Bayesian image restoration, with two applications in spatial statistics
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Summary
The present paper argues that many problems in the analysis of spatial data can be interpreted as problems of image restoration, since the amounts of data involved allow routine use of computer intensive methods, such as the Gibbs sampler, that are not yet practicable for conventional images.
- Type
- article
- Published
- 1991-03-01
- Cited by
- 4,328
- References
- 21
- OpenAlex
- https://openalex.org/W2004014822
- Semantic Scholar
- https://api.semanticscholar.org/CorpusID:13799826
Keywords
Bayesian probability, Gibbs sampling, Image (mathematics), Image restoration, Artificial intelligence
References
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- Extra‐Poisson Variation in Log‐Linear Models
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- On the Statistical Analysis of Dirty Pictures
- Hands: A Pattern Theoretic Study of Biological Shapes
- Intrinsic autoregressions and related models on the two-dimensional lattice
- Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images
- Towards Bayesian image analysis
- Spatial Interaction and the Statistical Analysis of Lattice Systems
- Spatial Classification Using Fuzzy Membership Models
- Bayesian reconstructions from emission tomography data using a modified EM algorithm.
- Boundary Detection by Constrained Optimization
- Empirical Bayes estimates of age-standardized relative risks for use in disease mapping.
- Digital Image Processing: Towards Bayesian image analysis
- IEEE Transactions on Medical Imaging
- IEEE Transactions on Pattern Analysis and Machine Intelligence
- Bayesian Image Analysis
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