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Granularity

  • Avner Friedman
  • David S. Ross
Chapter
Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 3)

Abstract

Granularity is a measure of fluctuations in light transmittance through an aperture as it is scanned over an image. The quality of an image depends upon its granularity; everyone has seen graining photographs — graininess is particularly noticable in enlargements. The smaller the granularity the better the quality of the image. For images captured on photographic film the underlying image structure is that of a random medium whose properties fluctuate from point to point. In order to improve image quality one needs to analyze the transport, scattering, and absorption of light in such media; absorption depends on the first moment and scattering depends on the second moments of the transmitted light.

Keywords

Random Medium Hard Particle Improve Image Quality Joint Moment Poisson Point Process 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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References

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    A. Friedman, Mathematics in Industrial Problems, Part 5, IMA Volumes in Mathematics and its Applications, #49, Springer-Verlag, New York (1992).zbMATHCrossRefGoogle Scholar
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    J. E. Hamilton, W. H. Lawton, and E. A. Trabka, Some spatial and temporal point processes in photographic science, in Stochastic point Processes, P. A. W. Lewis, ed., Wiley, New York (1972), 817–867.Google Scholar
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    B. Lu and S. Torquato, Photographic granularity: mathematical formulation and effect of impenetrability of grains, J. Opt. Soc. Amer., A, 7 (1990), 717–724.CrossRefGoogle Scholar
  4. 4.
    S. Torquato, Microstructure and effective properties of random media, Lectures in Applied Mathematics, Vol. 27, Amer. Math. Soc., Providence, R.I., 1991, 322–358.Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2003

Authors and Affiliations

  • Avner Friedman
    • 1
  • David S. Ross
    • 2
  1. 1.Department of MathematicsOhio State UniversityColumbusUSA
  2. 2.Department of Mathematics and StatisticsRochester Institute of TechnologyRochesterUSA

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