Title :
Approximate covariance functions for gray-level Gibbs random fields
Author :
Elfadel, Ibrahim M.
Author_Institution :
Res. Lab. of Electron., MIT, Cambridge, MA, USA
Abstract :
In this paper, we depart from the usual engineering approach for estimating the means and correlations of gray-level Gibbs random field (GRF) image models using Monte Carlo simulation and show that it is possible to obtain analytical estimates based on the mean-field approximation of statistical physics. In particular, we give a closed-form formula for the covariance matrix of a gray-level GRF model in the case where the coupling between gray levels is quadratic
Keywords :
covariance analysis; estimation theory; image processing; probability; random processes; statistics; analytical estimates; approximate covariance functions; closed-form formula; correlation estimation; gray-level Gibbs random fields; image models; mean-field approximation; means estimation; quadratic coupling; statistical physics; Covariance matrix; Equations; Image analysis; Lattices; Monte Carlo methods; Parameter estimation; Physics; Probability distribution; Symmetric matrices;
Conference_Titel :
Acoustics, Speech, and Signal Processing, 1994. ICASSP-94., 1994 IEEE International Conference on
Conference_Location :
Adelaide, SA
Print_ISBN :
0-7803-1775-0
DOI :
10.1109/ICASSP.1994.389409
