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misorientation vector between two orientations

The misorientation vector can also be seen as the projection of an orientarion onto the tangential space of the orientation space centered at the orientation ori_ref. The inverse mapping from the tantential space onto the orientation space is the exponential map exp.


m = log(mori) % the misorientation vector in crystal coordinats
% the misorientation vector in crystal coordinats
m = log(ori,ori_ref)
% the misorientation vector in specimen coordinats
v = log(ori,ori_ref, SO3TangentSpace.leftVector)
v = ori_ref .* m


mori misorientation
ori orientation
ori_ref orientation


m Miller
v vector3d

See also

orientation.logm vector3d.exp Miller.exp