什么是四元数旋转？
四元数旋转只是一个带有 X、Y、Z 的向量（物体将朝着该方向旋转），以及使物体绕其轴旋转的滚动吗？
真有这么简单吗？
这意味着如果 X=0、Z=0 且 Y=1，则对象将面朝上？
如果 Y=0、Z=0 和 X=1，物体会面向右侧吗？
（假设 X 向右，Y 向上，Z 深度）
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?
Is it that simple?
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?
(assuming X right, Y up and Z depth)
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四元数有 4 个分量，它们可以与角度 θ 和轴向量 n 相关。旋转将使物体绕轴n旋转角度θ。
例如，如果我们有一个像这样的立方体
，那么绕轴 (x=0, y=0, z=1) 旋转 90° 会将“5”面从左侧旋转到前面。
（注：这是旋转的轴/角度描述，这就是OP混淆的地方。四元数如何应用于旋转，请参见http://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation）
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.
For example, if we have an cube like
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.
(Note: This is the axis/angle description of rotation, which is what OP confuses. For how quaternion is applied to rotation, see http://en.wikipedia.org/wiki/Quaternions_and_spatial_rotation)
一般来说，四元数是将复数扩展到 4 个维度。所以不，它们不仅仅是 x、y、z 和一个角度，而且它们很接近。更多内容如下...
四元数可用于表示旋转，因此它们对于图形很有用：
那么这 4 个组件是什么以及它们与旋转有何关系？
那么回到你的问题，
不...对象将围绕此
<0,1,0>向量旋转，即它将围绕 y 轴旋转，从上面看逆时针旋转，如果您的图形系统使用右-手旋转。 （如果我们代入 w = sqrt(1 - (0 + 1 + 0))，你的单位四元数是 (0,0,1,0)，它将旋转角度 2 cos-10, = 2 * 90 度 = 180 度或 pi 弧度。）这将围绕向量
<1,0,0>（x 轴）旋转，因此从正 x 方向（例如向右）看，它将逆时针旋转。因此顶部会向前转动（180 度，因此它会旋转直到面朝下）。A quaternion in general is an extension of a complex number into 4 dimensions. So no, they are not just x, y, and z, and an angle, but they're close. More below...
Quaternions can be used to represent rotation, so they're useful for graphics:
So what are the 4 components and how do they relate to the rotation?
So back to your question,
No... the object will rotate around this
<0,1,0>vector, i.e. it will rotate around the y axis, turning counterclockwise as seen from above, if your graphics system uses right-hand rotation. (And if we plug in w = sqrt(1 - (0 + 1 + 0)), your unit quaternion is (0,0,1,0), and it will rotate by angle 2 cos-10, = 2 * 90 degrees = 180 degrees or pi radians.)This will rotate around the vector
<1,0,0>, the x axis, so it will rotate counterclockwise as seen from the positive x direction (e.g. right). So the top would turn forward (180 degrees, so it would rotate until it faced downward).