The DOI matches its Crossref record; 26 of the 26 references it cites were found in a registry or an index.
A local update strategy for iterative reconstruction from projections
Abstract
A method for Bayesian reconstruction which relies on updates of single pixel values, rather than the entire image, at each iteration is presented. The technique is similar to Gauss-Seidel (GS) iteration for the solution of differential equations on finite grids. The computational cost per iteration of the GS approach is found to be approximately equal to that of gradient methods. For continuously valued images, GS is found to have significantly better convergence at modes representing high spatial frequencies. In addition, GS is well suited to segmentation when the image is constrained to be discretely valued. It is shown that Bayesian segmentation using GS iteration produces useful estimates at much lower signal-to-noise ratios than required for continuously valued reconstruction. The convergence properties of gradient ascent and GS for reconstruction from integral projections are analyzed, and simulations of both maximum-likelihood and maximum a posteriori cases are included.>
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Equation of State Calculations by Fast Computing Machines
Metropolis, N., Rosenbluth, A. W., Rosenbluth, M. N., Teller, A. H., & Teller, E. (1953) · The Journal of Chemical Physics · doi:10.1063/1.1699114 · Cited by 37,192
Stochastic relaxation, gibbs distributions, and the bayesian restoration of images.
Geman, S., & Geman, D. (1984) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.1984.4767596 · Cited by 17,949
Numerical recipes in Pascal: the art of scientific computing
(1990) · Choice Reviews Online · doi:10.5860/choice.27-5158 · Cited by 11,811
Solutions of Ill-Posed Problems.
Bell, J. B., Tikhonov, A. N., & Arsenin, V. Y. (1978) · Mathematics of Computation · doi:10.2307/2006360 · Cited by 8,101
Spatial Interaction and the Statistical Analysis of Lattice Systems
Besag, J. (1974) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1974.tb00999.x · Cited by 6,067
Numerical Recipes--The Art of Scientific Computing.
Fritsch, F. N., Press, W. H., Flannery, B. P., Teukolsky, S. A., & Vetterling, W. T. (1988) · Mathematics of Computation · doi:10.2307/2007938 · Cited by 4,845
On the Statistical Analysis of Dirty Pictures
Besag, J. (1986) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1986.tb01412.x · Cited by 4,191
The Fourier reconstruction of a head section
Shepp, L. A., & Logan, B. F. (1974) · IEEE Transactions on Nuclear Science · doi:10.1109/tns.1974.6499235 · Cited by 2,179
Image reconstruction from projections : the fundamentals of computerized tomography
Herman, G. T. (1980) · Academic Press eBooks · Cited by 1,993
Briggs, W. L. (1987) · Cited by 1,868
Cited by
Sidky, E. Y., & Pan, X. (2008) · Physics in Medicine and Biology · doi:10.1088/0031-9155/53/17/021 · Cited by 1,995
A three‐dimensional statistical approach to improved image quality for multislice helical CT
Thibault, J., Sauer, K. D., Bouman, C. A., & Hsieh, J. (2007) · Medical Physics · doi:10.1118/1.2789499 · Cited by 937
Self-citationWang, J., Li, T., Lu, H., & Liang, Z. (2006) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2006.882141 · Cited by 533
You, C., Cong, W., Vannier, M. W., Saha, P. K., Hoffman, E. A., Wang, G., Li, G., Zhang, Y., Zhang, X., Shan, H., et al. (2020) · IEEE Transactions on Medical Imaging · doi:10.1109/tmi.2019.2922960 · Cited by 459
Metadata
- Authors
- Sauer, K., & Bouman, C.
- Venue
- IEEE Transactions on Signal Processing
- Published
- 1993
- Volume
- 41
- Issue
- 2
- Pages
- 534-548
- ISSN
- 1053-587X (ISSN-L)
- OpenAlex
- W2142419873
- Cited by
- 494
- References
- 26
- FWCI
- 7.95
- Type
- journal article
- Language
- en
- Open access
- closed
About these checks
Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
Statistics and arithmetic are recomputed, not judged.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: A local update strategy for iterative reconstruction from projections. https://app.cochat.ai/papers/10.1109/78.193196
- The paper
- Sauer, K., & Bouman, C. (1993). A local update strategy for iterative reconstruction from projections. IEEE Transactions on Signal Processing. https://doi.org/10.1109/78.193196
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
