High-pass filters give histograms with positive kurtosis
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
[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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