euler2mat¶

Import in python using from mcutils.utils.spherical import euler2mat

mcutils.utils.spherical.euler2mat(phi, theta, psi)[source]¶

Computes a rotation matrix based on the Euler angles

The z-axis is mapped to: euler2mat(phi, theta, _).dot([0, 0, 1] = (cos(phi) * sin(theta), sin(phi) * sin(theta), cos(theta)) psi determines the x- and y-axes orientations in the plane perpendicular to this

Bingham matrix is assumed to initially point in the z-direction

Parameters

phi – orientation of the z-axis projection on the x-y plane
theta – polar angle (0 for keeping the z-axis in the z-direction, pi/2 for projecting the z-axis onto the x-y plane)
psi – rotation of the major dispersion axis around the main fibre orientation

Returns

(…, 3, 3) array with rotation matrix