Accelerated image reconstruction using ordered subsets of projection data

Accelerated image reconstruction using ordered subsets of projection data

The authors define ordered subset processing for standard algorithms (such as expectation maximization, EM) for image restoration from projections. Ordered subsets methods group projection data into an ordered sequence of subsets (or blocks). An iteration of ordered subsets EM is defined as a single...

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Bibliographic Details
Published in:IEEE transactions on medical imaging Vol. 13; no. 4; pp. 601 - 609
Main Authors: Hudson, H.M., Larkin, R.S.
Format: Journal Article
Language:English
Published: New York, NY IEEE 01-12-1994
Institute of Electrical and Electronics Engineers
Subjects:
Acceleration
ACCURACY
ALGORITHMS
Application software
Bayesian methods
Biological and medical sciences
COMPUTERIZED TOMOGRAPHY
Convergence
DIAGNOSTIC TECHNIQUES
EMISSION COMPUTED TOMOGRAPHY
IMAGE PROCESSING
Image reconstruction
Image restoration
Investigative techniques, diagnostic techniques (general aspects)
Iterative algorithms
MATHEMATICAL LOGIC
Medical sciences
Miscellaneous. Technology
OPTIMIZATION
Pathology. Cytology. Biochemistry. Spectrometry. Miscellaneous investigative techniques
POSITRON COMPUTED TOMOGRAPHY
Positron emission tomography
PROCESSING
RADIOLOGY AND NUCLEAR MEDICINE
SINGLE PHOTON EMISSION COMPUTED TOMOGRAPHY
TOMOGRAPHY 550601 > Medicine > Unsealed Radionuclides in Diagnostics
Radionuclide study
Performance evaluation
Image quality
Strong convergence
Ordered set
Iterative method
Algorithm
Photon
Computer aid
Image reconstruction
Positron
Emission tomography
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Description
Summary:The authors define ordered subset processing for standard algorithms (such as expectation maximization, EM) for image restoration from projections. Ordered subsets methods group projection data into an ordered sequence of subsets (or blocks). An iteration of ordered subsets EM is defined as a single pass through all the subsets, in each subset using the current estimate to initialize application of EM with that data subset. This approach is similar in concept to block-Kaczmarz methods introduced by Eggermont et al. (1981) for iterative reconstruction. Simultaneous iterative reconstruction (SIRT) and multiplicative algebraic reconstruction (MART) techniques are well known special cases. Ordered subsets EM (OS-EM) provides a restoration imposing a natural positivity condition and with close links to the EM algorithm. OS-EM is applicable in both single photon (SPECT) and positron emission tomography (PET). In simulation studies in SPECT, the OS-EM algorithm provides an order-of-magnitude acceleration over EM, with restoration quality maintained.< >
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ISSN:0278-0062
1558-254X
DOI:10.1109/42.363108