Hello, I have an orientation P1 in a 3D space, represented as a quaternion [w x y z]. Then P1 is rotated using another quaternion (q1) with the formula
Is there any formula in order to get q1 from P2 and P1?
closed as too localized by Igor Rivin, Anton Petrunin, Qiaochu Yuan, Deane Yang, Will Jagy Apr 15 '11 at 17:38
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I am not sure what the OP means by "orinentation", but if the question is about the rotation of one (unit) vector into another, the axis of such a rotation is the cross product of the two vectors (assumed unit) and the angle is the arccos of the scalar product. You can then read off the quaternion. See: