3d (THREE.js):差分矩阵 [英] 3d (THREE.js) : difference matrix

问题描述

我想保存代表两个 THREE.Object3d 之间相对差异的信息.我更喜欢将数据保存为转换矩阵.

I would like to save the info that represents the relative difference between two THREE.Object3d. I prefer to save the data as a transformation matrix.

有人知道我需要做什么才能得到这个吗?

Can someone knows what do i need to do to get this?

我想要一个 matrix4，稍后我可以将它应用到一个对象上，它会以相同的值移动/旋转.

I would like to have a matrix4 that later on i could apply on an object and it will move/rotate by the same values.

谢谢

推荐答案

所以您有两个转换 A 和 B，您正在寻找将 A 转换为 B 的转换 T，对吗?正式写成

So you have two transformations A and B you are looking for the transformation T that transforms A into B, right? Formally this is written as

B = T·A

现在你可以认为从 A 到 B，就像从 A 返回到身份 (I)，然后从身份到 B，即

Now you can think of going from A to B, as going back from A to identity (I) and then from identity to B i.e.

从 A 回到 I:

I = inv(A) · A

I = inv(A) · A

从I到B

B = B·I

把它串联起来

B = B·inv(A)·A

B = B · inv(A) · A

添加几个括号以突出显示内容:

Add a few parentheses to highlight things:

B = ( B · inv(A) ) · A

B = ( B · inv(A) ) · A

与第一个等式相比，我们看到

Comparing that with the first equation we see that

T = B·inv(A)

T = B · inv(A)

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