While using unit quaternions to represent rotations, does a quaternion (and its inverse) represent uniquely a certain rotation? Do quaternions suffer from aliasing problems like euler angles? (E.g. 0 degrees = 360*k degrees)
I know the same rotation can be achieved from a unit quaternion and its inverse (same as the conjugate in this case), but I was wondering whether other unit quaterions that can represent the same rotation exist.