.. DO NOT EDIT.
.. THIS FILE WAS AUTOMATICALLY GENERATED BY SPHINX-GALLERY.
.. TO MAKE CHANGES, EDIT THE SOURCE PYTHON FILE:
.. "auto_examples\example_06_fit_real_concave_ellipsoid_with_tol.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_example_06_fit_real_concave_ellipsoid_with_tol.py>`
        to download the full example code.

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

.. _sphx_glr_auto_examples_example_06_fit_real_concave_ellipsoid_with_tol.py:


Example 06: Fit real data of a concave ellipsoid
================================================

This example shows how to fit real data of a concave ellipsoid using the XMF library.

.. GENERATED FROM PYTHON SOURCE LINES 8-62



.. image-sg:: /auto_examples/images/sphx_glr_example_06_fit_real_concave_ellipsoid_with_tol_001.png
   :alt: Concave Ellipsoid, Fitting, Residual
   :srcset: /auto_examples/images/sphx_glr_example_06_fit_real_concave_ellipsoid_with_tol_001.png
   :class: sphx-glr-single-img





.. code-block:: Python


    import os
    from scipy.io import loadmat
    import xmf

    # Load the data
    concave_ellipsoid_map = loadmat(os.path.join('..', '..', '..', 'real_data', 'sample_03_concave_ellipsoid_height_map.mat'))

    p = concave_ellipsoid_map['params_target'][0][0][0][0][0]
    q = concave_ellipsoid_map['params_target'][0][0][1][0][0]
    theta = concave_ellipsoid_map['params_target'][0][0][2][0][0]
    x_i = concave_ellipsoid_map['params_target'][0][0][3][0][0]
    y_i = concave_ellipsoid_map['params_target'][0][0][4][0][0]
    z_i = concave_ellipsoid_map['params_target'][0][0][5][0][0]
    alpha = concave_ellipsoid_map['params_target'][0][0][6][0][0]
    beta = concave_ellipsoid_map['params_target'][0][0][7][0][0]
    gamma = concave_ellipsoid_map['params_target'][0][0][8][0][0]

    x2d = concave_ellipsoid_map['x2d']
    y2d = concave_ellipsoid_map['y2d']
    z2d_measured = concave_ellipsoid_map['z2d']

    # Target parameters as dictionary
    target_params_dict = {
        'p': p,
        'q': q,
        'theta': theta,
        'x_i': x_i,
        'y_i': y_i,
        'z_i': z_i,
        'alpha': alpha,
        'beta': beta,
        'gamma': gamma
    }

    # Set input parameters as dictionary
    input_params_dict = {
        'p': p,
        'q': q,
        'theta': theta
    }

    # Set the tolerance dictionary
    opt_dict = {
        'p': 0,
        'q': 0,
        'theta': 0,
        'y_i': [-0.5e-3, 0.5e-3],
    }

    # Fit the surface shape
    z2d_res, z2d_fit, opt_params_dict, opt_params_ci_dict, _ = xmf.fit_concave_ellipsoid_height(x2d, y2d, z2d_measured, input_params_dict, opt_dict) 
    # Show fitting results
    xmf.fig_show_2d_fitting_map(x2d, y2d, z2d_measured, z2d_fit, z2d_res, target_params_dict, opt_params_dict, opt_params_ci_dict,'Concave Ellipsoid')


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

   **Total running time of the script:** (0 minutes 0.317 seconds)


.. _sphx_glr_download_auto_examples_example_06_fit_real_concave_ellipsoid_with_tol.py:

.. only:: html

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

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

      :download:`Download Jupyter notebook: example_06_fit_real_concave_ellipsoid_with_tol.ipynb <example_06_fit_real_concave_ellipsoid_with_tol.ipynb>`

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

      :download:`Download Python source code: example_06_fit_real_concave_ellipsoid_with_tol.py <example_06_fit_real_concave_ellipsoid_with_tol.py>`

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

      :download:`Download zipped: example_06_fit_real_concave_ellipsoid_with_tol.zip <example_06_fit_real_concave_ellipsoid_with_tol.zip>`


.. only:: html

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

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