get_uv_sphere_mesh_vertices

diffsims.generators.sphere_mesh_generators.get_uv_sphere_mesh_vertices(resolution)

Return the vertices of a UV (spherical coordinate) mesh on a unit sphere [Cajaravelli2015]. The mesh vertices are defined by the parametrization:

\[ \begin{align}\begin{aligned}x = sin(u)cos(v)\\y = sin(u)sin(v)\\z = cos(u)\end{aligned}\end{align} \]

Parameters:

resolution (float) – An angle in degrees. The maximum angle between nearest neighbor grid points. In this mesh this occurs on the equator of the sphere. All elevation grid lines are separated by at most resolution. The step size of u and v are rounded up to get an integer number of elevation and azimuthal grid lines with equal spacing.

Returns:

points_in_cartesian – Rows are x, y, z where z is the 001 pole direction

Return type:

numpy.ndarray (N,3)