In this paper, a computer memory system intended for storing an arbitrary sequence of multidimensional arrays is described. This memory system permits parallel access to the cuts distinguished in a given array by fixing one of the coordinates and to a large set of parallelepipeds which are the same dimension subarrays of the given arrays. A model of an automatic system for analysis of dynamical images containing multiple moving objects is also investigated. In the main, a set of point objects is considered. The peculiarity of the proposed system is the use of parallelism at all stages: information perceiving, storing, and processing.