https://support.google.com/youtube/answer/2914130?hl=en tells me you could do this with a gaming PC. As to the Optics folk, ask how they do that.

As to the XBox, there is XBox, XBox 360 and a few models and the XBox One so to solve this with gaming consoles my bet is a video capture card for the PC would be required but which PC is this?
Bob