Computing the Voronoi diagram of a set of points

The Voronoi diagram of a set of seed points divides space into several regions. Each region contains all points closer to one seed point than to any other seed point.

The Voronoi diagram is a fundamental structure in computational geometry. It is widely used in computer science, robotics, geography, and other disciplines. For example, the Voronoi diagram of a set of metro stations gives us the closest station from any point in the city.

In this recipe, we compute the Voronoi diagram of the set of metro stations in Paris using SciPy.

Getting ready

You need the Smopy module to display the OpenStreetMap map of Paris. You can install this package with pip install git+https://github.com/rossant/smopy.git.

How to do it...

1. Let's import the packages:

   >>> import numpy as np
       import pandas as pd
       import scipy.spatial as spatial
       import matplotlib.pyplot as plt
       import matplotlib.path as path
       import matplotlib as mpl
       import...