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bundles / scipy 1.17.1 / scipy / spatial / _qhull / Voronoi

class

scipy.spatial._qhull:Voronoi

source: /scipy/spatial/_qhull.cpython-314-x86_64-linux-gnu.so

Signature

class   Voronoi ( points ,  furthest_site = False ,  incremental = False ,  qhull_options = None )

Members

Summary

Voronoi diagrams in N dimensions.

Extended Summary

Parameters

points : ndarray of floats, shape (npoints, ndim)

Coordinates of points to construct a Voronoi diagram from

furthest_site : bool, optional

Whether to compute a furthest-site Voronoi diagram. Default: False

incremental : bool, optional

Allow adding new points incrementally. This takes up some additional resources.

qhull_options : str, optional

Additional options to pass to Qhull. See Qhull manual for details. (Default: "Qbb Qc Qz Qx" for ndim > 4 and "Qbb Qc Qz" otherwise. Incremental mode omits "Qz".)

Attributes

points : ndarray of double, shape (npoints, ndim)

Coordinates of input points.

vertices : ndarray of double, shape (nvertices, ndim)

Coordinates of the Voronoi vertices.

ridge_points : ndarray of ints, shape ``(nridges, 2)``

Indices of the points between which each Voronoi ridge lies.

ridge_vertices : list of list of ints, shape ``(nridges, *)``

Indices of the Voronoi vertices forming each Voronoi ridge.

regions : list of list of ints, shape ``(nregions, *)``

Indices of the Voronoi vertices forming each Voronoi region. -1 indicates vertex outside the Voronoi diagram. When qhull option "Qz" was specified, an empty sublist represents the Voronoi region for a point at infinity that was added internally.

point_region : array of ints, shape (npoints)

Index of the Voronoi region for each input point. If qhull option "Qc" was not specified, the list will contain -1 for points that are not associated with a Voronoi region. If qhull option "Qz" was specified, there will be one less element than the number of regions because an extra point at infinity is added internally to facilitate computation.

furthest_site

True if this was a furthest site triangulation and False if not.

Raises

: QhullError

Raised when Qhull encounters an error condition, such as geometrical degeneracy when options to resolve are not enabled.

: ValueError

Raised if an incompatible array is given as input.

Notes

The Voronoi diagram is computed using the Qhull library.

Examples

Voronoi diagram for a set of point: 
import numpy as np
points = np.array([[0, 0], [0, 1], [0, 2], [1, 0], [1, 1], [1, 2],
                   [2, 0], [2, 1], [2, 2]])
from scipy.spatial import Voronoi, voronoi_plot_2d
vor = Voronoi(points)
✓
Plot it: 
import matplotlib.pyplot as plt
fig = voronoi_plot_2d(vor)
plt.show()
✓
fig-7744d448fbd44c90.png
The Voronoi vertices: 
vor.vertices
✓
There is a single finite Voronoi region, and four finite Voronoi ridges: 
vor.regions
vor.ridge_vertices
✓
The ridges are perpendicular between lines drawn between the following input points: 
vor.ridge_points
✓

Aliases

  • scipy.spatial.Voronoi

Referenced by

This package