Purpose. For automated design of buildings, networks and engineering products.
Application area. Discrete information about the geometric shape of an image is necessary for solving complex multi-criteria problems in such areas of knowledge as thermodynamics; theory of elasticity, electric and magnetic fields; modeling and forecasting of economic processes (in particular, the process of analyzing statistical data is reduced to the problems of approximation, interpolation, extrapolation).
Advantages. The created geometric theory and algorithms for forming discrete models of geometric images of different dimensions using the geometric apparatus of superpositions allow solving problems in various fields of science and technology, in particular in mechanical engineering, architecture, construction, engineering preparation of development areas, land management, etc., with the lowest possible costs. The developed methods for forming discrete structures of multidimensional geometric images are the basis for the development of information structures whose concepts and properties fit the scheme of restoring the original information and displaying it by the simulated technical means of information.
Description. Theoretical and algorithmic bases for the formation of discrete models of geometric images based on a combination of discrete geometric modeling methods: finite differences, static-geometric, numerical sequences and the geometric apparatus of superpositions.