Generation of fractal curves using new binary 8-point interpolatory subdivision scheme

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dc.contributor.authorGhaffar, Abdul
dc.contributor.authorJaved, Sadia
dc.contributor.authorMustafa, Ghulam
dc.contributor.authorAkgul, Ali
dc.contributor.authorHassani, Murad Khan
dc.date.accessioned2024-12-24T19:28:27Z
dc.date.available2024-12-24T19:28:27Z
dc.date.issued2024
dc.departmentSiirt Üniversitesi
dc.description.abstractThe subdivision scheme is a valuable tool for designing shapes and representing geometry in computer-aided geometric design. It has excellent geometric properties, such as fractals and adjustable shape. In this research paper, we explore the generation of fractal curves using a novel binary 8-point interpolatory subdivision scheme with two parameters. We analyse different properties of the proposed scheme, including convergence, special cases, and fractals. Additionally, we demonstrate through various examples the relationship between the shape parameters and the fractal behaviour of the resulting curve. Our research also identifies a specific range of shape parameters that can effectively produce fractal curves. The findings of this study provide a fast and efficient method for generating fractals, as demonstrated by numerous examples. Modelling examples show that the 8-point interpolatory scheme can enhance the efficiency of computer design for complex models.
dc.identifier.doi10.1080/27690911.2024.2367718
dc.identifier.issn2769-0911
dc.identifier.issue1
dc.identifier.scopus2-s2.0-85197341499
dc.identifier.scopusqualityN/A
dc.identifier.urihttps://doi.org/10.1080/27690911.2024.2367718
dc.identifier.urihttps://hdl.handle.net/20.500.12604/7063
dc.identifier.volume32
dc.identifier.wosWOS:001255638600001
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherTaylor & Francis Ltd
dc.relation.ispartofApplied Mathematics in Science and Engineering
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_20241222
dc.subjectInterpolatory subdivision scheme
dc.subjectbinary 8-point scheme
dc.subjectcontinuity
dc.subjectgeneration of fractal curves
dc.subjectfractal properties
dc.subject43-11
dc.subject39-11
dc.titleGeneration of fractal curves using new binary 8-point interpolatory subdivision scheme
dc.typeArticle

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