Hybrid algorithm for the classification of fractal designs and images

YU, ZHENHUA; SOHAIL, AYESHA; JAMIL, MARYAM; BEG, O. A.; Tavares, JMRS

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.

Citation

YU, Z., SOHAIL, A., JAMIL, M., BEG, O. A., & Tavares, J. (in press). Hybrid algorithm for the classification of fractal designs and images. Fractals, https://doi.org/10.1142/s0218348x23400030

• Journal Article Type: Article
• Acceptance Date: Sep 25, 2022
• Online Publication Date: Sep 16, 2023
• Deposit Date: Jan 10, 2023
• Publicly Available Date: Sep 17, 2024
• Journal: Fractals
• Print ISSN: 0218-348X
• Electronic ISSN: 1793-6543
• Publisher: World Scientific Publishing
• DOI: https://doi.org/10.1142/s0218348x23400030
• Keywords: Applied Mathematics, Geometry and Topology, Modeling and Simulation