### Navigation

- index
- modules |
- next |
- previous |
- SciPy v0.7 Reference Guide (DRAFT) »
- Interpolation (`scipy.interpolate`) »

# scipy.interpolate.spalde

`scipy.interpolate.``spalde`(x, tck)

  Evaluate all derivatives of a B-spline.

  Description:

  > Given the knots and coefficients of a cubic B-spline compute all derivatives up to order k at a point (or set of points).

  Inputs:

  > tck – A length 3 sequence describing the given spline (See splev). x – A point or a set of points at which to evaluate the derivatives.

  > > Note that t(k) <= x <= t(n-k+1) must hold for each x.

  Outputs: (results, )

  > results – An array (or a list of arrays) containing all derivatives
  >   up to order k inclusive for each point x.

  See also:

    splprep, splrep, splint, sproot, splev - evaluation, roots, integral bisplrep, bisplev - bivariate splines UnivariateSpline, BivariateSpline - an alternative wrapping

    > of the FITPACK functions

  Notes: Based on algorithms from:

  > > de Boor C : On calculating with b-splines, J. Approximation Theory
  > >   6 (1972) 50-62.
  > > Cox M.G. : The numerical evaluation of b-splines, J. Inst. Maths
  > >   applics 10 (1972) 134-149.

  > Dierckx P. : Curve and surface fitting with splines, Monographs on
  >   Numerical Analysis, Oxford University Press, 1993.

### Navigation

- index
- modules |
- next |
- previous |
- SciPy v0.7 Reference Guide (DRAFT) »
- Interpolation (`scipy.interpolate`) »