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6.1

Supervised Estimation with Labeled Data

 

In this section, we assume that the data used for the parameter estimation is due to only a single MRF, e.g. a single texture. Or it is due to more than one MRFs but has been classified into distinct subset each of which is due to a single MRF. The data in the latter case could corresponds to an image which has already been segmented. Such data is considered as the known-class data. From the viewpoint of pattern recognition, such estimation is supervised. The set of parameters, , for each MRF, F, are estimated using the data which is a clean realization (Some methods are needed to combine estimates obtained from more than one realization), f, of that MRF. The algorithms described this section also provide the basis for more complicated unsupervised estimation with unlabeled data.