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  • Vol. 26, Iss. 16 — Aug. 15, 2001
  • pp: 1253–1255

High-pass filters give histograms with positive kurtosis

Eric Clarkson and Harrison H. Barrett  »View Author Affiliations


Optics Letters, Vol. 26, Issue 16, pp. 1253-1255 (2001)
http://dx.doi.org/10.1364/OL.26.001253


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Abstract

If we filter an ensemble of natural images with a high-pass filter, the output is a random variable. The probability density for this variable will, under fairly general assumptions, be a Gaussian scale mixture. The kurtosis for this type of distribution is always positive.

© 2001 Optical Society of America

OCIS Codes
(030.6600) Coherence and statistical optics : Statistical optics
(100.2000) Image processing : Digital image processing
(100.2960) Image processing : Image analysis

Citation
Eric Clarkson and Harrison H. Barrett, "High-pass filters give histograms with positive kurtosis," Opt. Lett. 26, 1253-1255 (2001)
http://www.opticsinfobase.org/ol/abstract.cfm?URI=ol-26-16-1253


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