2010  Motion Parallax is Asymptotic to Binocular Disparity, click for article

Researchers such as (Rogers & Graham, 1982) have noticed “similarities between motion parallax and stereopsis” but have not previously shown the precise mathematical relation between them.  In this article we show that retinal motion from lateral translation is asymptotic to a multiple of binocular disparity for distractors in the horizontal plane.  This precise mathematical relationship is also “practical” in the sense that the approximation applies at relatively short distances.  It can be viewed as an extension to peripheral vision of Cormac & Fox’s well-known non-trig central vision approximation for binocular disparity.

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