.. _sphx_glr_auto_examples_plot_procrustes.py:


=============================
Aligning two matrices with the procrustes function
=============================

In this example, we load in some synthetic data, rotate it, and then use the
procustes function to get the datasets back in alignment.  The procrustes
function uses linear transformations to project a source matrix into the
space of a target matrix.




.. rst-class:: sphx-glr-horizontal


    *

      .. image:: /auto_examples/images/sphx_glr_plot_procrustes_001.png
            :scale: 47

    *

      .. image:: /auto_examples/images/sphx_glr_plot_procrustes_002.png
            :scale: 47





.. code-block:: python


    # Code source: Andrew Heusser
    # License: MIT

    # import
    import hypertools as hyp
    import numpy as np
    import scipy

    # load example data
    geo = hyp.load('spiral')
    geo.plot(title='Before Alignment')

    # use procrusted to align the data
    source, target = geo.get_data()
    aligned = [hyp.tools.procrustes(source, target), target]

    # after alignment
    hyp.plot(aligned, ['-','--'], title='After alignment')

**Total running time of the script:** ( 0 minutes  0.222 seconds)



.. only :: html

 .. container:: sphx-glr-footer


  .. container:: sphx-glr-download

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



  .. container:: sphx-glr-download

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


.. only:: html

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

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