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.. currentmodule:: csaps

Internals

Spline Representation

The computed splines are represented by classes :class:`SplinePPForm` (inherited from :class:`scipy.interpolate.PPoly`) for univariate/multivariate and :class:`NdGridSplinePPForm` (inherited from :class:`scipy.interpolate.NdPPoly`) for n-d gridded data. This representation can be named as "PP-form" (piecewise-polynomial form).

Here is an example of SplinePPForm object:

>>> from csaps import CubicSmoothingSpline

>>> x = [0, 1, 2, 3]
>>> y = [(1, 3, 4, 4), (5, 6, 7, 8)]

>>> s = CubicSmoothingSpline(x, y)
>>> print(s.spline)

SplinePPForm
  breaks: [0. 1. 2. 3.]
  coeffs shape: (4, 3, 2)
  data shape: (2, 4)
  axis: 1
  pieces: 3
  order: 4
  ndim: 2

The coefficients array in this case has the shape (4, 3, 2) where:

  • 4 -- spline order (4 for cubic)
  • 3 -- the number of spline pieces (3 pieces for 4 X-points)
  • 2 -- the number of 1-d Y-data vectors