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Benford's LawTheory and Applications$
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Steven J. Miller

Print publication date: 2015

Print ISBN-13: 9780691147611

Published to Princeton Scholarship Online: October 2017

DOI: 10.23943/princeton/9780691147611.001.0001

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PV Modeling of Medical Imaging Systems

PV Modeling of Medical Imaging Systems

(p.319) Chapter Eighteen PV Modeling of Medical Imaging Systems
Benford's Law

John Chiverton

Kevin Wells

Princeton University Press

This chapter applies a Bayesian formulation of the Partial Volume (PV) effect, based on the Benford distribution, to the statistical classification of nuclear medicine imaging data: specifically Positron Emission Tomography (PET) acquired as part of a PET-CT phantom imaging procedure. The Benford distribution is a discrete probability distribution of great interest for medical imaging, because it describes the probabilities of occurrence of single digits in many sources of data. The chapter thus describes the PET-CT imaging and post-processing process to derive a gold standard. Moreover, this chapter uses it as a ground truth for the assessment of a Benford classifier formulation. The use of this gold standard shows that the classification of both the simulated and real phantom imaging data is well described by the Benford distribution.

Keywords:   Benford distribution, Partial Volume effect, PV effect, medical imaging, Positron Emission Tomography, PET, PET-CT, Benford classifier formulation, gold standard

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