"""
==========================================
Find the intersection of two segmentations
==========================================

When segmenting an image, you may want to combine multiple alternative
segmentations. The `skimage.segmentation.join_segmentations` function
computes the join of two segmentations, in which a pixel is placed in
the same segment if and only if it is in the same segment in _both_
segmentations.

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

from skimage.filter import sobel
from skimage.segmentation import slic, join_segmentations
from skimage.morphology import watershed
from skimage.color import label2rgb
from skimage import data


coins = data.coins()

# make segmentation using edge-detection and watershed
edges = sobel(coins)
markers = np.zeros_like(coins)
foreground, background = 1, 2
markers[coins < 30] = background
markers[coins > 150] = foreground

ws = watershed(edges, markers)
seg1 = nd.label(ws == foreground)[0]

# make segmentation using SLIC superpixels

# make the RGB equivalent of `coins`
coins_colour = np.tile(coins[..., np.newaxis], (1, 1, 3))
seg2 = slic(coins_colour, n_segments=30, max_iter=160, sigma=1, ratio=9,
            convert2lab=False)

# combine the two
segj = join_segmentations(seg1, seg2)

# show the segmentations
fig, axes = plt.subplots(ncols=4, figsize=(9, 2.5))
axes[0].imshow(coins, cmap=plt.cm.gray, interpolation='nearest')
axes[0].set_title('Image')

color1 = label2rgb(seg1, image=coins, bg_label=0)
axes[1].imshow(color1, interpolation='nearest')
axes[1].set_title('Sobel+Watershed')

color2 = label2rgb(seg2, image=coins, image_alpha=0.5)
axes[2].imshow(color2, interpolation='nearest')
axes[2].set_title('SLIC superpixels')

color3 = label2rgb(segj, image=coins, image_alpha=0.5)
axes[3].imshow(color3, interpolation='nearest')
axes[3].set_title('Join')

for ax in axes:
    ax.axis('off')
plt.subplots_adjust(hspace=0.01, wspace=0.01, top=1, bottom=0, left=0, right=1)
plt.show()