Abstract

In this paper I address some theoretical issues concerning the additivity laws of Grassmann as they might apply to color matches in mesopic vision (in which light intensities are such that both rods and cones are active). It is first shown that rods and cones have linearly independent spectral responses, and hence rod and cone spectral responses span a four-dimensional matching space. Next, the iterative tetrachromatic-matching experiment of Trezona [ Vision Res. 13, 9 ( 1973)] is examined for consistency with a four-dimensional Grassmann structure; convergence conditions for the technique are derived and shown to be consistent with the actual conditions of the experiment. Finally, a discussion is presented of the conditions under which mesopic color matching would require only three primaries, even when color matching obeys four-dimensional (but not three-dimensional) Grassmann laws. A two-dimensional rod–cone diagram gives significant but not complete insight into the conditions for trichromacy in a four-dimensional color-matching space.

© 1990 Optical Society of America

Full Article  |  PDF Article
More Like This
Short-wavelength-sensitive cones do not contribute to mesopic luminosity

Wayne Verdon and Anthony J. Adams
J. Opt. Soc. Am. A 4(1) 91-95 (1987)

System of mesopic photometry for evaluating lights in terms of comparative brightness relationships

Ken Sagawa and Keishiro Takeichi
J. Opt. Soc. Am. A 9(8) 1240-1246 (1992)

Effective contrast of colored stimuli in the mesopic range: a metric for perceived contrast based on achromatic luminance contrast

Helen C. Walkey, John L. Barbur, J. Alister Harlow, Antony Hurden, Ian R. Moorhead, and Julie A. F. Taylor
J. Opt. Soc. Am. A 22(1) 17-28 (2005)

References

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 Optica member, or as an authorized user of your institution.

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

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

Figures (3)

You do not have subscription access to this journal. Figure files 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 (5)

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

Metrics

You do not have subscription access to this journal. Article level metrics 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