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DEVELOPMENT OF A MATHEMATICAL MODEL OF A FUZZY MULTISCALE SEQUENCE
Abstract
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, allowing to expand the ways of image processing and to achieve new results. The objective of the work is to create the theoretical basis for processing fuzzy multiscale sequences of digital images, including a description of fuzzy representations of digital images and mathematical models of fuzzy multiscale sequences. Fuzzy representations of digital images are based on the properties of sequences, namely on the heredity and variability of features of images. One of the subtasks of the project is the development of a scientific apparatus for generating sequences of fuzzy images with the manifestation of the properties of heredity and the variability of characters.
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References4
Privezentsev, D.G., Zhiznyakov, A.L., Pugin, E.V. Development of fuzzy fractal representation of the image // CEUR Workshop Proceedings, Volume 2210, 2018, Pages 309-315
Zhiznyakov, A.L., Privezentsev, D.G., Pugin, E.V., Belyakova, A.S. Development of a hierarchical representation of a digital image based on a fuzzy fractal model // International Multidisciplinary Scientific GeoConference Surveying Geology and Mining Ecology Management, SGEM, Volume 18, Issue 2.1, 2018, Pages 309-315
Zhiznyakov A.L., Privezentsev D.G., Chernetskaya I.E., Pugin E.V. Development of fuzzy signsfor processing digital images // News of South-West State University. Series: Management, Computer Engineering, Computer Science. Medical Instrument. 2018. Vol. 8. No. 1 (26). Pp. 26-32.
Zhiznyakov, AL, Privezentsev, D.G. Fractal tree image of digital images / Design and technology of electronic means. 2011. No. 1. P. 44-47.
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