.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples/01_quick-start/01_02_spline_bases.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_01_quick-start_01_02_spline_bases.py>`
        to download the full example code. or to run this example in your browser via JupyterLite or Binder

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

.. _sphx_glr_auto_examples_01_quick-start_01_02_spline_bases.py:


Spline bases
============

Plotting the spline bases of the library.

.. GENERATED FROM PYTHON SOURCE LINES 13-17

Imports and Utilities
---------------------

Define a helper function to visualize the spline bases.

.. GENERATED FROM PYTHON SOURCE LINES 17-42

.. code-block:: Python


    import numpy as np
    import matplotlib.pyplot as plt
    from splineops.bases.utils import create_basis

    x_values = np.linspace(-3, 3, 1000)

    def plot_bases(names, x_values, title):
        plt.figure(figsize=(12, 6))
        for name in names:
            if name == "keys":
                readable_name = "Keys Spline"
            else:
                name_parts = name.split("-")
                readable_name = f"{name_parts[0][:-1]} degree {name_parts[0][-1]}"
            y_values = create_basis(name).eval(x_values)
            plt.plot(x_values, y_values, label=readable_name)

        plt.title(title)
        plt.xlabel("x")
        plt.ylabel("y")
        plt.grid(True)
        plt.legend()
        plt.show()








.. GENERATED FROM PYTHON SOURCE LINES 43-47

Plot B-Spline Bases
-------------------

Plot B-spline basis functions for degree 0 to 9.

.. GENERATED FROM PYTHON SOURCE LINES 47-54

.. code-block:: Python


    plot_bases(
        names=[f"bspline{i}" for i in range(10)],
        x_values=x_values,
        title="B-Spline Basis Functions: Degrees 0 to 9",
    )




.. image-sg:: /auto_examples/01_quick-start/images/sphx_glr_01_02_spline_bases_001.png
   :alt: B-Spline Basis Functions: Degrees 0 to 9
   :srcset: /auto_examples/01_quick-start/images/sphx_glr_01_02_spline_bases_001.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 55-59

Plot OMOMS Bases
----------------

Plot OMOMS basis functions for degree 0 to 5.

.. GENERATED FROM PYTHON SOURCE LINES 59-66

.. code-block:: Python


    plot_bases(
        names=[f"omoms{i}" for i in range(6)],
        x_values=x_values,
        title="OMOMS Basis Functions: Degrees 0 to 5",
    )




.. image-sg:: /auto_examples/01_quick-start/images/sphx_glr_01_02_spline_bases_002.png
   :alt: OMOMS Basis Functions: Degrees 0 to 5
   :srcset: /auto_examples/01_quick-start/images/sphx_glr_01_02_spline_bases_002.png
   :class: sphx-glr-single-img





.. GENERATED FROM PYTHON SOURCE LINES 67-71

Plot Keys Basis
---------------

Plot the Keys basis function.

.. GENERATED FROM PYTHON SOURCE LINES 71-76

.. code-block:: Python


    plot_bases(
        names=["keys"],
        x_values=x_values,
        title="Keys Basis Function",
    )


.. image-sg:: /auto_examples/01_quick-start/images/sphx_glr_01_02_spline_bases_003.png
   :alt: Keys Basis Function
   :srcset: /auto_examples/01_quick-start/images/sphx_glr_01_02_spline_bases_003.png
   :class: sphx-glr-single-img






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

   **Total running time of the script:** (0 minutes 0.281 seconds)


.. _sphx_glr_download_auto_examples_01_quick-start_01_02_spline_bases.py:

.. only:: html

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

    .. container:: binder-badge

      .. image:: images/binder_badge_logo.svg
        :target: https://mybinder.org/v2/gh/splineops/splineops.github.io/main?urlpath=lab/tree/notebooks_binder/auto_examples/01_quick-start/01_02_spline_bases.ipynb
        :alt: Launch binder
        :width: 150 px

    .. container:: lite-badge

      .. image:: images/jupyterlite_badge_logo.svg
        :target: ../../lite/lab/index.html?path=auto_examples/01_quick-start/01_02_spline_bases.ipynb
        :alt: Launch JupyterLite
        :width: 150 px

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

      :download:`Download Jupyter notebook: 01_02_spline_bases.ipynb <01_02_spline_bases.ipynb>`

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

      :download:`Download Python source code: 01_02_spline_bases.py <01_02_spline_bases.py>`

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

      :download:`Download zipped: 01_02_spline_bases.zip <01_02_spline_bases.zip>`


.. only:: html

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

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