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Zbl 0760.62029
Besag, Julian; York, Jeremy; Mollié, Annie
Bayesian image restoration, with two applications in spatial statistics (with discussion). (English)
[J] Ann. Inst. Stat. Math. 43, No.1, 1-59 (1991). ISSN 0020-3157; ISSN 1572-9052/e

Summary: There has been much recent interest in Bayesian image analysis, including such topics as removal of blur and noise, detection of object boundaries, classification of textures, and reconstruction of two- or three- dimensional scenes from noisy lower-dimensional views. Perhaps the most straightforward task is that of image restoration, though it is often suggested that this is an area of relatively minor practical importance. The present paper argues the contrary, since many problems in the analysis of spatial data can be interpreted as problems of image restoration. Furthermore, 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. Two examples are given, one in archeology, the other in epidemiology. These are preceded by a partial review of pixel-based Bayesian image analysis.

MSC 2000:: *62F15 Bayesian inference
62M30 Statistics of spatial processes
68U10 Image processing
62N99 Survival analysis and censored data

Keywords: Bayesian image analysis; image restoration; Gibbs sampler; archeology; epidemiology

Cited in: Zbl 1060.62629 Zbl 0851.62066

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