.. note::
    :class: sphx-glr-download-link-note

    Click :ref:`here <sphx_glr_download_auto_examples_color_exposure_plot_local_equalize.py>` to download the full example code
.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_color_exposure_plot_local_equalize.py:


============================
Local Histogram Equalization
============================

This examples enhances an image with low contrast, using a method called *local
histogram equalization*, which spreads out the most frequent intensity values
in an image.

The equalized image [1]_ has a roughly linear cumulative distribution function
for each pixel neighborhood.

The local version [2]_ of the histogram equalization emphasized every local
graylevel variations.

References
----------
.. [1] http://en.wikipedia.org/wiki/Histogram_equalization
.. [2] http://en.wikipedia.org/wiki/Adaptive_histogram_equalization





.. image:: /auto_examples/color_exposure/images/sphx_glr_plot_local_equalize_001.png
    :class: sphx-glr-single-img





.. code-block:: python

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

    from skimage import data
    from skimage.util.dtype import dtype_range
    from skimage.util import img_as_ubyte
    from skimage import exposure
    from skimage.morphology import disk
    from skimage.filters import rank


    matplotlib.rcParams['font.size'] = 9


    def plot_img_and_hist(image, 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(image, cmap=plt.cm.gray)
        ax_img.set_axis_off()

        # Display histogram
        ax_hist.hist(image.ravel(), bins=bins)
        ax_hist.ticklabel_format(axis='y', style='scientific', scilimits=(0, 0))
        ax_hist.set_xlabel('Pixel intensity')

        xmin, xmax = dtype_range[image.dtype.type]
        ax_hist.set_xlim(xmin, xmax)

        # Display cumulative distribution
        img_cdf, bins = exposure.cumulative_distribution(image, bins)
        ax_cdf.plot(bins, img_cdf, 'r')

        return ax_img, ax_hist, ax_cdf


    # Load an example image
    img = img_as_ubyte(data.moon())

    # Global equalize
    img_rescale = exposure.equalize_hist(img)

    # Equalization
    selem = disk(30)
    img_eq = rank.equalize(img, selem=selem)


    # Display results
    fig = plt.figure(figsize=(8, 5))
    axes = np.zeros((2, 3), dtype=np.object)
    axes[0, 0] = plt.subplot(2, 3, 1)
    axes[0, 1] = plt.subplot(2, 3, 2, sharex=axes[0, 0], sharey=axes[0, 0])
    axes[0, 2] = plt.subplot(2, 3, 3, sharex=axes[0, 0], sharey=axes[0, 0])
    axes[1, 0] = plt.subplot(2, 3, 4)
    axes[1, 1] = plt.subplot(2, 3, 5)
    axes[1, 2] = plt.subplot(2, 3, 6)

    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('Global equalise')

    ax_img, ax_hist, ax_cdf = plot_img_and_hist(img_eq, axes[:, 2])
    ax_img.set_title('Local equalize')
    ax_cdf.set_ylabel('Fraction of total intensity')


    # prevent overlap of y-axis labels
    fig.tight_layout()
    plt.show()

**Total running time of the script:** ( 0 minutes  2.114 seconds)


.. _sphx_glr_download_auto_examples_color_exposure_plot_local_equalize.py:


.. only :: html

 .. container:: sphx-glr-footer
    :class: sphx-glr-footer-example



  .. container:: sphx-glr-download

     :download:`Download Python source code: plot_local_equalize.py <plot_local_equalize.py>`



  .. container:: sphx-glr-download

     :download:`Download Jupyter notebook: plot_local_equalize.ipynb <plot_local_equalize.ipynb>`


.. only:: html

 .. rst-class:: sphx-glr-signature

    `Gallery generated by Sphinx-Gallery <https://sphinx-gallery.readthedocs.io>`_
