Ömer Faruk BOYRAZ, Ali Fuat BOZ, Murat Erhan ÇİMEN, Mustafa Zahid YILDIZ, İhsan PEHLİVAN, Zeynep BATIK GARİP

An Interface Design for Calculation of Fractal Dimension

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.

PDF

___

Alik, B., 2015 Mimarlıkta tasarlama yöntemleri ve fraktal tasarımlar üzerine bir inceleme. Arifo ˘glu, U., 2013 Matlab 7.14 Simulink-Mühendislik Uygulamaları. Alfa Yayınları.
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.
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.
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.
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, IEEE.
Folch-Fortuny, A., F. Arteaga, and A. Ferrer, 2016 Missing data imputation toolbox for matlab. Chemometrics and Intelligent Laboratory Systems 154: 93–100.
Genç, C., 2019 Fraktal Geometri ile Sanatsal Pratikler. Master’s thesis, Güzel Sanatlar Enstitüsü.
Gonzalez, R. C., R. E. Woods, and S. L. Eddins, 2004 Digital image processing using MATLAB. Pearson Education India.
González-Martínez, J., J. Camacho, and A. Ferrer, 2018 Mvbatch: A matlab toolbox for batch process modeling and monitoring. Chemometrics and Intelligent Laboratory Systems 183: 122–133.
Hanhan, I. and M. D. Sangid, 2019 Modlayer: A matlab gui drawing segmentation tool for visualizing and classifying 3d data. Integrating Materials and Manufacturing Innovation 8: 468–475.
Huang, J., 2019 Signal analysis based on matlab-gui. In Journal of Physics: Conference Series, volume 1314, p. 012185, IOP Publishing.
˙Ilhan, C., 2019 Kent dokusu morfolojik de ˘gi¸siminin fraktal geometri aracılı ˘gıyla hesaplanması: Bursa örne ˘gi. Mimarlık ve Ya¸sam 4: 117–140.
Jara-Muñoz, J., D. Melnick, K. Pedoja, and M. R. Strecker, 2019 Terracem-2: A matlab® interface for mapping and modeling marine and lacustrine terraces. Frontiers in Earth Science 7: 255.
Kırcı, P. and E. A. Bayrak, 2019 The application of fractal analysis on thyroid ultrasound images. Acta Infologica 3: 83–90.
Kis, B., M. Unay, G. D. Ekimci, U. K. Ercan, and A. Akan, 2019 Counting bacteria colonies based on image processing methods. In 2019 Medical Technologies Congress (TIPTEKNO), pp. 1–4, IEEE.
Mazivila, S. J., S. A. Bortolato, and A. C. Olivieri, 2018 Mvc3_gui: A matlab graphical user interface for third-order multivariate calibration. an upgrade including new multi-way models. Chemometrics and Intelligent Laboratory Systems 173: 21–29.
ÖNCEL, A. O. and Ö. ALPTEK˙IN, 1995 Fraktal da ˘gılım ve sismolojideki uygulamaları. Jeofizik Dergisi 9. Pham, Q. L., D. Chege, T. Dijamco, M. Surblyte, A. Naik, et al., 2019 Open-source matlab-based graphical user interface (gui) for computer control of microscopes using micro-manager. arXiv preprint arXiv:1904.13231 .
Sertöz, S., 1996 Matemati˘gin aydınlık dünyası. Türkiye Bilimsel ve Teknik Ara¸stırma Kurumu.
Sezer, A., A. B. Göktepe, and S. Altun, 2007 Temel dayanımının fraktal boyut ile incelenmesi .
Solomon, C. and T. Breckon, 2011 Fundamentals of Digital Image Processing: A practical approach with examples in Matlab. John Wiley & Sons.
Ufuktepe, Ü. and ˙I. Aslan, 2002 Fraktal geometriden bir kesit. ˙Izmir Yüksek Teknoloji Enstitüsü Matematik Dünyası Dergisi 11: 14– 20.
Uyar, A. and D. Öztürk, 2017 Fraktal analizin yeryüzü ara¸stırmalarında kullanılması. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi 17: 147–155.
Vardhana, M., N. Arunkumar, S. Lasrado, E. Abdulhay, and G. Ramirez-Gonzalez, 2018 Convolutional neural network for bio-medical image segmentation with hardware acceleration. Cognitive Systems Research 50: 10–14.
Yılmaz, D., 2013 Do ˘ganın Fraktal Geometrisi. Master’s thesis. Yu, L., D. Zhang, K. Wang, and W. Yang, 2005 Coarse iris classification using box-counting to estimate fractal dimensions. Pattern Recognition 38: 1791–1798.