December 2007
Volume 7, Issue 15
Free
OSA Fall Vision Meeting Abstract  |   December 2007
Retinal Correspondence and the Theoretical Horopter
Author Affiliations
  • Kai Schreiber
    School of Optometry
Journal of Vision December 2007, Vol.7, 104. doi:10.1167/7.15.104
  • Views
  • Share
  • Tools
    • Alerts
      ×
      This feature is available to authenticated users only.
      Sign In or Create an Account ×
    • Get Citation

      Kai Schreiber; Retinal Correspondence and the Theoretical Horopter. Journal of Vision 2007;7(15):104. doi: 10.1167/7.15.104.

      Download citation file:


      © ARVO (1962-2015); The Authors (2016-present)

      ×
  • Supplements
Abstract

Disparity is usually considered a 2D vector representing deviation from retinal correspondence, and visualized as the theoretical horopter, the set of locations projecting onto correspondence pairs. Disparity is assumed to decompose naturally into two orthogonal components, horizontal and vertical disparity, processed in fundamentally different ways by the visual system. But when disparity is considered to be relative to a non-identical correspondence pattern, simple definitions break down. In general, scalar horizontal and vertical disparities and the disparity vector composed of them are not well defined entities. Retinally, a binocular target is represented by one 2D position vector per eye, or four dimensions total. If disparity is assumed to be the difference between these projection vectors and a retinal correspondence pattern, the resulting entity has eight degrees of freedom twice that of a retinal disparity vector. Only when empirical correspondence obeys certain constraints is disparity reducible to such a vector. But even then it can not be simply split into retinal horizontal and vertical components, as eye movements change epipolar projection geometry. Additionally, we demonstrate that the accepted model forms of the correspondence patterns of the Hering-Hillebrandt deviation and the Helmholtz shear are not compatible across a 2D retina.

Schreiber, K. (2007). Retinal Correspondence and the Theoretical Horopter [Abstract]. Journal of Vision, 7(15):104, 104a, http://journalofvision.org/7/15/104/, doi:10.1167/7.15.104. [CrossRef]
×
×

This PDF is available to Subscribers Only

Sign in or purchase a subscription to access this content. ×

You must be signed into an individual account to use this feature.

×