Fractal Analysis Using the Mass-Radius Method

Authors

  • Sh.A.Anarova Tashkent University of Information Technologies named after Muhammad al-Khwarizmi Author
  • D.N. Boliyeva Scientific Research Institute for the Development of Digital Technologies and Artificial Author

DOI:

https://doi.org/10.51699/w1yh6v09

Keywords:

fractal analysis, complex structures, mass-radius method

Abstract

Biological images often contain structural formations, especially those derived from neural tissues. It is known that neurons are divided into several types, but distinguishing these types remains a constant problem. The main feature of the fractal dimension is proposed in this article. The possibilities of performing fractal analysis using the mass-radius method are investigated below. The obtained results were analyzed based on the mass-radius method. In addition, the article presents the capabilities and characteristics of the software tool designed for calculating the mass-radius method.

References

1. Mandelbrot, (1983) “The Fractal Geometry of Nature.” W.H. Freeman and Co., New York.

2. researchoutput.csu.edu.au

3. Schroeder, M. (1991). “Fractals, Chaos, Power Laws: Minutes from an Infinite Paradise.” W.H. Freeman & Co.

4. Jelinek, H.F. and Fernandez, E. (2001) “Use of fractal theory in neuroscience: methods, advantages and potential problems.” Methods, 24(4):309-321.

5. Einstein AJ. Wu HS. Sanchez M. and Gil J. (1998) “Fractal characterisation of chromatin appearance for diagnosis in breast cytology.” Journal of Pathology. 185(4):366-381.

6. John W. Rippin. “Notes on the implementation of the mass – radius method of fractal dimension estimation.”

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Published

2025-11-08

How to Cite

Fractal Analysis Using the Mass-Radius Method. (2025). Innovative: International Multidisciplinary Journal of Applied Technology (2995-486X), 3(12), 43-48. https://doi.org/10.51699/w1yh6v09

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