Applications of a nonnegatively constrained iterative method with statistically based stopping rules to CT, PET, and SPECT imaging

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Abstract

In this paper, we extend a nonnegatively constrained iterative method and three stopping rules for its iteration to the medical imaging inverse problems of computed tomography (CT), positron emission tomography (PET), and single photon emission computed tomography (SPECT); the iterative method and stopping rules were introduced for the use in astronomical imaging. The paper begins with a brief introduction to the CT, PET, and SPECT mathematical and statistical models.

Original languageEnglish
Pages (from-to)34-43
Number of pages10
JournalElectronic Transactions on Numerical Analysis
Volume38
StatePublished - 2011

Keywords

  • Inverse problems
  • Medical imaging
  • Nonnegatively constrained iterative methods
  • Statistical methods

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