I have two cameras, camera 1 which is also the origin coordinate system and camera 2. I also have a rigid Object which contains 88 points that the camera 1 detected.
I now have another coordinate system, let's call it coordinate system X which is somewhere located at the vector T. The vector T is the baseline which connects the optical center of camera 1 and camera 2, a.k.a the Translation of camera 2 relative to camera 1. The vector T and also the rotation of camera 2 relative to the origin coordinate system is given
The location of coordinate system is unknown. I also have the same object displayed in coordinate system x.
I now want to align the coordinate system X into the origin coordinate system such that the orientation of the object is displayed in both coordinate systems the same way. That means I want to determine the transformation matrix which consists of the rotation and translation align coordinate system x into origin coordinate system
How do I approach this task ?
In the following are a sketch of the camera orientation and the object displayed in the origin coordinate system and the coordinate system x.