Unexpected spatial patterns in exponential family auto models
Graphical Models and Image Processing
Markov random field models in image processing
The handbook of brain theory and neural networks
Bayesian models for medical image biology using monte carlo markov chains techniques
Mathematical and Computer Modelling: An International Journal
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The main goal of texture analysis is to extract useful textural information from an image. The use of Bayesian methods is an approach, which seeks to provide a unified framework in modeling within many different image processes. In this work, spatial behavior of the auto-logistic model in a rectangular lattice would be investigated, concentrating the first-order neighborhood structures. A simple deterministic model based on a univariate iterative scheme is studied which predicts the properties of these models and realizations have been generating using the Gibbs sampler to illustrate the properties. For well defined regions in the parameter space this iterative scheme is unstable leading to catastrophic and 2-cycle behavior.