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Journal of the Optical Society of America

Journal of the Optical Society of America

  • Vol. 66, Iss. 11 — Nov. 1, 1976
  • pp: 1160–1163

Properties of speckle integrated with a finite aperture and logarithmically transformed

H. H. Arsenault and G. April  »View Author Affiliations

JOSA, Vol. 66, Issue 11, pp. 1160-1163 (1976)

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When image plane speckle intensity integrated over a finite aperture is submitted to a logarithmic transformation, the noise becomes additive and signal independent. The first- and second-order moments of the probability distribution are derived. It is found that the logarithm of speckle noise approaches a normal distribution much faster than speckle intensity. The properties of speckle noise are different from those of filmgrain noise; for example, neither Nutting’s law nor Selwyn’s law is satisfied by speckle.

© 1976 Optical Society of America

H. H. Arsenault and G. April, "Properties of speckle integrated with a finite aperture and logarithmically transformed," J. Opt. Soc. Am. 66, 1160-1163 (1976)

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  1. H. H. Arsenault and N. Brousseau, "Digital Image Processing and Preprocessing," J. Opt. Soc. Am. 65, 1203 (1975).
  2. J. F. Walkup and R. C. Choens, " Image processing in signal-dependent noise," Opt. Eng. 13, 258 (1974).
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  12. H. J. Gerritsen, W. J. Hannan, and E. G. Ramberg, "Elimination of speckle noise in holograms with redundancy," Appl. Opt. 7, 2301 (1968).
  13. F. C. Billingsley, Noise Considerations in Digital Image Processing Hardware, in Picture Processing and Digital Filtering, edited by T. S. Huang (Springer-Verlag, New York, 1975), p. 259.
  14. H. H. Arsenault and G. April, "Speckle removal by optical and digital processing," J. Opt. Soc. Am. 66, 177 (1976).

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