scipy.spatial.transform.Rotation.from_euler¶

classmethod
Rotation.
from_euler
(seq, angles, degrees=False)[source]¶ Initialize from Euler angles.
Rotations in 3 dimensions can be represented by a sequece of 3 rotations around a sequence of axes. In theory, any three axes spanning the 3D Euclidean space are enough. In practice the axes of rotation are chosen to be the basis vectors.
The three rotations can either be in a global frame of reference (extrinsic) or in a body centred frame of refernce (intrinsic), which is attached to, and moves with, the object under rotation [1].
Parameters:  seq : string
Specifies sequence of axes for rotations. Up to 3 characters belonging to the set {‘X’, ‘Y’, ‘Z’} for intrinsic rotations, or {‘x’, ‘y’, ‘z’} for extrinsic rotations. Extrinsic and intrinsic rotations cannot be mixed in one function call.
 angles : float or array_like, shape (N,) or (N, [1 or 2 or 3])
Euler angles specified in radians (degrees is False) or degrees (degrees is True). For a single character seq, angles can be:
 a single value
 array_like with shape (N,), where each angle[i] corresponds to a single rotation
 array_like with shape (N, 1), where each angle[i, 0] corresponds to a single rotation
For 2 and 3character wide seq, angles can be:
 array_like with shape (W,) where W is the width of seq, which corresponds to a single rotation with W axes
 array_like with shape (N, W) where each angle[i] corresponds to a sequence of Euler angles describing a single rotation
 degrees : boolean, optional
If True, then the given angles are assumed to be in degrees. Default is False.
Returns:  rotation :
Rotation
instance Object containing the rotation represented by the sequence of rotations around given axes with given angles.
References
[1] (1, 2) Euler angle definitions Examples
>>> from scipy.spatial.transform import Rotation as R
Initialize a single rotation along a single axis:
>>> r = R.from_euler('x', 90, degrees=True) >>> r.as_quat().shape (4,)
Initialize a single rotation with a given axis sequence:
>>> r = R.from_euler('zyx', [90, 45, 30], degrees=True) >>> r.as_quat().shape (4,)
Initialize a stack with a single rotation around a single axis:
>>> r = R.from_euler('x', [90], degrees=True) >>> r.as_quat().shape (1, 4)
Initialize a stack with a single rotation with an axis sequence:
>>> r = R.from_euler('zyx', [[90, 45, 30]], degrees=True) >>> r.as_quat().shape (1, 4)
Initialize multiple elementary rotations in one object:
>>> r = R.from_euler('x', [90, 45, 30], degrees=True) >>> r.as_quat().shape (3, 4)
Initialize multiple rotations in one object:
>>> r = R.from_euler('zyx', [[90, 45, 30], [35, 45, 90]], degrees=True) >>> r.as_quat().shape (2, 4)