什么是四元数旋转？ [英] What's a quaternion rotation?

问题描述

时的四元数旋转只是一个的X，Y，Z，对象将朝旋转向量，和一个辊，其转动该对象在其轴线？

Is quaternion rotation just a vector with X,Y,Z which the object will rotate towards, and a roll which turns the object on its axis?

是不是很简单？

这意味着如果你有X = 0，Z = 0，Y = 1，对象将朝上？
如果你有Y = 0，Z = 0和X = 1的对象将面向右？

Meaning if you have X=0, Z=0 and Y=1 the object will face upwards?
And if you have Y=0, Z=0 and X=1 the object will face to the right?

（假设X右，Y和Z向深度）

(assuming X right, Y up and Z depth)

推荐答案

一个四元数有4个组成部分，它可以与一个角THETA;和轴矢量的 N 。旋转会使物体绕轴的 N 由角THETA;

A quaternion has 4 components, which can be related to an angle θ and an axis vector n. The rotation will make the object rotate about the axis n by an angle θ.

例如，如果我们有一个像魔方

For example, if we have an cube like

 ______
|\  6  \
| \_____\     z
|5 |    | : y ^
 \ | 4  |    \|
  \|____|     +--> x

接着的90度的旋转;关于轴（x = 0，Y = 0，Z = 1）将旋转5脸从左侧到前面

Then a rotation of 90° about the axis (x=0, y=0, z=1) will rotate the "5" face from the left to the front.

 ______
|\  6  \
| \_____\      z
|3 |    | :  x ^
 \ | 5  |     \|
  \|____|  y<--+

（注：这是旋转轴/角度的描述，这就是OP迷对于如何四元数应用于旋转，看<一href="http://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation">http://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation)

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