spherical

Spherical-harmonic and SO(3) machinery behind the spherical indexer.

Functions

euler_zyz_to_orix(alpha, beta, gamma)	Convert active ZYZ Euler angles to an orix.quaternion.Rotation.
forward_sht(values, theta, phi, bandwidth[, ...])	Stateless forward transform on a separable grid (dense design matrix).
gauss_legendre_grid(bandwidth[, device, dtype])	Build the exact quadrature grid for bandwidth L.
grid_to_rotation(bandwidth[, alpha_index, ...])	Map SOFT grid indices to orix Rotations.
inverse_sht(coeffs, theta, phi)	Stateless inverse transform: coefficients a_lm -> samples on a grid.
lm_indices(bandwidth[, device])	Degree and order of each packed coefficient slot.
n_coefficients(bandwidth)	Number of packed coefficients for a transform of the given bandwidth L.
n_orientations(bandwidth)	Number of SOFT grid points (2L + 2) ** 3 for bandwidth L.
so3_cross_correlation(master_coeffs, ...[, ...])	Cross-correlation of two harmonic spectra over all of SO(3), via SOFT.
so3_grid(bandwidth[, device, dtype])	The equiangular SOFT SO(3) sampling grid for bandwidth L.
spherical_harmonics(bandwidth, theta, phi)	Dense complex spherical-harmonic basis Y_lm on a grid.
wigner_D(bandwidth, alpha, beta, gamma)	Full complex Wigner-D matrices D^l_{m'm}(alpha, beta, gamma) for l <= L.
wigner_d(bandwidth, beta)	Small Wigner-d matrices d^l_{m'm}(beta) for all l <= bandwidth.
wigner_small_d(ell, beta)	Real small Wigner-d matrix d^l_{m'm}(beta) for a single degree ell.

Classes

SphericalHarmonicTransform(bandwidth, *[, ...])	A cached, separable spherical harmonic transform for a fixed bandwidth.
SphericalIndexer(master, detector[, ...])	Index EBSD patterns against a master pattern by spherical cross-correlation.