I have to write a python script to detect the pose of a plane with respect to my camera. Using a RANSAC algorithm I can obtain the plane center and plane weights (so the norm of the plane). Now my question is: how can I use this information to obtain the transformation matrix from the camera frame (as in the openCV camera model) to this plane (origin in plane center and Z axis aligned as the plane norm, rotation on Z is not relevant) ?
Transformation matrix from camera frame to a plane in 3D
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