How could any of those technologies be what is used here?
E: Looking again, perhaps it could be some layer over a traditional screen. You see through some of the broadcasts but that could just be the digital far plane that shows through.
This implies, AFAIK, that it either uses lenticular lenses (which is the tech 3D-cards typically use), or a parallax barrier (screen tech from 3DS). There are a thus sectors from the screen to the viewer, and you need to have your head placed so that your one eye sees one sector, and the other eye sees another. What the reporter describes is when both her eyes end up in the same sector, which immediately makes the result 2D. Note that there might be more than two sectors, so that you can move further sideways and get a realistic view, but each eye must all the time be in a different sector. It can also use head tracking to achieve such correction of your view wrt. movement of your head, since it evidently constructs a full 3D scene of you and the other side, it can render that from any angle.
Track both eyes, and then project an image to each eye based on its image in the room. The part I don't really understand is how it's possible to target the image to each eye. Maybe we have displays now which are like the 3DS screen, but with variable focal locations?
See: https://storage.googleapis.com/gweb-uniblog-publish-prod/ori...
Notice how the angle of her face changes as the camera moves: first you only see her left ear, at the end of the animation you only see her right ear.