Long correlation random field image models

Random field models have found applications in many areas including image analysis and processing. Techniques include the simultaneous (AR, MA, and SARMA) models and the conditional Markov (CM) models. To motivate the long correlation (LC) models examined, a brief review of both the SARMA and CM methods is provided. The LC random field models are then presented; these models are a generalization of SAR models and possess only a few parameters. Simulations are provided to illustrate the affect of parameter variation on the correlation, or texture, of the resulting random field. Very general experiments jointly employing SMA and LC models are also described; a combination of models of this type is seen to permit exceptionally flexible control over both low and high frequency random field behavior