3D motion tracking a ball with ultrasound triangulation

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Lagomorph
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Hi,
I need to make a 3d linear motion detection system for, oh... say a ball. I was thinking of setting up 3 small base stations that would ping something inside the ball and would be wired to a microcontroller that would use a triangulation algorithm to figure out the displacement of the ball along the 3 axes.

I know that this isn't a new problem and that the devices to do this should exist.

- Does anyone out there know what devices I should be looking for to construct this thing?
- Does anyone know if there is already an existing triangulation algorithm for such a task?
- Any other comments / suggestions?

I'll take any help I can get. I have incredibly stringent deadlines. Thanks ahead of time for the help.
 
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