## 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) |
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Pages (from-to) | 110-124 |

Number of pages | 15 |

Journal | Proceedings of SPIE - The International Society for Optical Engineering |

Volume | 3032 |

DOIs | |

State | Published - Dec 1 1997 |

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