Correlated point processes in radiological imaging

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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

27 Citations (Scopus)

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 languageEnglish (US)
Title of host publicationProceedings of SPIE - The International Society for Optical Engineering
Pages110-124
Number of pages15
Volume3032
DOIs
StatePublished - 1997
EventMedical Imaging 1997: Physics of Medical Imaging - Newport Beach, CA, United States
Duration: Feb 23 1997Feb 23 1997

Other

OtherMedical Imaging 1997: Physics of Medical Imaging
CountryUnited States
CityNewport Beach, CA
Period2/23/972/23/97

Fingerprint

Postulate
Point Process
axioms
Imaging
Autocovariance Function
Statistical Independence
Delta functions
Imaging techniques
random processes
Power Spectral Density
Delta Function
Power spectral density
delta function
Autocorrelation Function
Random process
radiation sources
Random processes
Order Statistics
Autocorrelation
Amplification

Keywords

  • Autocorrelation function
  • Image amplifiers
  • Point processes
  • Poisson statistics
  • Power spectral density

ASJC Scopus subject areas

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

Cite this

Barrett, H. H., Wagner, R. F., & Myers, K. J. (1997). Correlated point processes in radiological imaging. In Proceedings of SPIE - The International Society for Optical Engineering (Vol. 3032, pp. 110-124) https://doi.org/10.1117/12.273975

Correlated point processes in radiological imaging. / Barrett, Harrison H; Wagner, Robert F.; Myers, Kyle J.

Proceedings of SPIE - The International Society for Optical Engineering. Vol. 3032 1997. p. 110-124.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Barrett, HH, Wagner, RF & Myers, KJ 1997, Correlated point processes in radiological imaging. in Proceedings of SPIE - The International Society for Optical Engineering. vol. 3032, pp. 110-124, Medical Imaging 1997: Physics of Medical Imaging, Newport Beach, CA, United States, 2/23/97. https://doi.org/10.1117/12.273975
Barrett HH, Wagner RF, Myers KJ. Correlated point processes in radiological imaging. In Proceedings of SPIE - The International Society for Optical Engineering. Vol. 3032. 1997. p. 110-124 https://doi.org/10.1117/12.273975
Barrett, Harrison H ; Wagner, Robert F. ; Myers, Kyle J. / Correlated point processes in radiological imaging. Proceedings of SPIE - The International Society for Optical Engineering. Vol. 3032 1997. pp. 110-124
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