Continuous time dynamic PET imaging using list mode data

Thomas E. Nichols, Jinyi Qi, Richard M. Leahy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

21 Citations (Scopus)

Abstract

We describe a method for computing a continuous time estimate of dynamic changes in tracer density using list mode PET data. The tracer density in each voxel is modeled as an inhomogeneous Poisson process whose rate function can be represented using a cubic B-spline basis. An estimate of these rate functions is obtained by maximizing the likelihood of the arrival times of each detected photon pair over the control vertices of the spline. By resorting the list mode data into a standard sinogram plus a “timogram” that retains the arrival times of each of the events, we are able to perform efficient computation that exploits the symmetry inherent in the ordered sinogram. The maximum likelihood estimator uses quadratic temporal and spatial smoothness penalties and an additional penalty term to enforce non-negativity. Corrections for scatter and randoms are described and the results of studies using simulated and human data are included.

Original languageEnglish (US)
Title of host publicationLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
PublisherSpringer Verlag
Pages98-111
Number of pages14
Volume1613
ISBN (Print)3540661670, 9783540661672
StatePublished - 1999
Externally publishedYes
Event16th International conference on Information Processing in Medical Imaging, IPMI 1999 - Visegrad, Hungary
Duration: Jun 28 1999Jul 2 1999

Publication series

NameLecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)
Volume1613
ISSN (Print)03029743
ISSN (Electronic)16113349

Other

Other16th International conference on Information Processing in Medical Imaging, IPMI 1999
CountryHungary
CityVisegrad
Period6/28/997/2/99

Fingerprint

Splines
Continuous Time
Time of Arrival
Rate Function
Imaging
Imaging techniques
Penalty
Inhomogeneous Poisson Process
Maximum likelihood
Cubic B-spline
Photons
Nonnegativity
Voxel
Scatter
Maximum Likelihood Estimator
Estimate
Spline
Smoothness
Likelihood
Photon

ASJC Scopus subject areas

  • Computer Science(all)
  • Theoretical Computer Science

Cite this

Nichols, T. E., Qi, J., & Leahy, R. M. (1999). Continuous time dynamic PET imaging using list mode data. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics) (Vol. 1613, pp. 98-111). (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1613). Springer Verlag.

Continuous time dynamic PET imaging using list mode data. / Nichols, Thomas E.; Qi, Jinyi; Leahy, Richard M.

Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1613 Springer Verlag, 1999. p. 98-111 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics); Vol. 1613).

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Nichols, TE, Qi, J & Leahy, RM 1999, Continuous time dynamic PET imaging using list mode data. in Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). vol. 1613, Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics), vol. 1613, Springer Verlag, pp. 98-111, 16th International conference on Information Processing in Medical Imaging, IPMI 1999, Visegrad, Hungary, 6/28/99.
Nichols TE, Qi J, Leahy RM. Continuous time dynamic PET imaging using list mode data. In Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1613. Springer Verlag. 1999. p. 98-111. (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
Nichols, Thomas E. ; Qi, Jinyi ; Leahy, Richard M. / Continuous time dynamic PET imaging using list mode data. Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 1613 Springer Verlag, 1999. pp. 98-111 (Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)).
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