Abstract

A general equation is derived which gives the root-mean-square transmission (and hence the granularity) as an integral of the product of the autocorrelation and an “aperture weighting function.” A method using expansion into series is described which inverts this equation and gives the autocorrelation in terms of the root-mean-square transmission. Solutions in closed form have been obtained for two special cases of physical importance to which the series solutions are shown to be equivalent. In view of this interconvertibility, the choice of optical systems for making measurements which will correlate well with visual graininess is a matter of practical convenience in obtaining the relevant parameters.

© 1957 Optical Society of America

Relation between Granularity and Autocorrelation*

A. Marriage and E. Pitts
J. Opt. Soc. Am. 46(12) 1019-1027 (1956)

Relation between Graininess and Granularity for Black-and-White Samples with Nonuniform Granularity Spectra*

Keith F. Stultz and Hans J. Zweig
J. Opt. Soc. Am. 49(7) 693-702 (1959)

Autocorrelation and Granularity. Part II. Results on Flashed Black-and-White Emulsions*

Hans J. Zweig
J. Opt. Soc. Am. 46(10) 812-820 (1956)

Photographic Granularity and Graininess. IX. Techniques and Equipment for the Objective Measurement of Graininess*

L. A. Jones, G. C. Higgins, K. F. Stultz, and H. F. Hoesterey
J. Opt. Soc. Am. 47(4) 312-321 (1957)

Autocorrelation and Granularity. Part I. Theory*

Hans J. Zweig
J. Opt. Soc. Am. 46(10) 805-811 (1956)