The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.
A study of methods of choosing the smoothing parameter in image restoration by regularization
Abstract
The method of regularization is portrayed as providing a compromise between fidelity to the data and smoothness, with the tradeoff being determined by a scalar smoothing parameter. Various ways of choosing this parameter are discussed in the case of quadratic regularization criteria. They are compared algebraically, and their statistical properties are comparatively assessed from the results of all extensive simulation study based on simple images.>
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
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
Generalized Cross-Validation as a Method for Choosing a Good Ridge Parameter
Golub, G. H., Heath, M., & Wahba, G. (1979) · Technometrics · doi:10.1080/00401706.1979.10489751 · Cited by 3,934
The Statistical Analysis of Time Series.
Anderson, T. W. (1995) · Biometrics · doi:10.2307/2532976 · Cited by 2,017
A Technique for the Numerical Solution of Certain Integral Equations of the First Kind
Phillips, D. L. (1962) · Journal of the ACM · doi:10.1145/321105.321114 · Cited by 1,985
Computational vision and regularization theory
Poggio, T., Torre, V., & Koch, C. (1985) · Nature · doi:10.1038/317314a0 · Cited by 1,412
The Statistical Analysis of Time Series.
Priestley, M. B., & Anderson, T. W. (1972) · Journal of the Royal Statistical Society. Series A (General) · doi:10.2307/2344686 · Cited by 1,269
The theory of Tikhonov regularization for Fredholm equations of the first kind
Groetsch, C. W. (1984) · Medical Entomology and Zoology · Cited by 1,160
Probabilistic Solution of Ill-Posed Problems in Computational Vision
Marroquin, J., Mitter, S., & Poggio, T. (1987) · Journal of the American Statistical Association · doi:10.1080/01621459.1987.10478393 · Cited by 766
Bayesian “Confidence Intervals” for the Cross-Validated Smoothing Spline
Wahba, G. (1983) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1983.tb01239.x · Cited by 637
On the asymptotic eigenvalue distribution of Toeplitz matrices
Gray, R. (1972) · IEEE Transactions on Information Theory · doi:10.1109/tit.1972.1054924 · Cited by 526
Cited by
A nonparametric method for automatic correction of intensity nonuniformity in MRI data
Sled, J. G., Zijdenbos, A. P., & Evans, A. C. (1998) · IEEE Transactions on Medical Imaging · doi:10.1109/42.668698 · Cited by 4,731
Constrained restoration and the recovery of discontinuities
Geman, D., & Reynolds, G. (1992) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/34.120331 · Cited by 1,085
Spatial Models for Fuzzy Clustering
Pham, D. L. (2001) · Computer Vision and Image Understanding · doi:10.1006/cviu.2001.0951 · Cited by 405
Tissue elasticity reconstruction using linear perturbation method
Kallel, F., & Bertrand, M. (1996) · IEEE Transactions on Medical Imaging · doi:10.1109/42.500139 · Cited by 329
Metadata
- Authors
- Thompson, A. M., Brown, J. C., Kay, J. W., & Titterington, D. M.
- Venue
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Published
- 1991-04
- Volume
- 13
- Issue
- 4
- Pages
- 326-339
- ISSN
- 0162-8828 (ISSN-L)
- OpenAlex
- W2125542221
- Cited by
- 305
- References
- 21
- FWCI
- 20.71
- 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 study of methods of choosing the smoothing parameter in image restoration by regularization. https://app.cochat.ai/papers/10.1109/34.88568
- The paper
- Thompson, A. M., Brown, J. C., Kay, J. W., & Titterington, D. M. (1991). A study of methods of choosing the smoothing parameter in image restoration by regularization. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/34.88568
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.
