How can I use SciPy for advanced interpolation techniques?

How can I use SciPy for advanced interpolation techniques?

You can use the scipy.interpolate module, which provides various methods like Barycentric, CubicSpline, and more.

What are the differences between CubicSpline and UnivariateSpline?

CubicSpline provides a piecewise cubic polynomial interpolation, ensuring smoothness at the data points, while UnivariateSpline allows for more flexibility with a smoothing factor.

Can you show me an example of using CubicSpline?

Sure! Here's a simple example:

import numpy as np
from scipy.interpolate import CubicSpline

x = np.array([0, 1, 2, 3])
y = np.array([1, 2, 0, 2])
cs = CubicSpline(x, y)

# Evaluate at new points
new_x = np.linspace(0, 3, 10)
new_y = cs(new_x)

What should I consider when choosing an interpolation method?

Consider the nature of your data, the required smoothness, and whether you need to avoid oscillations between points.