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DEVELOPMENT OF A HIERARCHICAL REPRESENTATION OF A DIGITAL IMAGE BASED ON A FUZZY FRACTAL MODEL

A. L. Zhiznyakov

Abstract

The task of the work is to improve the quality of digital image processing in vision systems by developing new features based on the use of fractal theory in conjunction with fuzzy logic and the theory of fuzzy sets. At present, the systems of technical vision are actively used in many fields of science and technology. The most important part of any such system is the software, whose task is to process the information received. However, the overwhelming majority of digital image processing algorithms are based on a clear algorithm for extracting useful information, which often does not allow the technical vision systems to solve non-trivial problems. In this regard, it is proposed to combine the mathematical theory of fuzzy sets and fuzzy logic with the proven fractal methods of digital image processing. To develop a system of new features, a new model of digital image is needed. It is proposed to modify the fractal model developed by the project manager by using a fuzzy distance in it as a measure of similarity of the image areas. This allows you to expand the hierarchy of representations of the source image, thereby increasing the amount of useful information about the original image. The system of fractal attributes developed by the project manager is proposed to be modified by using the membership function as the main metric, which allows using fuzzy logic in the formation of characteristic values. The proposed new model and a new system of features based on the use of fuzzy measures and membership functions will allow developing new image processing algorithms that differ from the existing possibility of using fuzzy conclusions and results.

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DOI resolver: doi.org/10.5593/sgem2018/2.1/s07.039

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