Minimum Modulus Visualization of Algebraic Fractals

Fernández Galán, Severino . (2023) Minimum Modulus Visualization of Algebraic Fractals. Journal of Computer Languages (2023) 76, 101222

Ficheros (Some files may be inaccessible until you login with your e-spacio credentials)
Nombre Descripción Tipo MIME Size
Fernandez_Galan_Severino_Minimum.pdf Fernandez_Galan_Severino_Minimum.pdf application/pdf 2.01MB

Título Minimum Modulus Visualization of Algebraic Fractals
Autor(es) Fernández Galán, Severino
Materia(s) Informática
Ingeniería Informática
Abstract Fractals 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.
Palabras clave Complex plane
iterated complex function
algebraic fractal
visualization
minimum modulus
Editor(es) Elsevier
Fecha 2023-08
Formato application/pdf
Identificador bibliuned:95-Sfernandez-0005
http://e-spacio.uned.es/fez/view/bibliuned:95-Sfernandez-0005
DOI - identifier https://doi.org/10.1016/j.cola.2023.101222
ISSN - identifier 2590-1184
Nombre de la revista Journal of Computer Languages
Número de Volumen 76
Publicado en la Revista Journal of Computer Languages (2023) 76, 101222
Idioma eng
Versión de la publicación acceptedVersion
Tipo de recurso Article
Derechos de acceso y licencia http://creativecommons.org/licenses/by-nc-nd/4.0
Tipo de acceso Acceso abierto
Notas adicionales La versión registrada de este artículo, publicada por primera vez en SJournal of Computer Languages (2023) 76, 101222, está disponible en línea en el sitio web de la editorial: Elsevier, https://doi.org/10.1016/j.cola.2023.101222
Notas adicionales The registered version of this article, first published in SJournal of Computer Languages (2023) 76, 101222, is available online at the publisher's website: Elsevier, https://doi.org/10.1016/j.cola.2023.101222

 
Versiones
Versión Tipo de filtro
Contador de citas: Google Scholar Search Google Scholar
Estadísticas de acceso: 62 Visitas, 5 Descargas  -  Estadísticas en detalle
Creado: Wed, 10 Apr 2024, 17:49:28 CET