Added sections to gallery of examples

Modified travis_script.sh to account for the new structure of the gallery

Added README.txt files in directories of gallery examples

Fixed references to gallery images in user guide pages

Fixed broken links
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emmanuelle
2015-12-19 15:28:15 +01:00
parent 827e4b11c9
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"""
===============================================================
Comparing edge-based segmentation and region-based segmentation
===============================================================
In this example, we will see how to segment objects from a background. We use
the ``coins`` image from ``skimage.data``, which shows several coins outlined
against a darker background.
"""
import numpy as np
import matplotlib.pyplot as plt
from skimage import data
coins = data.coins()
hist = np.histogram(coins, bins=np.arange(0, 256))
fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(8, 3))
ax1.imshow(coins, cmap=plt.cm.gray, interpolation='nearest')
ax1.axis('off')
ax2.plot(hist[1][:-1], hist[0], lw=2)
ax2.set_title('histogram of grey values')
"""
.. image:: PLOT2RST.current_figure
Thresholding
============
A simple way to segment the coins is to choose a threshold based on the
histogram of grey values. Unfortunately, thresholding this image gives a binary
image that either misses significant parts of the coins or merges parts of the
background with the coins:
"""
fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(6, 3), sharex=True, sharey=True)
ax1.imshow(coins > 100, cmap=plt.cm.gray, interpolation='nearest')
ax1.set_title('coins > 100')
ax1.axis('off')
ax1.set_adjustable('box-forced')
ax2.imshow(coins > 150, cmap=plt.cm.gray, interpolation='nearest')
ax2.set_title('coins > 150')
ax2.axis('off')
ax2.set_adjustable('box-forced')
margins = dict(hspace=0.01, wspace=0.01, top=1, bottom=0, left=0, right=1)
fig.subplots_adjust(**margins)
"""
.. image:: PLOT2RST.current_figure
Edge-based segmentation
=======================
Next, we try to delineate the contours of the coins using edge-based
segmentation. To do this, we first get the edges of features using the Canny
edge-detector.
"""
from skimage.feature import canny
edges = canny(coins/255.)
fig, ax = plt.subplots(figsize=(4, 3))
ax.imshow(edges, cmap=plt.cm.gray, interpolation='nearest')
ax.axis('off')
ax.set_title('Canny detector')
"""
.. image:: PLOT2RST.current_figure
These contours are then filled using mathematical morphology.
"""
from scipy import ndimage as ndi
fill_coins = ndi.binary_fill_holes(edges)
fig, ax = plt.subplots(figsize=(4, 3))
ax.imshow(fill_coins, cmap=plt.cm.gray, interpolation='nearest')
ax.axis('off')
ax.set_title('Filling the holes')
"""
.. image:: PLOT2RST.current_figure
Small spurious objects are easily removed by setting a minimum size for valid
objects.
"""
from skimage import morphology
coins_cleaned = morphology.remove_small_objects(fill_coins, 21)
fig, ax = plt.subplots(figsize=(4, 3))
ax.imshow(coins_cleaned, cmap=plt.cm.gray, interpolation='nearest')
ax.axis('off')
ax.set_title('Removing small objects')
"""
.. image:: PLOT2RST.current_figure
However, this method is not very robust, since contours that are not perfectly
closed are not filled correctly, as is the case for one unfilled coin above.
Region-based segmentation
=========================
We therefore try a region-based method using the watershed transform. First, we
find an elevation map using the Sobel gradient of the image.
"""
from skimage.filters import sobel
elevation_map = sobel(coins)
fig, ax = plt.subplots(figsize=(4, 3))
ax.imshow(elevation_map, cmap=plt.cm.jet, interpolation='nearest')
ax.axis('off')
ax.set_title('elevation_map')
"""
.. image:: PLOT2RST.current_figure
Next we find markers of the background and the coins based on the extreme parts
of the histogram of grey values.
"""
markers = np.zeros_like(coins)
markers[coins < 30] = 1
markers[coins > 150] = 2
fig, ax = plt.subplots(figsize=(4, 3))
ax.imshow(markers, cmap=plt.cm.spectral, interpolation='nearest')
ax.axis('off')
ax.set_title('markers')
"""
.. image:: PLOT2RST.current_figure
Finally, we use the watershed transform to fill regions of the elevation map
starting from the markers determined above:
"""
segmentation = morphology.watershed(elevation_map, markers)
fig, ax = plt.subplots(figsize=(4, 3))
ax.imshow(segmentation, cmap=plt.cm.gray, interpolation='nearest')
ax.axis('off')
ax.set_title('segmentation')
"""
.. image:: PLOT2RST.current_figure
This last method works even better, and the coins can be segmented and labeled
individually.
"""
from skimage.color import label2rgb
segmentation = ndi.binary_fill_holes(segmentation - 1)
labeled_coins, _ = ndi.label(segmentation)
image_label_overlay = label2rgb(labeled_coins, image=coins)
fig, (ax1, ax2) = plt.subplots(1, 2, figsize=(6, 3), sharex=True, sharey=True)
ax1.imshow(coins, cmap=plt.cm.gray, interpolation='nearest')
ax1.contour(segmentation, [0.5], linewidths=1.2, colors='y')
ax1.axis('off')
ax1.set_adjustable('box-forced')
ax2.imshow(image_label_overlay, interpolation='nearest')
ax2.axis('off')
ax2.set_adjustable('box-forced')
fig.subplots_adjust(**margins)
"""
.. image:: PLOT2RST.current_figure
"""
plt.show()