scipy.interpolate.sproot

scipy.interpolate.sproot(tck, mest=10)

Find the roots of a cubic B-spline.

Given the knots (>=8) and coefficients of a cubic B-spline return the roots of the spline.

Parameters

tcktuple or a BSpline object

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. The number of knots must be >= 8, and the degree must be 3. The knots must be a montonically increasing sequence.

mestint, optional

An estimate of the number of zeros (Default is 10).

Returns

zerosndarray

An array giving the roots of the spline.

See also

splprep, splrep, splint, spalde, splev

bisplrep, bisplev

BSpline

Notes

Manipulating the tck-tuples directly is not recommended. In new code, prefer using the BSpline objects.

References

1

C. de Boor, “On calculating with b-splines”, J. Approximation Theory, 6, p.50-62, 1972.

2

M. G. Cox, “The numerical evaluation of b-splines”, J. Inst. Maths Applics, 10, p.134-149, 1972.

3

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

Examples

Examples are given in the tutorial.