:orphan:

Examples
==================

Below is a list of examples for various workflows using the MultiScaleOT library from python.
A convenient way to try them is via :ref:`Google colab <installation-google-colab>`.



.. raw:: html

    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates on a simple 1-dimensional example the basic usage of the TMultiScaleSetupGrid class for representing a point cloud with a measure on multiple resolution levels and how to use the SparseSinkhorn solver.">

.. only:: html

  .. image:: /auto_examples/images/thumb/sphx_glr_plot_0010_multiscale-setup_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_0010_multiscale-setup.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">1d Sparse Sinkhorn</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example computes the optimal transport between two simple 2-dimensional images and then generates a simple approximation of the displacement interpolation">

.. only:: html

  .. image:: /auto_examples/images/thumb/sphx_glr_plot_0011_2d-image-interpolation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_0011_2d-image-interpolation.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">2d Image Interpolation</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Compute optimal transport between two point clouds in 3d, then compute displacement interpolation and rasterize a 2d projection of it to an image">

.. only:: html

  .. image:: /auto_examples/images/thumb/sphx_glr_plot_0015_3d-pointclouds_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_0015_3d-pointclouds.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">3d Point clouds</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example demonstrates on a simple 1-dimensional example the basic usage of the TSinkhornSolverBarycenter class for computing a Wasserstein barycenter with entropic regularization.">

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  .. image:: /auto_examples/images/thumb/sphx_glr_plot_0020_1d-barycenter_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_0020_1d-barycenter.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">1d Barycenter with Sinkhorn</div>
    </div>


.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="This example computes the Hellinger--Kantorovich unbalanced optimal transport between two simple 2-dimensional images and then generates a simple approximation of the displacement interpolation">

.. only:: html

  .. image:: /auto_examples/images/thumb/sphx_glr_plot_0012_2d-HK-interpolation_thumb.png
    :alt:

  :ref:`sphx_glr_auto_examples_plot_0012_2d-HK-interpolation.py`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">2d Image Interpolation: Hellinger--Kantorovich distance</div>
    </div>


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.. raw:: html

    </div>


.. toctree::
   :hidden:

   /auto_examples/plot_0010_multiscale-setup
   /auto_examples/plot_0011_2d-image-interpolation
   /auto_examples/plot_0015_3d-pointclouds
   /auto_examples/plot_0020_1d-barycenter
   /auto_examples/plot_0012_2d-HK-interpolation


.. only:: html

  .. container:: sphx-glr-footer sphx-glr-footer-gallery

    .. container:: sphx-glr-download sphx-glr-download-python

      :download:`Download all examples in Python source code: auto_examples_python.zip </auto_examples/auto_examples_python.zip>`

    .. container:: sphx-glr-download sphx-glr-download-jupyter

      :download:`Download all examples in Jupyter notebooks: auto_examples_jupyter.zip </auto_examples/auto_examples_jupyter.zip>`


.. only:: html

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

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