Expand this Topic clickable element to expand a topic
Skip to content
Optica Publishing Group

Concept of Distance in Affine Geometry and Its Applications in Theories of Vision

Not Accessible

Your library or personal account may give you access

Abstract

In Euclidean spaces of an arbitrary number n of dimensions metrics are defined which are invariant with respect to affine transformations of the coordinates. These metrics are closely related to non-Euclidean distances in spaces of negative constant curvature. Special cases are discussed. The logarithmic scale results for n=1. The case n=2 occurs in the solution of a colorimetric problem. The most important case n=3 is connected to the color space and to Luneburg’s geometry of the space of binocular vision.

© 1956 Optical Society of America

Full Article  |  PDF Article
More Like This
Experimental Test of Luneburg’s Theory. Horopter and Alley Experiments*

A. Zajaczkowska
J. Opt. Soc. Am. 46(7) 514-527 (1956)

Concept of Distance in Affine Geometry

P. J. van Heerden
J. Opt. Soc. Am. 46(11) 1000-1000 (1956)

On Projective Transformations of the CIE-Chromaticity Diagram

Günter Wyszecki
J. Opt. Soc. Am. 46(11) 982-986 (1956)

Cited By

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

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Equations (44)

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

Contact your librarian or system administrator
or
Login to access Optica Member Subscription

Select as filters


Select Topics Cancel
© Copyright 2024 | Optica Publishing Group. All Rights Reserved