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scikit-image/doc/examples/plot_equalize.py
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"""
======================
Histogram Equalization
======================
This examples enhances an image with low contrast, using a method called
*histogram equalization*, which "spreads out the most frequent intensity
values" in an image [1]_. The equalized image has a roughly linear cumulative
distribution function.
While histogram equalization has the advantage that it requires no parameters,
it sometimes yields unnatural looking images. An alternative method is
*contrast stretching*, where the image is rescaled to include all intensities
that fall within the 2nd and 98th percentiles [2]_.
.. [1] http://en.wikipedia.org/wiki/Histogram_equalization
.. [2] http://homepages.inf.ed.ac.uk/rbf/HIPR2/stretch.htm
"""
from skimage import data, img_as_ubyte
from skimage.util.dtype import dtype_range
from skimage import exposure
import matplotlib.pyplot as plt
import numpy as np
def plot_img_and_hist(img, axes, bins=256):
"""Plot an image along with its histogram and cumulative histogram.
"""
ax_img, ax_hist = axes
ax_cdf = ax_hist.twinx()
# Display image
ax_img.imshow(img, cmap=plt.cm.gray)
ax_img.set_axis_off()
# Display histogram
ax_hist.hist(img.ravel(), bins=bins, histtype='stepfilled')
ax_hist.ticklabel_format(axis='y', style='scientific', scilimits=(0, 0))
ax_hist.set_xlabel('Pixel intensity')
xmin, xmax = dtype_range[img.dtype.type]
ax_hist.set_xlim(xmin, xmax)
# Display cumulative distribution
img_cdf, bins = exposure.cumulative_distribution(img, bins)
ax_cdf.plot(bins, img_cdf, 'r')
return ax_img, ax_hist, ax_cdf
# Load an example image
img = data.moon()
# Contrast stretching
p2 = np.percentile(img, 2)
p98 = np.percentile(img, 98)
img_rescale = exposure.rescale_intensity(img, in_range=(p2, p98))
# Equalization
img_eq = exposure.equalize(img)
img_eq = img_as_ubyte(img_eq)
# Adaptive Equalization
img_adapteq = exposure.adapthist(img, clip_limit=0.03)
img_adapteq = img_as_ubyte(img_adapteq)
# Display results
f, axes = plt.subplots(2, 4, figsize=(8, 4))
ax_img, ax_hist, ax_cdf = plot_img_and_hist(img, axes[:, 0])
ax_img.set_title('Low contrast image')
ax_hist.set_ylabel('Number of pixels')
ax_img, ax_hist, ax_cdf = plot_img_and_hist(img_rescale, axes[:, 1])
ax_img.set_title('Contrast stretching')
ax_img, ax_hist, ax_cdf = plot_img_and_hist(img_eq, axes[:, 2])
ax_img.set_title('Histogram equalization')
ax_cdf.set_ylabel('Fraction of total intensity')
ax_img, ax_hist, ax_cdf = plot_img_and_hist(img_adapteq, axes[:, 3])
ax_img.set_title('Adaptive equalization')
ax_cdf.set_ylabel('Fraction of total intensity')
# prevent overlap of y-axis labels
plt.subplots_adjust(wspace=0.4)
plt.show()