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(More customer reviews)Guyon has done research in the theory of random fields. This text was first published in French in 1992 and then translated to English and published by Springer-Verlag in 1995. This theory is rapidly developing and there have been many new advances over the nine years since the publication of this work. Nevertheless it contains a good theoretical development and treatment of the theory and provides applications to image processing.
The important results on stochastic algorithms are covered in Chapter Six which includes the results on Gibbs sampling that first had a big impact on spatial modeling and image processing through the work of the Gemans. Later it was recognized to be a special case of Markov Chain Monte Carlo modeling that is now so crucial to the practical implementation of Bayesian statistical methods.
The book contains an excellent list of over 175 references.
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The theory of spatial models over lattices, or random fields as they are known, has developed significantly over recent years. This book provides a graduate-level introduction to the subject which assumes only a basic knowledge of probability and statistics, finite Markov chains, and the spectral theory of second-order processes. A particular strength of this book is its emphasis on examples - both to motivate the theory which is being developed, and to demonstrate the applications which range from statistical mechanics to image analysis and from statistics to stochastic algorithms.
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