Outer factor 2-D MA models for purely indeterministic fields and wold-type texture decompositions

In this paper, we propose a new method to compute the parameters of finite approximations of 2-D MA infinite models associated with purely indeterministic stationary fields, by using spectral factorizations. This method is developed in the framework of model based approaches for texture analysis and synthesis. The proposed parameter estimation method is then exploited to derive a scheme to separate the indeterministic and the deterministic components of a texture in Wold decomposition based models. Unlike existing approaches, the resulting decomposition scheme does not require any support detection technique in the spectral domain.