Analysis of the positive dynamic systems with entropy operator: Application to image restoration from projections

The PDSEO (positive dynamic systems with entropy operator)-concept consists of three parts: the general process in the system is a combination of the slow and fast processes, the slow process is deterministic and the fast is stochastic one, the fast process is a sequence of the local-stationary states, each of which is described by the entropy operator. The general single-valued entropy operator is considered. For such type of the entropy operator the conditions of continuity, smoothness and the estimation of the Lipschitz constant are obtained. The conditions of boundedness of the PDSEO¿s-trajectories are formulated. These results are used for forming of the dynamic procedure of the entropy image restoration from projections.