Fractals
DOI:
https://doi.org/10.15587/1729-4061.2012.5675Keywords:
Fractal, fractal geometry, fractal image coding method, iterated function systemAbstract
The article represents a historical overview of the development of fractals and fractal geometry as applied science. The concepts of the terms "fractal" and "fractal dimension" are described. The classical example of a fractal is the coastline. The relevance of the research is determined by the high practical importance and the problem of fractal algorithm application of image coding in information technologies and computer graphics. The most comprehensive research of the fractal properties is represented in the works of Benoit Mandelbrot, who initiated the systematic study of fractals. Particular attention is paid to the mathematical model, iterated function system (IFS), which is used in fractal image compression. On the basis of the review, it is possible to formulate a conclusion about the relevance of research aimed at speed improvement of an image compression with the help of the fractal method
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