Question Change from Coordinate System A to B

Hey guys, I'd really appreciate some help on this one.

Given 2 coordinate systems A and B where
1) xA is an initial Vector3 position, rA is an initial Quaternion rotation
2) xB is an initial Vector3 position, rB is an initial Quaternion rotation

How can I then transform a random (position, rotation) from A into B?

 

Can you not just... set them to B's values?

 

Hello! What exactly do you mean? Let me describe what I want by only incorporating position.



So, from here, to go from coordinate system A to B, you simply have to:

moveB = xB + (moveA - xA) (well, given these axis the equation might not be 100% correct, but you get what I'm saying)

That though doesn't incorporate any rotational differences and I'm kind stuck on how to do this correctly using quaternions as well.

 

Is this a math question, or a scripting one? If it's a scripting one, you can just do A.transform.position = B.transform.position.

 

It isn't a scripting question. It's a 3d / game math question. Should I post it in general support?

 

No, although I would find it difficult to find anyone who really knows much about Quaternions.

I still don't quite understand what you're trying to get though, your original question sounded like you wanted to find X, where X = xA - xB to find the Vector to translate from one to the other, but in the example you showed it was something completely different.

For Quaternions, it would be as simple as R * rA = rB to get the Quaternion to rotate into it, it would just be rA multiplied by the inverse of rB, or flipping the X, Y, and Z values. If you had a Quaternion of (1, 2, 3, 4), the inverse would be (1, -2, -3, -4). This is just from Googling how to do that though, it could be wrong.