### 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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Title of host publication | Proceedings of SPIE - The International Society for Optical Engineering |

Pages | 110-124 |

Number of pages | 15 |

Volume | 3032 |

DOIs | |

State | Published - 1997 |

Event | Medical Imaging 1997: Physics of Medical Imaging - Newport Beach, CA, United States Duration: Feb 23 1997 → Feb 23 1997 |

### Other

Other | Medical Imaging 1997: Physics of Medical Imaging |
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Country | United States |

City | Newport Beach, CA |

Period | 2/23/97 → 2/23/97 |

### Fingerprint

### 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

*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.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*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

}

TY - GEN

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

UR - http://www.scopus.com/inward/record.url?scp=34548496278&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34548496278&partnerID=8YFLogxK

U2 - 10.1117/12.273975

DO - 10.1117/12.273975

M3 - Conference contribution

VL - 3032

SP - 110

EP - 124

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

ER -