Compton camera imaging and the cone transform: A brief overview

Fatma Terzioglu, Peter Kuchment, Leonid Kunyansky

Research output: Contribution to journalArticle

11 Scopus citations

Abstract

While most of Radon transform applications to imaging involve integrations over smooth sub-manifolds of the ambient space, lately important situations have appeared where the integration surfaces are conical. Three of such applications are single scatter optical tomography, Compton camera medical imaging, and homeland security. In spite of the similar surfaces of integration, the data and the inverse problems associated with these modalities differ significantly. In this article, we present a brief overview of the mathematics arising in Compton camera imaging. In particular, the emphasis is made on the overdetermined data and flexible geometry of the detectors. For the detailed results, as well as other approaches (e.g. smaller-dimensional data or restricted geometry of detectors) the reader is directed to the relevant publications. Only a brief description and some references are provided for the single scatter optical tomography.

Original languageEnglish (US)
Article number054002
JournalInverse Problems
Volume34
Issue number5
DOIs
Publication statusPublished - Apr 3 2018

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Keywords

  • Compton camera imaging
  • cone transform
  • radon transform

ASJC Scopus subject areas

  • Theoretical Computer Science
  • Signal Processing
  • Mathematical Physics
  • Computer Science Applications
  • Applied Mathematics

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