Automatic Generation Method of Turtle Back Pattern Based on Mathematical Rules

doi:10.13190/j.jbupt.2021-100

Journal of Beijing University of Posts and Telecommunications ›› 2022, Vol. 45 ›› Issue (4): 110-115.doi: 10.13190/j.jbupt.2021-100

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Automatic Generation Method of Turtle Back Pattern Based on Mathematical Rules

ZHAO Haiying, XIE Guangpeng, GAO Zihui

School of Artificial Intelligence, Beijing University of Posts and Telecommunications, Beijing 100876, China

Received:2021-06-07 Online:2022-08-28 Published:2022-09-03

Abstract

Abstract: Turtle back pattern is a kind of Chinese folk decorative pattern, generally hexagonal continuous geometric pattern. By analyzing the rules of turtle back pattern composition, a new algorithm of traditional folk pattern generation is proposed. Firstly, the most basic elements of turtle ridges (called primitives) are analyzed, and the basic elements of primitives are obtained according to the symmetry of different primitives. Then by rotating the basic elements to obtain primitives, and tiling primitives to obtain the entire turtle back pattern. By defining symbols and parameterizing the generating process of primions, a general generating formula of tortoise back pattern is obtained. The simulation results show that the tortoisesback patterns with different details can be generated by adjusting the parameters of the generating formula.

Key words: pattern generation, turtle grain, basic pattern generation, pattern parameterization

CLC Number:

TN911.22

ZHAO Haiying, XIE Guangpeng, GAO Zihui. Automatic Generation Method of Turtle Back Pattern Based on Mathematical Rules[J]. Journal of Beijing University of Posts and Telecommunications, 2022, 45(4): 110-115.

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