Сomputational Experience Optimization of Colors in Complex Fractal Images in Carpet Design Using the Simplex Method

Authors

  • Fakhriddin Nuraliev

    Tashkent University of Information Technologies Named after Muhammad, Al-Khwarizimi, Tashkent, 100084,Uzbekistan
  • Oybek Narzulloyev

    Tashkent University of Information Technologies Named after Muhammad, Al-Khwarizimi, Tashkent, 100084,Uzbekistan
  • Saida Tastanova

    Almaty No.110 school, Kazakhstan

DOI:

https://doi.org/10.30564/jcsr.v4i4.5215

Abstract

This article proposes a new approach based on linear programming optimization to solve the problem of determining the color of a complex fractal carpet pattern. The principle is aimed at finding suitable dyes for mixing and their exact concentrations, which, when applied correctly, gives the desired color. The objective function and all constraints of the model are expressed linearly according to the solution variables. Carpet design has become an emerging technological field known for its creativity, science and technology. Many carpet design concepts have been analyzed in terms of color, contrast, brightness, as well as other mathematical concepts such as geometric changes and formulas. These concepts represent a common process in the carpet industry. This article discusses the use of complex fractal images in carpet design and simplex optimization in color selection.

Keywords:

Fractal; Optimization methods; Simplex-method; Geometric transformations; Computer graphics; Pascal's triangle

References

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How to Cite

Nuraliev, F., Narzulloyev, O., & Tastanova, S. (2022). Сomputational Experience Optimization of Colors in Complex Fractal Images in Carpet Design Using the Simplex Method. Journal of Computer Science Research, 4(4), 7–14. https://doi.org/10.30564/jcsr.v4i4.5215

Issue

Vol. 4 , Iss. 4 (October 2022)

Article Type

Article

License

Copyright © 2022 Author(s)

Creative Commons License

This is an open access article under the Creative Commons Attribution-NonCommercial 4.0 International (CC BY-NC 4.0) License.

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