Recursive Filtering for the Uhlenbeck Random Field an Application to Image Restoring

M. Dolores Ruiz-Medina and Mariano J. Valderrama
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M. Dolores Ruiz-Medina: University of Granada, Department of Statistics and Operation Research
Mariano J. Valderrama: University of Granada, Department of Statistics and Operation Research

A chapter in Advances in Stochastic Modelling and Data Analysis, 1995, pp 74-84 from Springer

Abstract: Abstract A stochastic model for describing the dynamic of the Uhlenbeck field on the basis of its covariance structure is presented in the paper. We apply the spectral properties of the solution to derive a predictive estimate. Then we calculate a discrete approximation to the model and present a filtering technique for restoring images, based in this discrete model and in the former predictive estimate. Finally, we derive a generation method for simulating this stochastic model and studying the applicability of the filtering technique. A numerical example is also realized.

Keywords: Uhlenbeck random field; Brownian Sheet; Spectral descomposition; Recursive filtering algorithm (search for similar items in EconPapers)
Date: 1995
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-017-0663-6_4

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DOI: 10.1007/978-94-017-0663-6_4

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