The bulletin of mathematical biophysics

, Volume 2, Issue 3, pp 135–140 | Cite as

A note on the horopter

  • Alston S. Householder


By assuming the fixity (but not the symmetry) of corresponding points on the two retinae, it is possible to derive the equation of any horopter when one is known. In particular when, as experiment shows, one horopter is linear, then all horopters must be conics. These have the form given by Ogle, but whereas Ogle leaves one parameter undetermined at each fixation, on our assumption the only arbitrary parameter is determined by the position of the linear horopter.


Retina Biophysics Volume Retinal Image Depth Perception Fusion Center 
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  1. Ogle, Kenneth N. 1938. “Die mathematische Analyse des Längshoropters,”Arch. f.d. ges. Physiol.,239, 748–66.CrossRefGoogle Scholar
  2. Roelofs, C. Otto. 1935. “Die optische Lokalisation.”Arch. Augenheilk,109, 395–415.Google Scholar
  3. Southall, James P. C. 1937.Introduction to physiological optics. New York: Oxford University Press.Google Scholar
  4. Verhoeff, F. H. 1925. “A theory of binocular perspective.”Am. J. Physiol. Optics,6, 416–48.Google Scholar

Copyright information

© Psychometric Corporation 1940

Authors and Affiliations

  • Alston S. Householder
    • 1
  1. 1.The University of ChicagoChicagoUSA

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