OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 37, Iss. 12 — Dec. 1, 1947
  • pp: 944–956

A Certain Class of Binocularly Equivalent Configurations

ANNA STEIN  »View Author Affiliations


JOSA, Vol. 37, Issue 12, pp. 944-956 (1947)
http://dx.doi.org/10.1364/JOSA.37.000944


View Full Text Article

Acrobat PDF (2197 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

Originating in a mathematical study of a series of binocular visual phenomena experienced in certain demonstrations developed by The Hanover Institute (formerly Dartmouth Eye Institute), the following analysis shows that even binocular vision does not provide absolute localization of objects. On the contrary, a series of vertical targets may furnish binocularly the same angular clues, if their location, their inclination, and their shape are suitably chosen. Although the straight lines where the possible equivalent vertical targets intersect the horizontal plane represent only a special, so to speak degenerated subset of the whole set of equivalent conic sections, their mathematical analysis reveals that two theorems of projective geometry dealing with projective properties of conic sections find an interesting application in the field of binocular vision. In the introduction, two actual experiments are described. The geometrical construction and the computations on which these experiments are based are discussed in the last section where two additional theoretically possible experiments are suggested.

Citation
ANNA STEIN, "A Certain Class of Binocularly Equivalent Configurations," J. Opt. Soc. Am. 37, 944-956 (1947)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-37-12-944

You do not have subscription access to this journal. Citation lists with outbound citation links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

You do not have subscription access to this journal. Cited by links are available to subscribers only. You may subscribe either as an OSA member, or as an authorized user of your institution.

Contact your librarian or system administrator
or
Log in to access OSA Member Subscription

« Previous Article  |  Next Article »

OSA is a member of CrossRef.

CrossCheck Deposited