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Cited by 611

The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.

Penalized weighted least-squares image reconstruction for positron emission tomography

Open access
Fessler, J.A.·1994·IEEE Transactions on Medical Imaging

Abstract

Presents an image reconstruction method for positron-emission tomography (PET) based on a penalized, weighted least-squares (PWLS) objective. For PET measurements that are precorrected for accidental coincidences, the author argues statistically that a least-squares objective function is as appropriate, if not more so, than the popular Poisson likelihood objective. The author proposes a simple data-based method for determining the weights that accounts for attenuation and detector efficiency. A nonnegative successive over-relaxation (+SOR) algorithm converges rapidly to the global minimum of the PWLS objective. Quantitative simulation results demonstrate that the bias/variance tradeoff of the PWLS+SOR method is comparable to the maximum-likelihood expectation-maximization (ML-EM) method (but with fewer iterations), and is improved relative to the conventional filtered backprojection (FBP) method. Qualitative results suggest that the streak artifacts common to the FBP method are nearly eliminated by the PWLS+SOR method, and indicate that the proposed method for weighting the measurements is a significant factor in the improvement over FBP.

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Crossref · 10.1109/42.293921

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Metadata

Authors
Fessler, J. A.
Venue
IEEE Transactions on Medical Imaging
Published
1994-06
Volume
13
Issue
2
Pages
290-300
ISSN
0278-0062 (ISSN-L)
OpenAlex
W2104455572
Cited by
611
References
4
FWCI
11.14
Type
journal article
Language
en
Open access
green

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