1 Department of Mathematical Sciences, Faculty of Science, Aarhus University, Aarhus University
In this paper, we develop a Bayesian procedure for removing noise from images that can be viewed as noisy realisations of random sets in the plane. The procedure utilises recent advances in configuration theory for noise free random sets, where the probabilities of observing the different boundary configurations are expressed in terms of the mean normal measure of the random set. These probabilities are used as prior probabilities in a Bayesian image restoration approach. Estimation of the remaining parameters in the model is outlined for the salt and pepper noise. The inference in the model is discussed in detail for 3x3 and 5x5 configurations and examples of performance of the procedure is given.
Image Analysis and Stereology, 2006, Vol 25, Issue 3, p. 129-143