Year 2020, Volume 2 , Issue 1, Pages 3 - 9 2020-06-30

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.
Fractal geometry, Fractal Dimension Calculator, Box-Counting Dimension Method, User Interface
  • [1] C. İlhan, "Kent Dokusu Morfolojik Değişiminin Fraktal Geometri Aracılığıyla Hesaplanması: Bursa Örneği," Mimarlık ve Yaşam, vol. 4, no. 1, pp. 117-140, 2019.
  • [2] A. Uyar and D. Öztürk, "Fraktal analizin yeryüzü araştırmalarında kullanılması," Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, vol. 17, no. 4, pp. 147-155, 2017.
  • [3] C. Genç, "Fraktal Geometri ile Sanatsal Pratikler," Güzel Sanatlar Enstitüsü, 2019.
  • [4] Ü. Ufuktepe and İ. Aslan, "Fraktal geometriden bir kesit," İzmir Yüksek Teknoloji Enstitüsü Matematik Dünyası Dergisi, vol. 11, pp. 14-20, 2002.
  • [5] N. K. Erdoğan, "Finansal zaman serilerinin fraktal analizi," Aksaray üniversitesi iktisadi ve idari bilimler fakültesi dergisi, vol. 9, no. 4, pp. 49-54, 2017.
  • [6] K. Falconer, Fractal geometry: mathematical foundations and applications. John Wiley & Sons, 2004.
  • [7] C. Brown and L. Liebovitch, Fractal analysis. Sage, 2010.
  • [8] D. Yılmaz, "Doğanın Fraktal Geometrisi," 2013.
  • [9] S. Sertöz, Matematiğin aydınlık dünyası. Türkiye Bilimsel ve Teknik Araştırma Kurumu, 1996.
  • [10] A. O. ÖNCEL and Ö. ALPTEKİN, "Fraktal dağılım ve sismolojideki uygulamaları," Jeofizik Dergisi, vol. 9, no. 1, 1995.
  • [11] A. Cınbarcı, "Fraktal Geometri ve Evrim," Deneysel Tıp Araştırma Enstitüsü Dergisi, vol. 6, no. 11, pp. 101-108, 2016.
  • [12] P. Kırcı and E. A. Bayrak, "The Application of Fractal Analysis on Thyroid Ultrasound Images," Acta Infologica, vol. 3, no. 2, pp. 83-90, 2019.
  • [13] L. Yu, D. Zhang, K. Wang, and W. Yang, "Coarse iris classification using box-counting to estimate fractal dimensions," Pattern Recognition, vol. 38, no. 11, pp. 1791-1798, 2005.
  • [14] A. Sezer, A. B. Göktepe, and S. Altun, "Temel Dayanımının Fraktal Boyut ile İncelenmesi," 2007.
  • [15] B. Alik, "Mimarlıkta Tasarlama Yöntemleri Ve Fraktal Tasarımlar Üzerine Bir İnceleme," ed: Kocaeli Üniversitesi Fen Bilimleri Enstitüsü, Kocaeli, 2015.
  • [16] Ö. Ediz and G. ÇAĞDAŞ, "Mimari tasarımda fraktal kurguya dayalı üretken bir yaklaşım," İTÜDERGİSİ/a, vol. 4, no. 1, 2010.
  • [17] F. B. Değirmenci, "Fraktal geometri ve üretken sistemlerle mimari tasarım," Fen Bilimleri Enstitüsü, 2009.
  • [18] M. Vardhana, N. Arunkumar, S. Lasrado, E. Abdulhay, and G. Ramirez-Gonzalez, "Convolutional neural network for bio-medical image segmentation with hardwareacceleration," Cognitive Systems Research, vol. 50, pp. 10-14, 2018.
  • [19] B. Kis, M. Unay, G. D. Ekimci, U. K. Ercan, and A. Akan, "Counting Bacteria Colonies Based on Image Processing Methods," in 2019 Medical Technologies Congress (TIPTEKNO), 2019: IEEE, pp. 1-4.
  • [20] I. Hanhan and M. D. Sangid, "ModLayer: A MATLAB GUI Drawing Segmentation Tool for Visualizing and Classifying 3D Data," Integrating Materials and Manufacturing Innovation, vol. 8, no. 4, pp. 468-475, 2019.
  • [21] Q. L. Pham et al., "Open-Source Matlab-Based Graphical User Interface (GUI) For Computer Control of Microscopes Using Micro-Manager," arXiv preprint arXiv:1904.13231, 2019.
  • [22] J. Jara-Muñoz, D. Melnick, K. Pedoja, and M. R. Strecker, "TerraceM-2: A Matlab® Interface for Mapping and Modeling Marine and Lacustrine Terraces," Frontiers in Earth Science, vol. 7, p. 255, 2019.
  • [23] J. Huang, "Signal Analysis Based on MATLAB-GUI," in Journal of Physics: Conference Series, 2019, vol. 1314, no. 1: IOP Publishing, p. 012185.
  • [24] A. Folch-Fortuny, F. Arteaga, and A. Ferrer, "Missing data imputation toolbox for MATLAB," Chemometrics and Intelligent Laboratory Systems, vol. 154, pp. 93-100, 2016.
  • [25] J. González-Martínez, J. Camacho, and A. Ferrer, "MVBatch: A matlab toolbox for batch process modeling and monitoring," Chemometrics and Intelligent Laboratory Systems, vol. 183, pp. 122-133, 2018.
  • [26] J. Calusdian and X. Yun, "A simple and highly portable MATLAB interface for learning robotics," SN Applied Sciences, vol. 1, no. 8, p. 890, 2019.
  • [27] S. J. Mazivila, S. A. Bortolato, and A. C. Olivieri, "MVC3_GUI: A MATLAB graphical user interface for third-order multivariate calibration. An upgrade including new multi-way models," Chemometrics and Intelligent Laboratory Systems, vol. 173, pp. 21-29, 2018.
  • [28] M. Elwaseif et al., "A matlab-based frequency-domain electromagnetic inversion code (FEMIC) with graphical user interface," Computers & geosciences, vol. 99, pp. 61-71, 2017.
  • [29] U. Fidan, D. Tomar, P. G. Özdil, and E. Erzin, "A New Interface for Affective State Estimation and Annotation from Speech," in 2019 27th Signal Processing and Communications Applications Conference (SIU), 2019: IEEE, pp. 1-4.
  • [30] A. F. Boz and M. E. Çimen, "An Interface Design for Controlling Dead Time Systems Using PSO, CS and FA Algorithms," in 8th International Advanced Technologies Symposium (IATS’17), 2017.
  • [31] U. Arifoğlu, Matlab 7.14 Simulink-Mühendislik Uygulamalar. Alfa Yayınlar, 2016.
  • [32] Ö. Ediz, "Mimari Tasarımda Fraktal Kurguya Dayalı Üretken Bir Yaklaşım," PhD, FBE, İTÜ, İTÜ, 2003.
  • [33] M. E. Cimen, S. Kacar, E. Guleryuz, B. Gürevin, and A. Akgul, "Modeling of Chaotic Motion Video with Artificial Neural Networks," Co-chair, p. 193.
  • [34] C. Solomon and T. Breckon, Fundamentals of Digital Image Processing: A practical approach with examples in Matlab. John Wiley & Sons, 2011.
  • [35] M. E. Çimen, S. Kaçar, E. GÜLERYÜZ, B. Gürevin, and A. Akgül, "Kaotik bir hareket videosunun yapay sinir ağları ile modellenmesi," Balıkesir Üniversitesi Fen Bilimleri Enstitüsü Dergisi, vol. 20, no. 3, pp. 23-35, 2018.
  • [36] R. C. Gonzalez, R. E. Woods, and S. L. Eddins, Digital image processing using MATLAB. Pearson Education India, 2004.
  • [37] M. E. Cimen, Z. B. Garip, M. A. Pala, A. F. Boz, and A. Akgul, "Modelling of a Chaotic System Motion in Video with Artiıficial Neural Networks," Chaos Theory and Applications, vol. 1, no. 1, pp. 38-50.
Primary Language en
Subjects Engineering, Mechanical
Journal Section Research Articles
Authors

