.. _sphx_glr_api_gallery_geometry_distances:

Distances between shapes
------------------------

The Hausdorff distance between point sets.


.. raw:: html

  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


.. raw:: html

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

.. thumbnail-parent-div-open

.. raw:: html

    <div class="sphx-glr-thumbcontainer" tooltip="Compares a circle with approximating polygons. The Hausdorff distance measures the worst-case gap between the two shapes and shrinks like 1/n^2 as the polygon gains sides; a single stray point makes it large even though every other point matches.">

.. only:: html

  .. image:: /api/gallery/geometry/distances/images/thumb/sphx_glr_plot_01_hausdorff_distance_thumb.png
    :alt:

  :doc:`/api/gallery/geometry/distances/plot_01_hausdorff_distance`

.. raw:: html

      <div class="sphx-glr-thumbnail-title">The Hausdorff distance between shapes</div>
    </div>


.. thumbnail-parent-div-close

.. raw:: html

    </div>


.. toctree::
   :hidden:

   /api/gallery/geometry/distances/plot_01_hausdorff_distance