scipy.interpolate.splint#
- scipy.interpolate.splint(a, b, tck, full_output=0)[source]#
Evaluate the definite integral of a B-spline between two given points.
- Parameters:
- a, bfloat
The end-points of the integration interval.
- tcktuple or a BSpline instance
If a tuple, then it should be a sequence of length 3, containing the vector of knots, the B-spline coefficients, and the degree of the spline (see
splev
).- full_outputint, optional
Non-zero to return optional output.
- Returns:
- integralfloat
The resulting integral.
- wrkndarray
An array containing the integrals of the normalized B-splines defined on the set of knots. (Only returned if full_output is non-zero)
Notes
splint
silently assumes that the spline function is zero outside the data interval (a, b).Manipulating the tck-tuples directly is not recommended. In new code, prefer using the
BSpline
objects.References
[1]P.W. Gaffney, The calculation of indefinite integrals of b-splines”, J. Inst. Maths Applics, 17, p.37-41, 1976.
[2]P. Dierckx, “Curve and surface fitting with splines”, Monographs on Numerical Analysis, Oxford University Press, 1993.
Examples
Examples are given in the tutorial.