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Real World Coordinate of Rotary table in Stereo Calibration

I have implemented stereo camera calibration and I can get the extrinsic and intrinsic camera parameter. For calibration I have captured the calibration board with 6-DOF. But now calibration board is mounted on the rotary table and I need to calculate the position (XZ) of rotary table respect to the origin point which is camera 0.

image description

My idea to get the XZ position of rotary table is:

1- capturing some calibration board images by rotating the table 2- calculating the normal vector of calibration board 3- finding the cross sections of those normal vectors (at least two)

My question is how can I calculate the normal vector of calibration board? or maybe someone has better solution to get the world coordinate of the rotary table.

I googled it but couldn't find something relevant.