Correlated point processes in radiological imaging

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

doi:10.1117/12.273975

2 May 1997 Correlated point processes in radiological imaging

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

Proceedings Volume 3032, Medical Imaging 1997: Physics of Medical Imaging; (1997) https://doi.org/10.1117/12.273975
Event: Medical Imaging 1997, 1997, Newport Beach, CA, United States

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.

Citation Download Citation

Harrison H. Barrett, Robert F. Wagner, and Kyle J. Myers "Correlated point processes in radiological imaging", Proc. SPIE 3032, Medical Imaging 1997: Physics of Medical Imaging, (2 May 1997); https://doi.org/10.1117/12.273975

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