A comparison of fractal dimension estimations for filled julia fractal sets based on the escape time algorithm

Basit Öğe Kaydı
dc.authorid0000-0001-9641-2066en_US
dc.contributor.authorMohammed, Arkan Jassim
dc.date.accessioned2024-07-12T20:46:44Z
dc.date.available2024-07-12T20:46:44Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThis 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.en_US
dc.identifier.citationMohammed, 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).en_US
dc.identifier.endpage030026-2en_US
dc.identifier.isbn978-0-7354-1816-5
dc.identifier.startpage030026-1en_US
dc.identifier.urihttps://aip.scitation.org/doi/10.1063/1.5095111
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1902
dc.institutionauthorMohammed, Arkan Jassim
dc.language.isoenen_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.isversionof10.1063/1.5095111en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01361
dc.subjectFractal dimensionen_US
dc.subjectFilledj ulia seten_US
dc.subjectCorrelation dimensionen_US
dc.subjectEscape time dimensionen_US
dc.titleA comparison of fractal dimension estimations for filled julia fractal sets based on the escape time algorithmen_US
dc.typeArticle
dspace.entity.typePublication

Dosyalar

Koleksiyon

İnsan ve Toplum Bilimleri Fakültesi Koleksiyonu