  New theoretical results are presented here on the recently introduced model
called mixed states MRF. Such models were introduced in the context of image
motion analysis and are useful to represent information which can take both
discrete values accounting for symbolic states, and real values corresponding
to continuous measurements. In particular, results are given when the global
energy for the Gibbs formulation expressing the mixed states model, can be
decomposed into one term accounting for the discrete part of the model, and a
second term related to the continuous part. This decomposition theorem permits
to define conditional mixed states models in a very simple way.
