A traditional analog hologram of a real plane, like a table, would simply recreate the image of that object exactly. It would have parallax just like the real t

A traditional analog hologram of a real plane, like a table, would simply recreate the image of that object exactly. It would have parallax just like the real thing. To engineer a hologram that makes some attempt at "following" you, you would either need an extremely elaborate multi-exposure analog setup with rails and shutters and god knows what, or a digital holographic printer, which is another (fascinating) kind of beast entirely. In the latter case you generate what you want the hologram to look like from every possible angle, which is your case is simply the same image with perspective (un)distortion.