Accelerated direct reconstruction of PET parametric images using augmented Lagrangian optimization

Guobao Wang, Jinyi Qi

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

2 Citations (Scopus)

Abstract

Direct estimation of physiologically or biochemically important parameters from raw projection data is challenging in dynamic positron emission tomography (PET) due to the coupling between tomographic image reconstruction and nonlinear kinetic parameter estimation. Optimization transfer algorithms have been previously developed to solve the complex optimization problem. These algorithms, however, can suffer from slow convergence rate. This paper proposes an accelerated iterative algorithm for direct reconstruction of kinetic parameters through variable splitting under the framework of augmented Lagrangian optimization. Similar to the optimization transfer algorithms, the proposed algorithm splits each iteration of direct reconstruction into two separate steps: dynamic image reconstruction and pixel-wise nonlinear least squares kinetic fitting. The unique advantage of the new algorithm is its flexibility to employ any existing reconstruction algorithms in the reconstruction step, which can substantially accelerate the convergence speed. Computer simulations show that the proposed direct algorithm can be efficiently implemented and achieve much faster convergence speed than the optimization transfer algorithm.

Original languageEnglish (US)
Title of host publicationProceedings - International Symposium on Biomedical Imaging
PublisherIEEE Computer Society
Pages1200-1203
Number of pages4
Volume2015-July
ISBN (Print)9781479923748
DOIs
StatePublished - Jul 21 2015
Event12th IEEE International Symposium on Biomedical Imaging, ISBI 2015 - Brooklyn, United States
Duration: Apr 16 2015Apr 19 2015

Other

Other12th IEEE International Symposium on Biomedical Imaging, ISBI 2015
CountryUnited States
CityBrooklyn
Period4/16/154/19/15

Fingerprint

Positron emission tomography
Positron-Emission Tomography
Computer-Assisted Image Processing
Image reconstruction
Kinetic parameters
Least-Squares Analysis
Computer Simulation
Parameter estimation
Pixels
Kinetics
Computer simulation

Keywords

  • Dynamic PET
  • image reconstruction
  • optimization algorithm
  • parametric imaging

ASJC Scopus subject areas

  • Biomedical Engineering
  • Radiology Nuclear Medicine and imaging

Cite this

Wang, G., & Qi, J. (2015). Accelerated direct reconstruction of PET parametric images using augmented Lagrangian optimization. In Proceedings - International Symposium on Biomedical Imaging (Vol. 2015-July, pp. 1200-1203). [7164088] IEEE Computer Society. https://doi.org/10.1109/ISBI.2015.7164088

Accelerated direct reconstruction of PET parametric images using augmented Lagrangian optimization. / Wang, Guobao; Qi, Jinyi.

Proceedings - International Symposium on Biomedical Imaging. Vol. 2015-July IEEE Computer Society, 2015. p. 1200-1203 7164088.

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

Wang, G & Qi, J 2015, Accelerated direct reconstruction of PET parametric images using augmented Lagrangian optimization. in Proceedings - International Symposium on Biomedical Imaging. vol. 2015-July, 7164088, IEEE Computer Society, pp. 1200-1203, 12th IEEE International Symposium on Biomedical Imaging, ISBI 2015, Brooklyn, United States, 4/16/15. https://doi.org/10.1109/ISBI.2015.7164088
Wang G, Qi J. Accelerated direct reconstruction of PET parametric images using augmented Lagrangian optimization. In Proceedings - International Symposium on Biomedical Imaging. Vol. 2015-July. IEEE Computer Society. 2015. p. 1200-1203. 7164088 https://doi.org/10.1109/ISBI.2015.7164088
Wang, Guobao ; Qi, Jinyi. / Accelerated direct reconstruction of PET parametric images using augmented Lagrangian optimization. Proceedings - International Symposium on Biomedical Imaging. Vol. 2015-July IEEE Computer Society, 2015. pp. 1200-1203
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