uvisbox.Modules.UncertaintyTube.uncertainty_tubes_stats
=======================================================

.. py:module:: uvisbox.Modules.UncertaintyTube.uncertainty_tubes_stats




Module Contents
---------------

.. py:function:: expcos(x, e)

.. py:function:: expsin(x, e)

.. py:function:: project_points_to_plane(point0, point1, points)

   Projects points onto a plane perpendicular to the line segment from point0 to point1.

   :param point0: Define the line segment direction
   :type point0: np.ndarray
   :param point1: Define the line segment direction
   :type point1: np.ndarray
   :param points: Points to project (shape: (n_points, num_dims))
   :type points: np.ndarray

   :returns: Projected points on the orthogonal plane
   :rtype: np.ndarray


.. py:function:: compute_eigen_2d(points)

.. py:function:: uncertainty_tubes_summary_statistics(trajectories, n_jobs=1)

   Compute 3D uncertainty summary statistics along trajectory paths.

   :param trajectories: Ensemble trajectories with shape
                        (n_steps, n_starting_locations, n_samples, num_dims).
   :type trajectories: np.ndarray
   :param n_jobs: Number of parallel jobs to use. If n_jobs=1, uses sequential processing.
                  Defaults to 1.
   :type n_jobs: int, optional

   :returns:

                 - "mean_trajectory" (np.ndarray): The mean trajectory with shape
                   (n_steps, n_starting_locations, num_dims).
                 - "eigen_values" (np.ndarray): Eigenvalues for each cross-section with shape
                   (n_steps, n_starting_locations, 2).
                 - "eigen_vectors" (np.ndarray): Eigenvectors for each cross-section with shape
                   (n_steps, n_starting_locations, num_dims, 2).
   :rtype: dict