Interpolation with Radial Basis Function

A radial basis function is defined in relation to a fixed reference point.

The Rbf() function also takes xs and ys as arguments and returns a callable function that can be used with new xs.

Example

Interpolate the given xs and ys using RBF and find the values for the range 2.1, 2.2, …, up to 2.9.

from scipy.interpolate import Rbf
import numpy as np

xs = np.arange(10)
ys = xs**2 + np.sin(xs) + 1

interp_func = Rbf(xs, ys)

newarr = interp_func(np.arange(2.1, 3, 0.1))

print(newarr)

Result:

[6.25748981 6.62190817 7.00310702 7.40121814 7.8161443 8.24773402

8.69590519 9.16070828 9.64233874]