Correlated point processes in radiological imaging

Harrison H. Barrett; Robert F. Wagner; Kyle J. Myers

doi:10.1117/12.273975

Correlated point processes in radiological imaging

Harrison H. Barrett, Robert F. Wagner, Kyle J. Myers

Research output: Contribution to journal › Conference article › peer-review

29 Scopus citations

Abstract

A variety of problems in radiological imaging can be formulated in terms of point processes, which are random processes where every sample function is a sum of delta functions. Under certain postulates, especially one relating to statistical independence of the points,t he first- and second-order statistics of the process are well known. This paper treats correlated point processes where the postulates are not satisfied. The main kinds of correlation considered result from randomness in the radiation source and image amplification. Expressions are given for the mean, the autocorrelation and autocovariance functions and, in the stationary approximation, the power spectral density.

Original language	English (US)
Pages (from-to)	110-124
Number of pages	15
Journal	Proceedings of SPIE - The International Society for Optical Engineering
Volume	3032
DOIs	https://doi.org/10.1117/12.273975
State	Published - 1997
Externally published	Yes
Event	Medical Imaging 1997: Physics of Medical Imaging - Newport Beach, CA, United States Duration: Feb 23 1997 → Feb 23 1997

Keywords

Autocorrelation function
Image amplifiers
Point processes
Poisson statistics
Power spectral density

ASJC Scopus subject areas

Electronic, Optical and Magnetic Materials
Condensed Matter Physics
Computer Science Applications
Applied Mathematics
Electrical and Electronic Engineering

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10.1117/12.273975

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title = "Correlated point processes in radiological imaging",

abstract = "A variety of problems in radiological imaging can be formulated in terms of point processes, which are random processes where every sample function is a sum of delta functions. Under certain postulates, especially one relating to statistical independence of the points,t he first- and second-order statistics of the process are well known. This paper treats correlated point processes where the postulates are not satisfied. The main kinds of correlation considered result from randomness in the radiation source and image amplification. Expressions are given for the mean, the autocorrelation and autocovariance functions and, in the stationary approximation, the power spectral density.",

keywords = "Autocorrelation function, Image amplifiers, Point processes, Poisson statistics, Power spectral density",

author = "Barrett, {Harrison H.} and Wagner, {Robert F.} and Myers, {Kyle J.}",

year = "1997",

doi = "10.1117/12.273975",

language = "English (US)",

volume = "3032",

pages = "110--124",

journal = "Proceedings of SPIE - The International Society for Optical Engineering",

issn = "0277-786X",

publisher = "SPIE",

note = "Medical Imaging 1997: Physics of Medical Imaging ; Conference date: 23-02-1997 Through 23-02-1997",

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TY - JOUR

T1 - Correlated point processes in radiological imaging

AU - Barrett, Harrison H.

AU - Wagner, Robert F.

AU - Myers, Kyle J.

PY - 1997

Y1 - 1997

N2 - A variety of problems in radiological imaging can be formulated in terms of point processes, which are random processes where every sample function is a sum of delta functions. Under certain postulates, especially one relating to statistical independence of the points,t he first- and second-order statistics of the process are well known. This paper treats correlated point processes where the postulates are not satisfied. The main kinds of correlation considered result from randomness in the radiation source and image amplification. Expressions are given for the mean, the autocorrelation and autocovariance functions and, in the stationary approximation, the power spectral density.

AB - A variety of problems in radiological imaging can be formulated in terms of point processes, which are random processes where every sample function is a sum of delta functions. Under certain postulates, especially one relating to statistical independence of the points,t he first- and second-order statistics of the process are well known. This paper treats correlated point processes where the postulates are not satisfied. The main kinds of correlation considered result from randomness in the radiation source and image amplification. Expressions are given for the mean, the autocorrelation and autocovariance functions and, in the stationary approximation, the power spectral density.

KW - Autocorrelation function

KW - Image amplifiers

KW - Point processes

KW - Poisson statistics

KW - Power spectral density

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DO - 10.1117/12.273975

M3 - Conference article

AN - SCOPUS:34548496278

SN - 0277-786X

VL - 3032

SP - 110

EP - 124

JO - Proceedings of SPIE - The International Society for Optical Engineering

JF - Proceedings of SPIE - The International Society for Optical Engineering

T2 - Medical Imaging 1997: Physics of Medical Imaging

Y2 - 23 February 1997 through 23 February 1997

ER -

Correlated point processes in radiological imaging

Abstract

Keywords

ASJC Scopus subject areas

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