaluate a bivariate B-spline and its derivatives.
Return a rank-2 array of spline function values (or spline derivative values) at points given by the cross-product of the rank-1 arrays x and y. In special cases, return an array or just a float if either x or y or both are floats. Based on BISPEV and PARDER from FITPACK.
- Parameters:
- x, yndarray
Rank-1 arrays specifying the domain over which to evaluate the spline or its derivative.
- tcktuple
A sequence of length 5 returned by
bisplrep
containing the knot locations, the coefficients, and the degree of the spline: [tx, ty, c, kx, ky].- dx, dyint, optional
The orders of the partial derivatives in x and y respectively.
- Returns:
- valsndarray
The B-spline or its derivative evaluated over the set formed by the cross-product of x and y.
See also
Notes
See
bisplrep
to generate the tck representation.References
[1]Dierckx P. : An algorithm for surface fitting with spline functions Ima J. Numer. Anal. 1 (1981) 267-283.
[2]Dierckx P. : An algorithm for surface fitting with spline functions report tw50, Dept. Computer Science,K.U.Leuven, 1980.
[3]Dierckx P. : Curve and surface fitting with splines, Monographs on Numerical Analysis, Oxford University Press, 1993.
Examples
Examples are given in the tutorial.