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https://github.com/warrenweckesser/voronoiz

Functions for generating Voronoi diagrams with alternate metrics.
https://github.com/warrenweckesser/voronoiz

manhattan-distance python voronoi voronoi-diagram

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Functions for generating Voronoi diagrams with alternate metrics.

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voronoiz
--------

Some functions for computing Voronoi diagrams for points in the
plane for metrics other than the Euclidean metric.

* `voronoi_l1` creates Voronoi cells (polygons) for a set of points
using the L1 metric (also known as the city-block metric,
the Manhattan metric, or the taxicab metric). The function
requires the Shapely library (https://pypi.org/project/Shapely/).
* `voronoi_grid` is for displaying a Voronoi diagram as an image.
It samples a grid of points and generates an array of integers
that indicate the index in the given `points` array that is
closest to the grid point. It uses `scipy.spatial.distance.cdist`
to compute the distance, so any metric provided by that function
can be used. `voronoi_grid` requires SciPy.

Demonstration code is in `examples/voronoi_demo.py`. When that file
is run, it generates these plots of the result of `voronoi_l1` and
`voronoi_grid` applied to a random set of points:

![](https://github.com/WarrenWeckesser/voronoiz/blob/main/examples/demo_fig1.png)

![](https://github.com/WarrenWeckesser/voronoiz/blob/main/examples/demo_fig2.png)

![](https://github.com/WarrenWeckesser/voronoiz/blob/main/examples/demo_fig3.png)