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The main scientific problem is the construction of methods for describing and analysing images that consider multilevel periodicity and the dependence of their fuzzy properties on the scale of observation. The vast majority of digital image processing algorithms are based on a precise algorithm for extracting useful information, which often does not allow vision systems to solve nontrivial problems. To date, a vast number of "fuzzy" algorithms (based on the use of the theory of fuzzy sets) have been developed, all...

The main tasks and provisions of multiscale image processing of nanostructures are formulated, the feature of which is the use of the concepts of heredity and variability of characters. Heredity refers to the process of preserving traits on a sequence of images of a nanostructure as the scale of observation changes. Under variability refers to the process of loss of signs or the emergence of new signs on a multiscale sequence of images. It is obvious that images of nanostructures on scales at which there is a shar...