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ISSN:2394-3661 | Crossref DOI | SJIF: 5.138 | PIF: 3.854

International Journal of Engineering and Applied Sciences

(An ISO 9001:2008 Certified Online and Print Journal)

A New Approach for Finding Correlation Dimension Based on Escape Time Algorithm

( Volume 3 Issue 9,September 2016 ) OPEN ACCESS
Author(s):

Dr.Arkan Jassim Mohammed, Noora Ahmed Mohammed

Abstract:

There are many technique to approximate the dimension of fractal sets. A famous technique to approximate the fractal dimension is correlation dimension. In this paper, we propose a new approach to compute the correlation dimension of fractals generated by the Escape Time Algorithm (ETA) and computing the correlation function by Grassberger-Procaccia method, was implemented using the Matlab program. A log –log graph is plotted by matlab program, the result will be an approximate polynomial of degree one (straight line) that’s fits the data in a least square method. The correlation dimension of fractal object is the slope of this straight line.

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