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Working with a camera with variable focal length

I'm using a camera for tracking and pose estimation.. I know that we need to calibrate the camera to estimate the pose then we're not supposed to change their parameters after that.. My question is if I use a camera which its focal length can be remotely changed, do I still need to re calibrate the camera every time I change its focal? Or there is another way to work with it like estimate the new parameters or something like that?

Working with a camera with variable focal length

I'm using a camera for tracking and pose estimation.. I know that we need to calibrate the camera to estimate the pose then we're not supposed to change their parameters after that.. My question is if I use a camera which its focal length can be remotely changed, do I still need to re calibrate the camera every time I change its focal? Or there is another way to work with it like estimate the new parameters or something like that?