Evaluate a bivariate B-spline and its derivatives.
Description:
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 from FITPACK.
Inputs:
- x, y – Rank-1 arrays specifying the domain over which to evaluate the
- spline or its derivative.
- tck – 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, dy – The orders of the partial derivatives in x and y respectively.
Outputs: (vals, )
- vals – The B-pline or its derivative evaluated over the set formed by
- the cross-product of x and y.
Remarks:
SEE bisprep to generate the tck representation.
splprep, splrep, splint, sproot, splev - evaluation, roots, integral UnivariateSpline, BivariateSpline - an alternative wrapping
of the FITPACK functions
Notes: Based on algorithms from:
- Dierckx P. : An algorithm for surface fitting with spline functions
- Ima J. Numer. Anal. 1 (1981) 267-283.
- Dierckx P. : An algorithm for surface fitting with spline functions
- report tw50, Dept. Computer Science,K.U.Leuven, 1980.
- Dierckx P. : Curve and surface fitting with splines, Monographs on
- Numerical Analysis, Oxford University Press, 1993.