Correlated point processes in radiological imaging

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

Research output: Contribution to journalConference articlepeer-review

27 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 languageEnglish (US)
Pages (from-to)110-124
Number of pages15
JournalProceedings of SPIE - The International Society for Optical Engineering
Volume3032
DOIs
StatePublished - Dec 1 1997
EventMedical Imaging 1997: Physics of Medical Imaging - Newport Beach, CA, United States
Duration: Feb 23 1997Feb 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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