from_axes_angles

classmethod Quaternion.from_axes_angles(axes: ndarray | Vector3d | tuple | list, angles: ndarray | tuple | list | float, degrees: bool = False) → Quaternion

Create unit quaternions from axis-angle pairs \((\hat{\mathbf{n}}, \omega)\) [Rowenhorst et al., 2015].

Parameters:

axes

Axes of rotation \(\hat{\mathbf{n}}\).

angles

Angles of rotation \(\omega\) in radians (degrees=False) or degrees (degrees=True).

degrees

If True, the given angles are assumed to be in degrees. Default is False.

Returns:

Q

Unit quaternions.

See also

from_rodrigues, from_homochoric

Examples

>>> from orix.quaternion import Quaternion
>>> Q = Quaternion.from_axes_angles((0, 0, -1), 90, degrees=True)
>>> Q
Quaternion (1,)
[[ 0.7071  0.      0.     -0.7071]]

Examples using Quaternion.from_axes_angles

Crystal reference frame

Crystal reference frame

Misorientation from aligning directions

Misorientation from aligning directions

Orientation from aligning directions

Orientation from aligning directions

Visualizing paths between rotations and vectors

Visualizing paths between rotations and vectors

Combining rotations

Combining rotations