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When I've got my glasses on, the "Forest" sequences look *wildly* 3D to me.

Without my glasses it looks less so but that might be a function of not really being able to focus on stuff closer than about ten metres ;-)

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I think what you're getting a demo of there is the bit of our depth perception apparatus that doesn't need stereo pairs to work. Out past a certain distance our brains reconstruct geometry from visual depth cues, and I suspect that the smoothed camera path means that, in contrast to the shaky original video, your eyes are seeing something your inner ears aren't contradicting too much.

Never thought of it that way, but you might very well be right. Something like "my ear isn't shaking, the camera isn't shaking, must be real" ;-)

I wonder if maybe their implementation "fills in the blanks" in the 3D space in the same way our brain does, so it looks "properly 3D" because it's what we're expecting it to look like already?

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