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

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

.. _sphx_glr_intro_scipy_auto_examples_plot_mathematical_morpho.py:


=============================
Demo mathematical morphology
=============================

A basic demo of binary opening and closing.




.. image:: /intro/scipy/auto_examples/images/sphx_glr_plot_mathematical_morpho_001.png
    :class: sphx-glr-single-img





.. code-block:: python


    # Generate some binary data
    import numpy as np
    np.random.seed(0)
    a = np.zeros((50, 50))
    a[10:-10, 10:-10] = 1
    a += 0.25 * np.random.standard_normal(a.shape)
    mask = a>=0.5

    # Apply mathematical morphology
    from scipy import ndimage
    opened_mask = ndimage.binary_opening(mask)
    closed_mask = ndimage.binary_closing(opened_mask)

    # Plot
    from matplotlib import pyplot as plt

    plt.figure(figsize=(12, 3.5))
    plt.subplot(141)
    plt.imshow(a, cmap=plt.cm.gray)
    plt.axis('off')
    plt.title('a')

    plt.subplot(142)
    plt.imshow(mask, cmap=plt.cm.gray)
    plt.axis('off')
    plt.title('mask')

    plt.subplot(143)
    plt.imshow(opened_mask, cmap=plt.cm.gray)
    plt.axis('off')
    plt.title('opened_mask')

    plt.subplot(144)
    plt.imshow(closed_mask, cmap=plt.cm.gray)
    plt.title('closed_mask')
    plt.axis('off')

    plt.subplots_adjust(wspace=.05, left=.01, bottom=.01, right=.99, top=.99)

    plt.show()



**Total running time of the script:** ( 0 minutes  0.041 seconds)


.. _sphx_glr_download_intro_scipy_auto_examples_plot_mathematical_morpho.py:


.. only :: html

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



  .. container:: sphx-glr-download

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



  .. container:: sphx-glr-download

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


.. only:: html

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

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