Frankly, I have no idea how it works; here's the quote:
Cheoptics360 uses four 3D projectors and the images projected are re-assembled and re-generated in a transparent prism-like pyramid chamber that displays these free-floating videos in mid-air.
Now you know as much as you did before. You might as well read a science fiction book. For example, in his cool 1928 novel Crashing Suns, Edmond Hamilton conceives of the telestereo:
Abruptly I was aroused from my musings by the sharp ringing of a bell at my elbow. "The telestereo," I said to Hal Kur. "Take the controls." As he did so I stepped over to the telestereo's glass disk, inset in the room's floor, and touched a switch beside it. Instantly there appeared standing upon the disk, the image of a man in the blue and white robe of the Supreme Council, a lifesize and moving and stereoscopically perfect image, flashed across the void of space to my apparatus by means of etheric vibrations...
(Read more about Edmund Hamilton's telestereo)
I don't have any transmissions from the Supreme Council, but I do have this video (2-D only, sorry) in which the inventor explains things.