Generation of fractal curves using new binary 8-point interpolatory subdivision scheme
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Tarih
2024
Dergi Başlığı
Dergi ISSN
Cilt Başlığı
Yayıncı
Taylor & Francis Ltd
Erişim Hakkı
info:eu-repo/semantics/openAccess
Özet
The 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.
Açıklama
Anahtar Kelimeler
Interpolatory subdivision scheme, binary 8-point scheme, continuity, generation of fractal curves, fractal properties, 43-11, 39-11
Kaynak
Applied Mathematics in Science and Engineering
WoS Q Değeri
N/A
Scopus Q Değeri
N/A
Cilt
32
Sayı
1
