Abstract:

Objective The four-sided continuous pattern, as a core decorative form in silk textiles, exemplifies the traditional weaving design due to its cyclic extensibility and compatibility with weaving techniques. Current research on the traditional brocade patterns primarily focuses on individual textile types or specific motifs, lacking systematic digital exploration and quantitative analysis. There remains significant potential for deeper geometric analysis and generative practices. To enhance the efficiency of digital reconstruction and innovative design for four-sided continuous patterns in the Chinese traditional brocade, this study proposes a parametric deconstruction and regeneration method, enabling rapid pattern generation while preserving their inherent mathematical aesthetics.
Method Through data collection and analysis, this study identifies typical configurations of the traditional brocade patterns, extracting universal forms of element composition, layering, and arrangement. A mathematical model of pattern rhythm is established, forming the theoretical and data foundation for parametric generation. This study employs Processing, a programming language, to develop a parametric generation system for traditional brocade patterns. Using object-oriented programming, pattern elements are transformed into adjustable parametric modules, facilitating rapid pattern reconstruction. This approach retains the mathematical and aesthetic essence of the traditional patterns while exploring innovative designs through algorithmic iteration.
Results Based on the three categories of four-sided continuous patterns, i.e. linked, scattered and overlapping, this study reveals three key structural elements, namely base textures, floral motifs, and skeletal frameworks, and identifies four critical parameters (λ₁=0.094±0.061, λ₂=0.403±0.070, λ₃=0.262±0.057, and λ₄=0.089±0.020) as quantitative references for parametric generation and innovative design validation. A parametric generation system is developed by modularizing base textures, floral motifs, and skeletal frameworks. The positional and dimensional control of modules within a unit cycle is achieved, while motif shaping is governed by the formulae refined from the research. Pattern scaling is implemented by adjusting cycle iteration parameters. The system successfully generates 11 commonly linked patterns and demonstrates high-fidelity parametric reconstruction of scattered and overlapping patterns, exhibiting both restoration accuracy and computational efficiency. Furthermore, by integrating design methodology with constraints derived from the mathematical model of pattern rhythm, the system enables rapid generation of innovative patterns while maintaining adjustable layouts and seamless tiling capabilities. This approach not only preserves the traditional aesthetic principles but also facilitates efficient design iteration and pattern adaptation.
Conclusion This study provides a systematic deconstruction and quantitative analysis of traditional brocade patterns, establishing a theoretical basis for parametric modeling. The developed object-oriented program enables automated generation of linked, scattered, and overlapping patterns, incorporating the traditional base designs and allowing for modular imports of floral and skeletal motifs. The system facilitates rapid reconstruction and innovative design, offering practical guidance for digital pattern management. Its applications extend to enterprise-level pattern database construction and digital heritage preservation, contributing to the sustainable development of traditional brocade art. Future research can be enhanced in both material and functional dimensions. Material-wise, the system could be expanded by incorporating innovative design elements, extended color schemes, and advanced geometric arrangement rules. Functionally, improvements could be focused on optimizing the random retrieval of design components and randomized color generation algorithms. These advancements are likely deepening the research scope and broaden application possibilities, enabling the traditional patterns to exhibit greater vibrancy in the digital era.

Key words: four-sided continuous pattern, traditional brocade, parameterization, pattern reconstruction, pattern design, Tianhua brocade, Song brocade