Center Stage is a feature where a device uses an ultra-wide camera, and then is supposed to track your _face_ as you move and shift around it it's field of view.
I find it most useful for FaceTime calls on Apple TV, where you can leave your phone near the TV, and it will automatically frame you sitting on the couch and will follow you as you shift around, etc.
There is a similar feature to what you're describing for FaceTime, but I don't think it has any cutesy name.