.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/plot_example1.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_example1.py>`
        to download the full example code.

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

.. _sphx_glr_auto_examples_plot_example1.py:


Closed interpolating splines
============================

This example shows different closed interpolating splines.

.. GENERATED FROM PYTHON SOURCE LINES 7-45



.. image-sg:: /auto_examples/images/sphx_glr_plot_example1_001.png
   :alt: B1, B3, Exponential, CatmullRom
   :srcset: /auto_examples/images/sphx_glr_plot_example1_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import math

    import matplotlib.pyplot as plt
    import numpy as np
    import splinebox.basis_functions
    import splinebox.spline_curves

    n, m = 2, 2
    fig, axes = plt.subplots(n, m, sharex=True, sharey=True)

    # Some pixel coordinates to interpolate
    coordinates = np.array([[0, 100], [50, 100], [100, 50], [100, 0], [100, -100], [50, -50], [0, -100], [-100, 0]])

    for i in range(n):
        for j in range(m):
            axes[i, j].scatter(coordinates[:, 0], coordinates[:, 1])

    # The parameter values at which the spline is evaluated
    x = np.linspace(0, len(coordinates), 1000)

    for i, (name, basis_function) in enumerate(
        (
            ("B1", splinebox.basis_functions.B1()),
            ("B3", splinebox.basis_functions.B3()),
            ("Exponential", splinebox.basis_functions.Exponential(len(coordinates), 2.0 * math.pi / len(coordinates))),
            ("CatmullRom", splinebox.basis_functions.CatmullRom()),
        )
    ):
        curve = splinebox.spline_curves.Spline(len(coordinates), basis_function, True)
        curve.getCoefsFromKnots(coordinates)
        discreteContour = curve.eval(x)

        axes[i // n, i % n].plot(discreteContour[:, 0], discreteContour[:, 1])
        axes[i // n, i % n].set_title(name)
        axes[i // n, i % n].set_aspect("equal", adjustable="box")

    plt.show()


.. rst-class:: sphx-glr-timing

   **Total running time of the script:** (0 minutes 4.585 seconds)


.. _sphx_glr_download_auto_examples_plot_example1.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: plot_example1.ipynb <plot_example1.ipynb>`

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

      :download:`Download Python source code: plot_example1.py <plot_example1.py>`


.. only:: html

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

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