Fractal Dimension by Slope Dimention Method

Abha kumari; Anil kumar Mahato; Nand Kishore Agarwal

doi:https://doi.org/10.14445/22315373/IJMTT-V45P514

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 45 | Number 2 | Year 2017 | Article Id. IJMTT-V45P514 | DOI : https://doi.org/10.14445/22315373/IJMTT-V45P514

Fractal Dimension by Slope Dimention Method

Abha kumari, Anil kumar Mahato, Nand Kishore Agarwal

Abstract

An important feature of fractal geometry is that it can measure fractional dimension i.e dimension between integers. In this paper, box counting method has been applied to determine the dimension of ECG of a heart. Slope of the regression line could give the box–counting dimension i.e a Fractal dimension.

Keywords

Fractal, dimension.

References

[1]Benoit B.Mandelbrot,Les objects fractals, forme, hazard et dimension . Paris: Flammarion, 1975.
[2]K. Falconer (1990), Fractal Geometry: Mathematical Foundations and Applications, John Wiley & Sons, N. s
[3] Benoit B. Mandelbrot, How Long Is the Coast of Britain?Statistical Self-Similarity and Fractional Dimension. Science, Vol. 156:636–638, 1967
[4]Jhon Roe, Elementry geometry, Oxford University Press, 2003. ISBN 0-19-853456-6.
[5]Gerald A. Edgar, Measure, Topology and Fractal Geometry, Springer-verlag, first edition,1990 . ISBN 0-38797-272-2

Citation :

Abha kumari, Anil kumar Mahato, Nand Kishore Agarwal, "Fractal Dimension by Slope Dimention Method," International Journal of Mathematics Trends and Technology (IJMTT), vol. 45, no. 2, pp. 86-89, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V45P514