The article considers aerospace technologies in terms of the details of the space survey of distributed objects. With discrete shooting of areas of interest, a set of images is formed, which are processed by segmentation tools. A set of overlapping or overlapping segments forms objects belonging to the register (areas of interest). The theoretical features of creating mathematical support for the process of forming areas of interest in which objects are present, based on a set of image segments obtained as a result of image processing by segmentation tools, are described. In particular, a mathematical model is presented for creating initial zones from multiple segments of sequential images. The process consists of determining the dynamic neighbourhood, determining the interaction weights and the rules for updating them, updating the spatial vectors of the segments of the processed images. The obtained results provide the creation of mathematical support for the process of forming areas of interest in which objects are present, based on a set of image segments obtained as a result of image processing by segmentation tools.