DEVELOPMENT OF A HYBRID SPECTRAL FRACTAL MODEL AND ALGORITHM FOR JEWELRY
Keywords:
Fractal, jewelry, spectral model, FFT, Hybrid Spectral Fractal Model, density function (PDF)Abstract
This article examines the development of a Hybrid Spectral Fractal Model (HSFM) for jewelry. The article describes the theoretical foundations and mathematical expression of the HSFM. The model combines three main components: parametric surfaces, fractal structures, and an implicit shell. Parametric surfaces provide the basic shape of the object, while fractal structures exhibit refined complexity and meet the requirements of implicit shell manufacturing. The model provides a complete solution for jewelry design, combining methods of differential geometry, fractal theory, and implicit modeling. Based on the model, the results obtained for various iteration n values are presented graphically.
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