Mohammed, Arkan Jassim2024-07-122024-07-122019Mohammed, A. J. (2019). A comparison of fractal dimension estimations for filled julia fractal sets based on the escape time algorithm. International Conference of Mathematical Sciences. s. 030026(1)-030026(2).978-0-7354-1816-5https://aip.scitation.org/doi/10.1063/1.5095111https://hdl.handle.net/20.500.12415/1902This paper aim to introduce a method for computing the dimension of a filled Julia fractal set generated by the Escape Time Algorithm using the method of spreading the points inside the proposed window. The resulting dimension is called the Escape Time dimension. A method for computing a correlation dimension for the filled Julia fractal set is also proposed based on the Grassberger-Procaccia algorithm and computing the correlation function. A log-log graph of the correlation function versus the distances between every pair of points in the filled Julia fractal set is an approximation of the correlation dimension. Finally, a comparison between these two fractal dimensions of the filled Julia fractal set generated by Escape Time Algorithm is presented to show the efficiency of the proposed method.enCC0 1.0 Universalinfo:eu-repo/semantics/openAccessFractal dimensionFilledj ulia setCorrelation dimensionEscape time dimensionArticle030026-2030026-1