doi: 10.17706/ijapm.2018.8.4.105-111
Fractal Generation by 7-Point Binary Approximating Subdivision Scheme
Mehwish Bari
1
,
,
- 1 National College of Business Administration and Economics, Sub-Campus, Bahawalpur, Punjab, Pakistan
- 2 The Islamia University of Bahawalpur, Pakistan.
Abstract
In this paper, fractal properties of 7-point binary approximating subdivision scheme are presented. It is shown by the graphical presentation that the 7-point binary approximating scheme is helpful for fitting 2-dimensional data and has elegant well designed properties. Ranges of parameter are also defined to obtain fractals which lie inside and outside of the convex hull. Due to the parametric range, we can easily handle the limit curve according to our own choice. Since the given scheme is approximating, so we can get better smoothness as compare to interpolating scheme. Some numerical examples have been presented to fit the data points. It has been observed that 7-point scheme is quite suitable for fitting data points and a good selection for construction of fractals for the modeling purpose of decoration pieces and fabric designing etc. Nowadays one major approach of fractal is the generation of fractal antennas which are very helpful in the cell phone companies.
Keywords
- Approximation
- data fitting
- fractal
- subdivision
How to Cite
Mehwish Bari, Ghulam Mustafa, and Abid Hussain, "Fractal Generation by 7-Point Binary Approximating Subdivision Scheme," International Journal of Applied Physics and Mathematics, vol. 8, no. 4, pp. 105-111, 2018. https://doi.org/ 10.17706/ijapm.2018.8.4.105-111
Copyright & License
Copyright © 2018 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).