{
    "info": {
        "author": "Andrei Shkarin",
        "author_email": "andrei.shkarin@gmail.com",
        "bugtrack_url": null,
        "classifiers": [
            "Development Status :: 3 - Alpha",
            "Intended Audience :: Developers",
            "Intended Audience :: Science/Research",
            "License :: OSI Approved :: MIT License",
            "Topic :: Software Development :: Libraries :: Python Modules"
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        "description": "================\nPyEllipsoid\n================\n\n.. image:: https://travis-ci.org/ashkarin/pyellipsoid.svg?branch=master\n    :target: https://travis-ci.org/ashkarin/pyellipsoid\n\n\n**PyEllipsoid** is the package for drawing and analysis of ellipsoids in 3D volumetric images (3D arrays).\n\n\nInstallation\n------------\n\nThe easiest way to install the latest version is by using pip::\n\n    $ pip install pyellipsoid\n\nYou may also use Git to clone the repository and install it manually::\n\n    $ git clone https://github.com/ashkarin/pyellipsoid.git\n    $ cd pyellipsoid\n    $ python setup.py install\n\nHow to use\n------------\nTo draw an ellipsoid:\n\n.. code-block:: python\n\n  import numpy as np\n  from pyellipsoid import drawing\n\n  # Define an image shape, axis order is: Z, Y, X\n  image_shape = (128, 128, 128)\n\n  # Define an ellipsoid, axis order is: X, Y, Z\n  ell_center = (64, 64, 64)\n  ell_radii = (5, 50, 30)\n  ell_angles = np.deg2rad([80, 30, 20]) # Order of rotations is X, Y, Z\n\n  # Draw a 3D binary image containing the ellipsoid\n  image = drawing.make_ellipsoid_image(image_shape, ell_center, ell_radii, ell_angles)\n\n\nTo compute inertia ellipsoid for given ellipsoid image:\n\n.. code-block:: python\n\n  import numpy as np\n  from pyellipsoid import drawing, analysis\n\n  # Draw a 3D binary image containing an ellipsoid\n  image_shape = (128, 128, 128)\n  ell_center = (64, 64, 64)\n  ell_radii = (5, 50, 30)\n  ell_angles = np.deg2rad([80, 30, 20])\n  image = drawing.make_ellipsoid_image(image_shape, ell_center, ell_radii, ell_angles)\n\n  # Compute inertia ellipsoid\n  points = analysis.sample_random_points(image)\n  inertia_ellipsoid = analysis.compute_inertia_ellipsoid(points)\n\n\nTo rotate axes and find relative rotation between the original and rotated axes:\n\n.. code-block:: python\n\n  import numpy as np\n  from pyellipsoid import geometry\n\n  original_axes = np.array([[1, 0, 0], [0, 1, 0], [0, 0, 1]])\n  rot_angles = np.deg2rad([0, 0, 45]) # Rotate around Z-axis by 45 deg\n\n  # Build rotation matrix and rotate the axes\n  rotm = geometry.build_rotation_matrix(*rot_angles)\n  rotated_axes = np.dot(rotm, np.transpose(original_axes)).T\n\n  # Find relative rotation\n  rel_rotm = geometry.find_relative_axes_rotation(original_axes, rotated_axes)\n\n  # Validate relative rotation matrix\n  rel_rotated_axes = np.dot(rel_rotm, np.transpose(original_axes)).T\n  assert(np.all(rotated_axes == rel_rotated_axes))\n\n  # Compute rotation angles\n  # Please note, that these angles might differ from rot_angles!\n  rel_rot_angles = geometry.rotation_matrix_to_angles(rel_rotm)\n  print(np.rad2deg(rel_rot_angles))\n\n\n",
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        "keywords": "ellipsoid drawing rotation analysis",
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        "name": "pyellipsoid",
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