Orcid: 0000-0002-1793-485X
Author: Murat Erhan ÇİMEN (Primary Author)
Institution: Sakarya Uygulamalı Bilimler Üniversitesi
Country: Turkey


Orcid: 0000-0002-0420-8541
Author: Zeynep GARİP
Institution: SAKARYA UYGULAMALI BİLİMLER ÜNİVERSİTESİ
Country: Turkey


Orcid: 0000-0002-3292-2814
Author: Ömer Faruk BOYRAZ
Institution: SAKARYA UYGULAMALI BİLİMLER ÜNİVERSİTESİ
Country: Turkey


Orcid: 0000-0001-6107-655X
Author: İhsan PEHLİVAN
Institution: SAKARYA UYGULAMALI BİLİMLER ÜNİVERSİTESİ
Country: Turkey


Orcid: 0000-0003-1870-288X
Author: Mustafa Zahid YILDIZ
Institution: SAKARYA UYGULAMALI BİLİMLER ÜNİVERSİTESİ
Country: Turkey


Orcid: 0000-0001-6575-7678
Author: Ali Fuat BOZ
Institution: SAKARYA UYGULAMALI BİLİMLER ÜNİVERSİTESİ
Country: Turkey


Dates

Publication Date : June 30, 2020

APA Çimen, M , Garip, Z , Boyraz, Ö , Pehlivan, İ , Yıldız, M , Boz, A . (2020). An Interface Design for Calculation of Fractal Dimension . Chaos Theory and Applications , 2 (1) , 3-9 . Retrieved from https://dergipark.org.tr/en/pub/chaos/issue/53876/689145