from_homochoric

classmethod Rotation.from_homochoric(ho: Vector3d | Homochoric | ndarray | tuple | list) → Quaternion

Create unit quaternions from homochoric vectors \(\mathbf{h}\) [Rowenhorst et al., 2015].

Parameters:

ho

Homochoric vectors parallel to the axes of rotation with lengths equal to \(\left[\frac{3}{4}\cdot(\omega - \sin\omega)\right]^{1/3}\), where \(\omega\) is the angle of rotation.

Returns:

Q

Unit quaternions.

See also

from_axes_angles, from_rodrigues