.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/plot_polygon.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_polygon.py>`
        to download the full example code.

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

.. _sphx_glr_auto_examples_plot_polygon.py:


Polygon meshing
===============

.. GENERATED FROM PYTHON SOURCE LINES 7-13

.. code-block:: Python

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








.. GENERATED FROM PYTHON SOURCE LINES 14-15

Define a non-convex regular polygon from a set of points

.. GENERATED FROM PYTHON SOURCE LINES 15-24

.. code-block:: Python

    polyline = []
    n = 20
    for i in range(n):
        r = 2.0 + i % 2
        theta = i * 2.0 * math.pi / n
        x = r * math.cos(theta)
        y = r * math.sin(theta)
        polyline.append([x, y])








.. GENERATED FROM PYTHON SOURCE LINES 25-26

Repeat the first point to draw the closed polygon

.. GENERATED FROM PYTHON SOURCE LINES 26-33

.. code-block:: Python

    polyline_closed = copy.copy(polyline)
    polyline_closed.append(polyline[0])
    graph = ot.Graph("Polygon", "X1", "X2", True, '')
    curve = ot.Curve(polyline_closed)
    graph.add(curve)
    view = otv.View(graph)




.. image-sg:: /auto_examples/images/sphx_glr_plot_polygon_001.png
   :alt: Polygon
   :srcset: /auto_examples/images/sphx_glr_plot_polygon_001.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 34-35

Triangulate the polygon

.. GENERATED FROM PYTHON SOURCE LINES 35-38

.. code-block:: Python

    mesher = otmeshing.PolygonMesher()
    triangulation = mesher.build(polyline)








.. GENERATED FROM PYTHON SOURCE LINES 39-40

Plot triangulation

.. GENERATED FROM PYTHON SOURCE LINES 40-45

.. code-block:: Python

    graph = triangulation.draw()
    graph.setLegendPosition("upper left")
    graph.setTitle("Polygon triangulation")
    view = otv.View(graph)




.. image-sg:: /auto_examples/images/sphx_glr_plot_polygon_002.png
   :alt: Polygon triangulation
   :srcset: /auto_examples/images/sphx_glr_plot_polygon_002.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 46-47

.. code-block:: Python

    otv.View.ShowAll()








.. _sphx_glr_download_auto_examples_plot_polygon.py:

.. only:: html

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

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

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

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

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

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

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