The simple thing to do is to position the person’s picture as close as possible to your camera (and move the camera lens as close as possible into the picture) so that when you look at them, you’re almost looking into the camera.
I have a hard time believing that the video card can make it look like you’re looking into the camera when you’re not without it getting super creepy (especially if you’re apparently staring into the camera the whole time). Looking at the linked video (which is an idealized video), there are some subtle errors that won’t be obvious at first but will gnaw at people watching for a whole visit.