Reconstruction of a three-dimensional point from several two-dimensional points?

OpenCV contains a lot of support for 3D reconstruction from stereo cameras. In my case, I have six calibrated cameras (internal and external), and I would like to take common 2D points (say, the test sphere) and get the corresponding three-dimensional position. Any thoughts on how to do this?

What I have:
1) Calibration parameters for several cameras
2) 2D position of the test sphere (in each image plane)

What I want to get:
1) The corresponding three-dimensional point of the test sphere

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