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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

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

John Chiverton

Kevin Wells

Publisher:
Princeton University Press
DOI:10.23943/princeton/9780691147611.003.0018

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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