HYBRID ALGORITHM FOR THE CLASSIFICATION OF FRACTAL DESIGNS AND IMAGES

Zhenhua Yu, Ayesha Sohail, Maryam Jamil, O. A. Beg and JOÃO MANUEL R. S. Tavares
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Zhenhua Yu: College of Computer Science and Technology, Institute of Systems Security and Control, Xi ’an University of Science and Technology, Xi ’an 710054, P. R. China
Ayesha Sohail: ��Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
Maryam Jamil: ��Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Lahore 54000, Pakistan
O. A. Beg: ��Department of Mechanical/Aeronautical Engineering, School of Science, Engineering & Environment (SEE), University of Salford, Manchester, UK
JOÃO MANUEL R. S. Tavares: �Instituto de Ciência e Inovação em Engenharia, Mecânica e Engenharia Industrial, Departamento de Engenharia Mecânica, Faculdade de Engenharia, Universidade do Porto, Porto, Portugal

FRACTALS (fractals), 2023, vol. 31, issue 10, 1-11

Abstract: The fractal patterns are recursive patterns and are self-similar in nature. The fractal geometry provides better understanding of natural patterns as compared to the Euclidean geometry. The fractal designs have been used extensively in the fields of applied sciences due to the systematic methods used for their generation. These methods provide benchmarks to analyze the roughness, narrow/broad vision of the objects. In the fields of architecture and design, computational methods for fractal generation can prove to be more reliable tools. The fractal patterns can be simulated and the architecture can be modeled, with several options, before implementing it practically. During this research, this strategy is opted to design novel fractal tile designs. Several designs are selected from a series of simulations, based on the final visionary evaluation, according to the requirement of the walls of different zones in modern buildings. Four fractal patterns are simulated with several orientations and final designs are documented with corresponding geometrical evaluation.

Keywords: Fractals; Tile Design; Geometry Processing; Computational Framework; Simulations (search for similar items in EconPapers)
Date: 2023
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DOI: 10.1142/S0218348X23400030

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