1 October 1991 Mean-field theory for grayscale texture synthesis using Gibbs random fields
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Abstract
This paper shows how methods developed in the context of statistical physics can be used to analyze gray-scale texture synthesis procedures based on the probabilistic paradigm of Gibbs random fields (GRF). In particular, using the mean-field equations of the texture GRF, the existence of a bifurcation point indicating the presence of a phase transition in the textural pattern is shown. Using simulations, it is shown that a number of interesting phenomena occur at the bifurcation temperature like a sudden decrease in energy, sharp peaks in similarity measures between textural patterns, and sudden saturation of the mean-field variables. For texture synthesis, it is sufficient to simulate the mean-field equations near the bifurcation temperature.
© (1991) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Ibrahim M. Elfadel, Alan L. Yuille, "Mean-field theory for grayscale texture synthesis using Gibbs random fields", Proc. SPIE 1569, Stochastic and Neural Methods in Signal Processing, Image Processing, and Computer Vision, (1 October 1991); doi: 10.1117/12.48383; https://doi.org/10.1117/12.48383
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