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3D pose from multiple cameras and known key points

Hi all, I have a question that I'm sure is simple, but being new to MV I just don't know the "magic words" that describe what I'm trying to do.

Lets' say I have a number of cameras in a room, and I have an object with IR LEDs of a known configuration. For the sake of argument, let's say the LEDs are bright enough that the cameras exposure can be low, so that they're effectively the only thing the cameras see. I can calibrate the cameras in any way needed.

What I'd like to be able to do to is get the position of the object in 3D space, for example in a way that I could feed into Unity to attach a 3D object to in a scene. This is similar to some commercial motion capture systems.

What would be the best place for me to get started with this? I feel like it's simpler than most projects I see here--but again, assume I know nothing :)