Abstract

Recent work by Jones and Higgins has led to an objective method for evaluating the granular structure of the developed photographic image by which materials of widely differing granularity can be ordered in correspondence with subjective graininess measurements. The present paper gives the theoretical calculations of statistical fluctuations of density and syzygetic density differences (SΔD) for simplified density patterns when scanned with varied-size apertures. Average syzygetic density values, 〈SΔD〉_Av, versus density curves are derived first for square, checkerboard density patterns and second for circular patterns containing uniform-size grains with random arrangement. By combining the experimental, threshold, visual, gradient sensitivity curve (〈SΔD〉_Avversus density for critical aperture), obtained by Jones and Higgins, with theoretical curves of 〈SΔD〉_Avversus density calculated here, it is shown how the graininess-density curve can be obtained.

© 1955 Optical Society of America

Photographic Granularity and Graininess*III. Some Characteristics of the Visual System of Importance in the Evaluation of Graininess and Granularity

Loyd A. Jones and George C. Higgins
J. Opt. Soc. Am. 37(4) 217-263 (1947)

Photographic Granularity and Graininess. VIII.* A Method of Measuring Granularity in Terms of the Scanning Area Giving a Threshold Luminance Gradient†

L. A. Jones, G. C. Higgins, and K. F. Stultz
J. Opt. Soc. Am. 45(2) 107-112 (1955)

Autocorrelation and Granularity. Part I. Theory*

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

Photographic Granularity and Graininess. VII. A Microphotometer for the Measurement of Granularity*

L. A. Jones and G. C. Higgins
J. Opt. Soc. Am. 41(3) 192-200 (1951)

Graininess and Entropy

Edward L. O’Neill
J. Opt. Soc. Am. 48(12) 945-947 (1958)