Topological Principles of Cognitive Image Generation

The paper presents a new topological principles for generating images of multi-dimensional data for monitoring the behavior of complex systems by means of cognitive computer graphics. These images provide the selection of fundamentally new integral characteristics of complex systems based on visualization and objectification of topological invariants in the multidimensional space of parameters of complex systems. Fundamentally new algorithmic approaches to the representation of cognitive images of multidimensional data in the form of objective 3D images are proposed.