What are some examples of interpolation using SciPy?

What are some examples of interpolation using SciPy?

SciPy offers various interpolation methods. Would you like to see examples of linear, cubic, or spline interpolation?

Can you show me a linear interpolation example?

Sure! Here's a simple example using scipy.interpolate.interp1d for linear interpolation:

import numpy as np
from scipy.interpolate import interp1d

# Sample data
x = np.array([0, 1, 2, 3, 4])
y = np.array([0, 1, 4, 9, 16])

# Create a linear interpolation function
linear_interp = interp1d(x, y)

# Interpolate at new points
new_x = np.array([1.5, 2.5])
new_y = linear_interp(new_x)
print(new_y)  # Output: [2.5 6.5]

What about cubic interpolation?

For cubic interpolation, you can use the same interp1d function but specify the kind as 'cubic'. Here's an example:

cubic_interp = interp1d(x, y, kind='cubic')
new_y_cubic = cubic_interp(new_x)
print(new_y_cubic)  # Output will be smoother than linear interpolation.

Thanks! Can you explain spline interpolation?

Absolutely! Spline interpolation can be done using scipy.interpolate.UnivariateSpline. It fits a spline to the data points. Here's a quick example:

from scipy.interpolate import UnivariateSpline

spline = UnivariateSpline(x, y)
new_y_spline = spline(new_x)
print(new_y_spline)  # This will give you a smooth curve through the points.