.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/plot_intersection.py"
.. LINE NUMBERS ARE GIVEN BELOW.

.. only:: html

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

        :ref:`Go to the end <sphx_glr_download_auto_examples_plot_intersection.py>`
        to download the full example code.

.. rst-class:: sphx-glr-example-title

.. _sphx_glr_auto_examples_plot_intersection.py:


Intersection meshing
====================

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In this example we will see how to define a mesh from the intersection of several meshes.

.. GENERATED FROM PYTHON SOURCE LINES 10-15

.. code-block:: Python

    import math
    import openturns as ot
    import openturns.viewer as otv
    import otmeshing as otm








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First mesh: a box

.. GENERATED FROM PYTHON SOURCE LINES 17-19

.. code-block:: Python

    mesh1 = ot.IntervalMesher([1] * 2).build(ot.Interval([-1.2] * 2, [1.2] * 2))








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Plot first mesh

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.. code-block:: Python

    graph = mesh1.draw()
    graph.setLegendPosition("upper left")
    graph.setTitle("Mesh 1")
    view = otv.View(graph)




.. image-sg:: /auto_examples/images/sphx_glr_plot_intersection_001.png
   :alt: Mesh 1
   :srcset: /auto_examples/images/sphx_glr_plot_intersection_001.png
   :class: sphx-glr-single-img





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Second mesh: an arch

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.. code-block:: Python

    mesh2 = ot.IntervalMesher([10, 10]).build(ot.Interval([1.0, 0.0], [2.0, math.pi]))
    f = ot.SymbolicFunction(["r", "theta"], ["r*cos(theta)", "r*sin(theta)"])
    mesh2.setVertices(f(mesh2.getVertices()))








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Plot second mesh

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.. code-block:: Python

    graph = mesh2.draw()
    graph.setLegendPosition("upper left")
    graph.setTitle("Mesh 2")
    view = otv.View(graph)




.. image-sg:: /auto_examples/images/sphx_glr_plot_intersection_002.png
   :alt: Mesh 2
   :srcset: /auto_examples/images/sphx_glr_plot_intersection_002.png
   :class: sphx-glr-single-img





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Compute the intersection

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.. code-block:: Python

    mesher = otm.IntersectionMesher()
    intersection = mesher.build([mesh1, mesh2])








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Plot union

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.. code-block:: Python

    graph = intersection.draw()
    graph.setLegendPosition("upper left")
    graph.setTitle("Mesh intersection")
    view = otv.View(graph)




.. image-sg:: /auto_examples/images/sphx_glr_plot_intersection_003.png
   :alt: Mesh intersection
   :srcset: /auto_examples/images/sphx_glr_plot_intersection_003.png
   :class: sphx-glr-single-img





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.. code-block:: Python

    otv.View.ShowAll()








.. _sphx_glr_download_auto_examples_plot_intersection.py:

.. only:: html

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

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

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

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

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

    .. container:: sphx-glr-download sphx-glr-download-zip

      :download:`Download zipped: plot_intersection.zip <plot_intersection.zip>`