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Latitude and longitude vertical disparities

By Jenny C. A. Read, Graeme P. Phillipson and Andrew Glennerster

Abstract

The literature on vertical disparity is complicated by the fact that several different definitions of the term “vertical disparity” are in common use, often without a clear statement about which is intended or a widespread appreciation of the properties of the different definitions. Here, we examine two definitions of retinal vertical disparity: elevation-latitude and elevation-longitude disparities. Near the fixation point, these definitions become equivalent, but in general, they have quite different dependences on object distance and binocular eye posture, which have not previously been spelt out. We present analytical approximations for each type of vertical disparity, valid for more general conditions than previous derivations in the literature: we do not restrict ourselves to objects near the fixation point or near the plane of regard, and we allow for non-zero torsion, cyclovergence, and vertical misalignments of the eyes. We use these expressions to derive estimates of the latitude and longitude vertical disparities expected at each point in the visual field, averaged over all natural viewing. Finally, we present analytical expressions showing how binocular eye position—gaze direction, convergence, torsion, cyclovergence, and vertical misalignment—can be derived from the vertical disparity field and its derivatives at the fovea

Topics: 571
Publisher: Association for Research in Vision and Ophthalmology (ARVO)
Year: 2009
OAI identifier: oai:centaur.reading.ac.uk:2056

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  1. (2007). A statistical model of binocular disparity.
  2. (1999). An orientation anisotropy in the effects of scaling vertical disparities.
  3. (1981). Disparity statistics in natural scenes.
  4. (2006). Does visual perception require vertical disparity detectors?
  5. (1992). Gaze angle explanations of the induced effect.
  6. (1999). Horizontal and vertical disparity, eye position, and stereoscopic slant perception.
  7. (2003). Measuring V1 receptive fields despite eye movements in awake monkeys.
  8. (1998). Neurons in parafoveal areas V1 and V2 encode vertical and horizontal disparities.
  9. (1996). Pooling of vertical disparities by the human visual system.
  10. (1996). Relative size disparities and the perception of surface slant.
  11. (1992). Rotation of Listing’s plane during vergence.
  12. (2002). Seeing in depth, volume 1: Basic mechanisms.
  13. (2003). Sensitivity to horizontal and vertical disparity and orientation preference in areas V1 and V2 of the monkey.
  14. (1952). Space perception and vertical disparity.
  15. (2009). Stereo vision requires an explicit encoding of vertical disparity. doi
  16. (1995). Stereopsis, vertical disparity and relief transformations.
  17. (1997). The dynamics of vertical vergence.
  18. (1983). The induced effect, vertical disparity, and stereoscopic theory.
  19. (2001). The motor side of depth vision.
  20. (1967). The neural mechanisms of binocular depth discrimination.
  21. (2009). The role of the vertical dimension in stereoscopic vision.
  22. (1997). Three-dimensional model of the human eye-head saccadic system.
  23. (1925). Treatise on physiological optics.
  24. (1984). Vertical disparity pooling and the induced effect. doi
  25. (1998). Visual test of Listing’s law during vergence. doi

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