"""
Opening, erosion, and propagation
==================================

This example shows simple operations of mathematical morphology.
"""

import numpy as np
from scipy import ndimage
import matplotlib.pyplot as plt

square = np.zeros((32, 32))
square[10:-10, 10:-10] = 1
np.random.seed(2)
x, y = (32*np.random.random((2, 20))).astype(np.int)
square[x, y] = 1

open_square = ndimage.binary_opening(square)

eroded_square = ndimage.binary_erosion(square)
reconstruction = ndimage.binary_propagation(eroded_square, mask=square)

plt.figure(figsize=(9.5, 3))
plt.subplot(131)
plt.imshow(square, cmap=plt.cm.gray, interpolation='nearest')
plt.axis('off')
plt.subplot(132)
plt.imshow(open_square, cmap=plt.cm.gray, interpolation='nearest')
plt.axis('off')
plt.subplot(133)
plt.imshow(reconstruction, cmap=plt.cm.gray, interpolation='nearest')
plt.axis('off')

plt.subplots_adjust(wspace=0, hspace=0.02, top=0.99, bottom=0.01, left=0.01, right=0.99)
plt.show()