A comparison of fractal dimension estimations for filled julia fractal sets based on the escape time algorithm
Küçük Resim Yok
Tarih
2019
Yazarlar
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Maltepe Üniversitesi
Erişim Hakkı
CC0 1.0 Universal
info:eu-repo/semantics/openAccess
info:eu-repo/semantics/openAccess
Özet
This 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.
Açıklama
Anahtar Kelimeler
Fractal dimension, Filledj ulia set, Correlation dimension, Escape time dimension
Kaynak
International Conference of Mathematical Sciences
WoS Q Değeri
Scopus Q Değeri
Cilt
Sayı
Künye
Mohammed, 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).
