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Minimum Modulus Visualization of Algebraic Fractals

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dc.contributor.authorFernández Galán, Severino
dc.date.accessioned2024-08-21T12:13:33Z
dc.date.available2024-08-21T12:13:33Z
dc.date.issued2023-08
dc.description.abstractFractals are a family of shapes formed by irregular and fragmented patterns. They can be classified into two main groups: geometric and algebraic. Whereas the former are characterized by a fixed geometric replacement rule, the latter are defined by a recurrence function in the complex plane. The classical method for visualizing algebraic fractals considers the sequence of complex numbers originated from each point in the complex plane. Thus, each original point is colored depending on whether its generated sequence escapes to infinity. The present work introduces a novel visualization method for algebraic fractals. This method colors each original point by taking into account the complex number with minimum modulus within its generated sequence. The advantages of the novel method are twofold: on the one hand, it preserves the fractal view that the classical method offers of the escape set boundary and, on the other hand, it additionally provides interesting visual details of the prisoner set (the complement of the escape set). The novel method is comparatively evaluated with other classical and non-classical visualization methods of fractals, giving rise to aesthetic views of prisoner sets.en
dc.description.versionversión final
dc.identifier.doihttps://doi.org/10.1016/j.cola.2023.101222
dc.identifier.issn2590-1184
dc.identifier.urihttps://hdl.handle.net/20.500.14468/23285
dc.journal.titleJournal of Computer Languages
dc.journal.volume76
dc.language.isoen
dc.publisherElsevier
dc.relation.centerFacultades y escuelas::E.T.S. de Ingeniería Informática
dc.relation.departmentInteligencia Artificial
dc.relation.isreferencedbyhttps://doi.org/10.21950/H1OBX1
dc.rightsinfo:eu-repo/semantics/openAccess
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/4.0/deed.es
dc.subject.keywordsComplex plane
dc.subject.keywordsiterated complex function
dc.subject.keywordsalgebraic fractal
dc.subject.keywordsvisualization
dc.subject.keywordsminimum modulus
dc.titleMinimum Modulus Visualization of Algebraic Fractalses
dc.typeartículoes
dc.typejournal articleen
dspace.entity.typePublication
relation.isAuthorOfPublicationa91aef9f-537b-41ae-a323-5a166ee934f6
relation.isAuthorOfPublication.latestForDiscoverya91aef9f-537b-41ae-a323-5a166ee934f6
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