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## Homework Statement

I have a bit of a general question, and I don't know whether or not the problem has a solution, but here's the idea behind it. I have two coordinate systems, let's call them CS A, and CS B. I have an infinite set of corresponding points for each system (both are 3D, so I have X, Y and Z data for each coordinate). So if I know a coordinate in CS A, I can find out the coordinate in CS B. The thing is, I don't know the actual transform that turns one system to the other (so I can use a 'function' but I don't know its definition). Given that I have an infinite set of points, is it possible to find the function definition? How would I go about doing it? (It is not a straight forward transform that is readily apparent, not just a translation... I'm sure there is rotation, might be flipping, etc).

Thanks!

Preet