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 accessAbstract
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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Cites
Maximum Likelihood from Incomplete Data Via the EM Algorithm
Dempster, A. P., Laird, N. M., & Rubin, D. B. (1977) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1977.tb01600.x · Cited by 50,444
Principles of Computerized Tomographic Imaging
Kak, A. C., & Slaney, M. (2001) · doi:10.1137/1.9780898719277 · Cited by 5,809
Maximum Likelihood Reconstruction for Emission Tomography
Shepp, L. A., & Vardi, Y. (1982) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.1982.4307558 · Cited by 4,429
A Statistical Model for Positron Emission Tomography
Vardi, Y., Shepp, L. A., & Kaufman, L. (1985) · Journal of the American Statistical Association · doi:10.1080/01621459.1985.10477119 · Cited by 863
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Noise correlation in CBCT projection data and its application for noise reduction in low‐dose CBCT
Zhang, H., Ouyang, L., Ma, J., Huang, J., Chen, W., & Wang, J. (2014) · Medical Physics · doi:10.1118/1.4865782 · Cited by 47
Riederer, I., Zimmer, C., Pfeiffer, D., Wunderlich, S., Poppert, H., Rummeny, E. J., & Huber, A. (2018) · Clinical Imaging · doi:10.1016/j.clinimag.2018.03.021 · Cited by 12
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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- Fessler, J. A. (1994). Penalized weighted least-squares image reconstruction for positron emission tomography. IEEE Transactions on Medical Imaging. https://doi.org/10.1109/42.293921
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