如何将四元数转换为角度? [英] How to convert quaternion to angle?

问题描述

是否存在将四元数转换为角度的公式?

Is there a formula to convert a quaternion to an angle?

希望使用Core Motion API和陀螺仪在iPhone上执行某些操作，以便基于我从中接收到的数据(以四元数的形式)可以在屏幕上投影UIView.

Looking to do something on the iPhone using the Core Motion API and the gyro so that based on data I receive from it (in the form of quaternions) I can project a UIView on the screen.

谢谢

推荐答案

是的，请参见四元数和空间旋转.四元数单位(w，x，y，z)表示绕轴(x，y，z)旋转2 * cos ^-1 (w)的角度.

Yes, see Quaternions and spatial rotation. The unit quaternion (w, x, y, z) represents a rotation about the axis (x, y, z) of an angle of 2*cos^-1(w).

请注意，这仅适用于 unit 四元数.非单位四元数不代表旋转.

Note that this is only true of unit quaternions. Non-unit quaternions do not represent rotations.

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