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title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð±Ð°ÐºÐ°Ð»Ð°Ð²ÑÐ°
titleType: Subtitle
title: Image compression based on fractal geometry methods
Creators: name: ÐÐ°Ð±Ð»Ð°ÑÐµÐ², ÐÐ¾Ð½ÑÑÐ°Ð½ÑÐ¸Ð½
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÑÑÐ°ÐºÑÐ°Ð»
ÑÑÐ°ÐºÑÐ°Ð»ÑÐ½Ð°Ñ Ð³ÐµÐ¾Ð¼ÐµÑÑÐ¸Ñ
ÑÐ¶Ð°ÑÐ¸Ðµ
ÑÐ¶Ð¸Ð¼Ð°ÑÑÐµÐµ Ð¾ÑÐ¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ðµ
Ð¸Ð·Ð¾Ð±ÑÐ°Ð¶ÐµÐ½Ð¸Ðµ
Matlab
fractal
fractal geometry
compression
fractal compression
image

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description: The theme of the final qualification work: "Image compression based on fractal geometry methods".The aim of the work is to study the methods of fractal geometry and create on their basis a program for compressing images.The subject of the study is modern methods of fractal image compression. Problems to be solved in the course of the research:Study of the theory of fractal geometry.Analysis of research in the field of fractal image compression.Description and development of fractal compression algorithm.Software implementation of the developed algorithm in the MATLAB environment.Evaluate the speed and accuracy of the created tool.In the course of the work, the theory from the field of fractals and fractal geometry was investigated, the foundations of the mathematical apparatus necessary for further work were outlined. As a result of the work, a fractal encoding tool was developed. The efficiency and effectiveness of this program was demonstrated. It was concluded which parameters of the algorithm were optimal for the speed of the program and the compression ratio. The obtained results can be used as a basis for the development and modification of fractal compression algorithms, as well as software for training and research.