OSA's Digital Library

Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 54, Iss. 12 — Dec. 1, 1964
  • pp: 1485–1487

Relation Between Granularity and Density for a Random-Dot Model

B. E. BAYER  »View Author Affiliations


JOSA, Vol. 54, Issue 12, pp. 1485-1487 (1964)
http://dx.doi.org/10.1364/JOSA.54.001485


View Full Text Article

Acrobat PDF (648 KB)





Browse Journals / Lookup Meetings

Browse by Journal and Year


   


Lookup Conference Papers

Close Browse Journals / Lookup Meetings

Article Tools

Share
Citations

Abstract

A well-known, simple theory predicts that, for a given grain size, the granularity of a developed photographic image is proportional to the square root of the density. In this paper, it is shown that, in the case of a two-dimensional grain model consisting of randomly placed opaque disks (dots), this simple relation progressively underestimates granularity as density is increased. The disparity exists because, with the random-dot model, density is not solely proportional to the number of dots in the aperture, but may vary at random according to the amount of overlap among the dots. It is suggested that the effect of random overlap may be relatively small in a developed photographic image, which differs from a random-dot model in that the grains are distributed in depth.

Citation
B. E. BAYER, "Relation Between Granularity and Density for a Random-Dot Model," J. Opt. Soc. Am. 54, 1485-1487 (1964)
http://www.opticsinfobase.org/josa/abstract.cfm?URI=josa-54-12-1485

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