High-pass filters give histograms with positive kurtosis

Eric Clarkson; Harrison H. Barrett

doi:10.1364/OL.26.001253

High-pass filters give histograms with positive kurtosis

Eric Clarkson, Harrison H. Barrett

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

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.

Original language	English (US)
Pages (from-to)	1253-1255
Number of pages	3
Journal	Optics letters
Volume	26
Issue number	16
DOIs	https://doi.org/10.1364/OL.26.001253
State	Published - Aug 15 2001
Externally published	Yes

ASJC Scopus subject areas

Atomic and Molecular Physics, and Optics

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10.1364/OL.26.001253

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title = "High-pass filters give histograms with positive kurtosis",

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.",

author = "Eric Clarkson and Barrett, {Harrison H.}",

year = "2001",

month = aug,

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doi = "10.1364/OL.26.001253",

language = "English (US)",

volume = "26",

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journal = "Optics Letters",

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publisher = "The Optical Society",

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AU - Clarkson, Eric

AU - Barrett, Harrison H.

PY - 2001/8/15

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AB - 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.

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JO - Optics Letters

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High-pass filters give histograms with positive kurtosis

Abstract

ASJC Scopus subject areas

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