Some New Applications of Multivariate Moment-Generating Functions to Screen-Film Systems

Majid Rabbani; Richard Van Metter

doi:10.1117/12.953194

1 May 1989 Some New Applications of Multivariate Moment-Generating Functions to Screen-Film Systems

Majid Rabbani, Richard Van Metter

Proceedings Volume 1090, Medical Imaging III: Image Formation; (1989) https://doi.org/10.1117/12.953194
Event: Medical Imaging III, 1989, Newport Beach, CA, United States

Abstract

Multivariate moment-generating functions provide a useful method for analyzing the influence of stochastic amplifying and scattering mechanisms on the transfer of signal and noise through multistage imaging systems. In this paper we apply this method to several cases of amplifying and scattering mechanisms in which the parameters are themselves stochastic variables. These include input-labeled amplification, input-labeled scattering, position-labeled amplification, and position-labeled scattering. Our results are general in that they are applicable to a variety of imaging chain models and can be used to analyze stationary as well as nonstationary processes. In the special case of stationary processes, relationships between the input and output NPS can be derived. For the case of photon-limited inputs, one can also readily express the DQE. For each case, an example illustrating the physics of radiographic intensifying screens is given. Previously published theoretical results are shown to follow as special cases of these new and more general results.

Citation Download Citation

Majid Rabbani and Richard Van Metter "Some New Applications of Multivariate Moment-Generating Functions to Screen-Film Systems", Proc. SPIE 1090, Medical Imaging III: Image Formation, (1 May 1989); https://doi.org/10.1117/12.953194

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