Abstract
The article considers a new approach to the construction of the velocity field, which is based on the methods of control theory and optimization of dynamics of ensembles of trajectories. This approach does not exclude the possibility that the brightness along the trajectories may vary. This makes it possible to build directional optimization methods for determining optical and non-optical flows. The velocity field is defined as some function depending on the vector of arbitrary parameters, which are determined as a result of minimizing the functional set on the ensemble of trajectories defined by this velocity field. An algorithm has been developed to solve the problems of restoring the velocity field using an analytical representation of the variation of the functional under study according to the parameters determining the velocity field, and taking into account the variation in time. The paper presents the results of testing the proposed algorithm, including splitting the image into subdomains.