![]() Iterated functions in the complex plane were investigated in the late 19th and early 20th centuries by Henri Poincar, Felix Klein, Pierre Fatou and Gaston Julia. The mathematics behind fractals began to take shape in the 17th century when mathematician and philosopher Leibniz considered recursive self-similarity (although he made the mistake of thinking that only the straight line was self-similar in this sense). Finally, the comparison between filtered ranges method and self-organizing Results are presented and the performance of the proposed algorithm isĭiscussed. The neural network algorithms haveīeen applied on the process of compression (encryption). The image that have a specific milestone. ![]() To reduce the time required for image compression by excluding some parts of Image space, which deals with the computer. Mathematical formulation form is also provided on the digital Then this idea is applied by iterated function system, iterative systemįunctions and grayscale iterated function system down to general Which is the cornerstone of the mathematical idea of fractal image compression. This inverse problem is based on collage theorem In this paper, the idea of the inverse problem ofįixed point is introduced. The process of image compression (encoding) and conversion into a system of Of the main disadvantages of fractal image data compression is a loss time in
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