Statistical approaches in quantitative positron emission tomography

Richard M. Leahy, Jinyi Qi

Research output: Contribution to journalArticle

158 Citations (Scopus)

Abstract

Positron emission tomography is a medical imaging modality for producing 3D images of the spatial distribution of biochemical tracers within the human body. The images are reconstructed from data formed through detection of radiation resulting from the emission of positrons from radioisotopes tagged onto the tracer of interest. These measurements are approximate line integrals from which the image can be reconstructed using analytical inversion formulae. However these direct methods do not allow accurate modeling either of the detector system or of the inherent statistical fluctuations in the data. Here we review recent progress in developing statistical approaches to image estimation that can overcome these limitations. We describe the various components of the physical model and review different formulations of the inverse problem. The wide range of numerical procedures for solving these problems are then reviewed. Finally, we describe recent work aimed at quantifying the quality of the resulting images, both in terms of classical measures of estimator bias and variance, and also using measures that are of more direct clinical relevance.

Original languageEnglish (US)
Pages (from-to)147-165
Number of pages19
JournalStatistics and Computing
Volume10
Issue number2
StatePublished - 2000
Externally publishedYes

Fingerprint

Positron Emission Tomography
Positron emission tomography
Radioactive tracers
Medical imaging
Positrons
Inverse problems
Radioisotopes
Spatial distribution
Detectors
Radiation
Inversion Formula
Medical Imaging
3D Image
Numerical Procedure
Curvilinear integral
Physical Model
Direct Method
Spatial Distribution
Modality
Inverse Problem

Keywords

  • Bayesian imaging
  • Computed tomography
  • Image reconstruction
  • Maximum likelihood estimation
  • Positron emission tomography

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Statistics and Probability
  • Theoretical Computer Science

Cite this

Statistical approaches in quantitative positron emission tomography. / Leahy, Richard M.; Qi, Jinyi.

In: Statistics and Computing, Vol. 10, No. 2, 2000, p. 147-165.

Research output: Contribution to journalArticle

Leahy, Richard M. ; Qi, Jinyi. / Statistical approaches in quantitative positron emission tomography. In: Statistics and Computing. 2000 ; Vol. 10, No. 2. pp. 147-165.
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