Abstract: Fractal geometry is an important field of mathematics and computer science. Fractal images have a complex structure and can be used in various fields, such as graphics, computer vision and design. In carpet design, fractal structures are used to create patterns and decorations. However, the creation of high-quality fractal images of carpets requires optimization of color parameters. In this article, we will propose two methods for optimizing the color parameters of carpet fractal images: a genetic algorithm and a simplex optimization method. In addition, we propose to use a neural network to classify the colors of fractal structures in carpet design. ; "Science and innovation" international scientific journal. ISSN: 2181-3337
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