scipy.interpolate.

splint

scipy.interpolate.splint(a, b, tck, full_output=0)

Evaluate the definite integral of a B-spline between two given points.

Legacy

This function is considered legacy and will no longer receive updates. While we currently have no plans to remove it, we recommend that new code uses more modern alternatives instead. Specifically, we recommend constructing a BSpline object and using its integrate method.

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)

See also

splprep, splrep, sproot, spalde, splev

bisplrep, bisplev

BSpline

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

Try it in your browser!

Examples are given in the tutorial.

Go BackOpen In Tab