Fast gradient-based methods for Bayesian reconstruction of transmission and emission PET images

Journal Article · Wed Nov 30 23:00:00 EST 1994 · IEEE Transactions on Medical Imaging (Institute of Electrical and Electronics Engineers); (United States)

DOI:https://doi.org/10.1109/42.363099· OSTI ID:6873587

Mumcuglu, E U; Leahy, R; Zhou, Z ^[1]; Cherry, S R ^[2]

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1. Univ. of Southern California, Los Angeles, CA (United States)
2. Univ. of California, Los Angeles, CA (United States)

The authors describe conjugate gradient algorithms for reconstruction of transmission and emission PET images. The reconstructions are based on a Bayesian formulation, where the data are modeled as a collection of independent Poisson random variables and the image is modeled using a Markov random field. A conjugate gradient algorithm is used to compute a maximum a posteriori (MAP) estimate of the image by maximizing over the posterior density. To ensure nonnegativity of the solution, a penalty function is used to convert the problem to one of unconstrained optimization. Preconditioners are used to enhance convergence rates. These methods generally achieve effective convergence in 15--25 iterations. Reconstructions are presented of an [sup 18]FDG whole body scan from data collected using a Siemens/CTI ECAT931 whole body system. These results indicate significant improvements in emission image quality using the Bayesian approach, in comparison to filtered backprojection, particularly when reprojections of the MAP transmission image are used in place of the standard attenuation correction factors.

• OSTI ID: 6873587
• Journal Information: IEEE Transactions on Medical Imaging (Institute of Electrical and Electronics Engineers); (United States), Journal Name: IEEE Transactions on Medical Imaging (Institute of Electrical and Electronics Engineers); (United States) Vol. 13:4; ISSN 0278-0062; ISSN ITMID4
• Country of Publication: United States
• Language: English

Related Subjects

550601* -- Medicine-- Unsealed Radionuclides in Diagnostics
62 RADIOLOGY AND NUCLEAR MEDICINE
ACCURACY
ALGORITHMS
BETA DECAY RADIOISOTOPES
BETA-PLUS DECAY RADIOISOTOPES
COMPUTERIZED TOMOGRAPHY
DIAGNOSTIC TECHNIQUES
DRUGS
EMISSION COMPUTED TOMOGRAPHY
FLUORINE 18
FLUORINE ISOTOPES
HOURS LIVING RADIOISOTOPES
IMAGE PROCESSING
ISOMERIC TRANSITION ISOTOPES
ISOTOPES
LABELLED COMPOUNDS
LIGHT NUCLEI
MATHEMATICAL LOGIC
NANOSEC LIVING RADIOISOTOPES
NUCLEI
ODD-ODD NUCLEI
OPTIMIZATION
POSITRON COMPUTED TOMOGRAPHY
PROCESSING
RADIOISOTOPES
RADIOPHARMACEUTICALS
TOMOGRAPHY