Journals / Chaos Theory and Applications / 2020 / Cilt: 2 - Sayı: 1

An Interface Design for Calculation of Fractal Dimension

Pages
3–9
Publication Date
2022-10-12
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

The fractal dimension can be easily calculated by the user-friendly interface.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Partially insufficient is the modelling of irregular and complex forms using Euclidean geometry.
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Key Findings & Data:On the other hand, fractal geometry allows irregular complex forms and structures to be expressed in mathematical terms.
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Conclusion & Impact:The fractal dimension can be easily calculated by the user-friendly interface.
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

Partially insufficient is the modelling of irregular and complex forms using Euclidean geometry. On the other hand, fractal geometry allows irregular complex forms and structures to be expressed in mathematical terms. While fractal geometry appears to be irregular in nature, when analyzed, it is the structures in which a regular form is replicated throughout the picture. The fractal dimension is a numerical value of that form, showing the levels of complexity of shapes or objects in nature. It appears as the signature of many things. The method used in this analysis when measuring the fractal dimension is the method of box counting. It appears as the signature of many things. The method used in calculating the fractal dimension in this study is the method of box counting. A user-friendly interface is developed using the MATLAB GUI to more easily investigate and analyse biological, medical, architectural, geographical, astronomical etc. images of this method. The fractal dimension can be easily calculated by the user-friendly interface.

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Cite This Article

BOYRAZ, Ö. F., BOZ, A. F., ÇİMEN, M. E., YILDIZ, M. Z., PEHLİVAN, İ., GARİP, Z. B. (2022). An Interface Design for Calculation of Fractal Dimension. Chaos Theory and Applications, Cilt: 2 - Sayı: 1, 3–9. https://ajindex.com/articles/473738

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References (7)

  1. Alik, B., 2015 Mimarlıkta tasarlama yöntemleri ve fraktal tasarımlar üzerine bir inceleme. Arifo ˘glu, U., 2013 Matlab 7.14 Simulink-Mühendislik Uygulamaları. Alfa Yayınları.
  2. Boz, A. F. and M. E. Çimen, 2017 An interface design for controlling dead time systems using pso, cs and fa algorithms. In 8th International Advanced Technologies Symposium (IATS’17). Brown, C. and L. Liebovitch, 2010 Fractal analysis, volume 165. Sage. Calusdian, J. and X. Yun, 2019 A simple and highly portable matlab interface for learning robotics. SN Applied Sciences 1: 890. Cimen, M. E., Z. B. Garip, M. A. Pala, A. F. Boz, and A. Akgul, 2019 Modelling of a chaotic system motion in video with artiıficial neural networks. Chaos Theory and Applications 1: 38–50.
  3. Çimen, M. E., S. Kaçar, E. GÜLERYÜZ, B. Gürevin, and A. Akgül, 2018 Kaotik bir hareket videosunun yapay sinir a ˘gları ile modellenmesi. Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi 20: 23–35.
  4. Cimen, M. E., S. Kacar, E. Guleryuz, B. Gürevin, and A. Akgul, 2018 Modeling of chaotic motion video with artificial neural networks. International Conference on Applied Mathematics in Engineering. Cınbarcı, A., 2016 Fraktal geometri ve evrim. Deneysel Tıp Ara¸stırma Enstitüsü Dergisi 6: 101–108. De ˘girmenci, F. B., 2009 Fraktal geometri ve üretken sistemlerle mimari tasarım. Ph.D. thesis, Fen Bilimleri Enstitüsü. Ediz, Ö. and G. ÇAGDA ¸S, 2010a Mimari tasarımda fraktal kurguya ˘ dayalı üretken bir yakla¸sım. ˙ITÜDERG˙IS˙I/a 4. Ediz, Ö. and G. ÇAGDA ¸S, 2010b Mimari tasarımda fraktal kurguya ˘ dayalı üretken bir yakla¸sım. ˙ITÜDERG˙IS˙I/a 4. Elwaseif, M., J. Robinson, F. Day-Lewis, D. Ntarlagiannis, L. Slater, et al., 2017 A matlab-based frequency-domain electromagnetic inversion code (femic) with graphical user interface. Computers & geosciences 99: 61–71. Erdo ˘gan, N. K., 2017 Finansal zaman serilerinin fraktal analizi. Aksaray üniversitesi iktisadi ve idari bilimler fakültesi dergisi 9: 49–54.
  5. Falconer, K., 2004 Fractal geometry: mathematical foundations and applications. John Wiley & Sons. Fidan, U., D. Tomar, P. G. Özdil, and E. Erzin, 2019 A new interface for affective state estimation and annotation from speech. In 2019 27th Signal Processing and Communications Applications Conference (SIU), pp. 1–4,
  6. IEEE. Folch-Fortuny, A., F. Arteaga, and A. Ferrer, 2016 Missing data imputation toolbox for matlab. Chemometrics and Intelligent Laboratory Systems 154: 93–100.
  7. Genç, C., 2019 Fraktal Geometri ile Sanatsal Pratikler. M