intrinsic calibration doesn’t concern itself with coordinate frames. it’s all about the lens and “sensor” properties.
if you want to establish your camera’s coordinate frame relative to some other coordinate frame (or vice versa), that’s “extrinsic” calibration.
Thank you for the hint, I will keep that in mind for the future. You told me that i have to do the “extrinsic” calibration, ok I understand. But what is, if i have multiple cameras? It is possible to get the “extrinsic” parameters of the other cameras with respect to just on camera?
you get transformation matrices that map from the pattern’s frame into the camera frame. or you get rvec and tvec, which contains the same info, but in an inconvenient format, but you can calculate a 4x4 matrix from that.
you can invert those matrices. you can multiply them. that’s how you get matrices transforming from any frame into any other.
computer graphics deals with this. there is much written.