The following is a preprint version of:

Evidence for surface-based processing of binocular disparity
Glennerster, A., McKee, S.P. and Birch, M.D., Current Biology, 12, 825-828 (2002)

preprint.pdf  
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Abstract
It is convenient to think of an object's location as a point within a Cartesian framework; the x-axis corresponds to right and left, the y-axis to up and down, and the z-axis to forward or backward. When an observer is looking straight ahead, binocular disparities provide information about distance along the z-axis from the fixation plane (Koenderink, 1992; Howard and Rogers, 1995). In this coordinate system, changes in disparity are treated as independent of changes in location along the orthogonal x- and y-axes. Does the human visual system use this three-dimensional coordinate system, or does it specify feature location in a coordinate frame determined by other nearby visible features? Here we show that the sensitivity of the human stereo system is determined by the distance of points with respect to a local reference plane, rather than by the distance along the z-axis with respect to the fixation plane. There is a distinct advantage to using a local frame of reference for specifying location. It obviates the need to construct a complex three-dimensional space in either eye-centered or head-centered coordinates that must be updated with every shift of the eyes and head.

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