Segmenting the picture of a raccoon face in regionsΒΆ

This example uses Spectral clustering on a graph created from voxel-to-voxel difference on an image to break this image into multiple partly-homogeneous regions.

This procedure (spectral clustering on an image) is an efficient approximate solution for finding normalized graph cuts.

There are two options to assign labels:

  • with ‘kmeans’ spectral clustering will cluster samples in the embedding space using a kmeans algorithm
  • whereas ‘discrete’ will iteratively search for the closest partition space to the embedding space.

# Author: Gael Varoquaux <>, Brian Cheung
# License: BSD 3 clause

import time

import numpy as np
import scipy as sp
import matplotlib.pyplot as plt

from sklearn.feature_extraction import image
from sklearn.cluster import spectral_clustering

# load the raccoon face as a numpy array
try:  # SciPy >= 0.16 have face in misc
    from scipy.misc import face
    face = face(gray=True)
except ImportError:
    face = sp.face(gray=True)

# Resize it to 10% of the original size to speed up the processing
face = sp.misc.imresize(face, 0.10) / 255.

# Convert the image into a graph with the value of the gradient on the
# edges.
graph = image.img_to_graph(face)

# Take a decreasing function of the gradient: an exponential
# The smaller beta is, the more independent the segmentation is of the
# actual image. For beta=1, the segmentation is close to a voronoi
beta = 5
eps = 1e-6 = np.exp(-beta * / + eps

# Apply spectral clustering (this step goes much faster if you have pyamg
# installed)

Visualize the resulting regions

for assign_labels in ('kmeans', 'discretize'):
    t0 = time.time()
    labels = spectral_clustering(graph, n_clusters=N_REGIONS,
                                 assign_labels=assign_labels, random_state=1)
    t1 = time.time()
    labels = labels.reshape(face.shape)

    plt.figure(figsize=(5, 5))
    for l in range(N_REGIONS):
        plt.contour(labels == l, contours=1,
                    colors=[ / float(N_REGIONS))])
    title = 'Spectral clustering: %s, %.2fs' % (assign_labels, (t1 - t0))
  • ../../_images/sphx_glr_plot_face_segmentation_001.png
  • ../../_images/sphx_glr_plot_face_segmentation_002.png


Spectral clustering: kmeans, 6.94s
Spectral clustering: discretize, 5.87s

Total running time of the script: ( 0 minutes 14.050 seconds)

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