中国传统冰裂纹样的交互式参数化建模与计算几何重构

贾黎明

包装工程(设计栏目) ›› 2026, Vol. 47 ›› Issue (14) : 258-268.

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包装工程(设计栏目) ›› 2026, Vol. 47 ›› Issue (14) : 258-268. DOI: 10.19554/j.cnki.1001-3563.2026.14.022
工业设计

中国传统冰裂纹样的交互式参数化建模与计算几何重构

  • 贾黎明*
作者信息 +

Interactive Parametric Modeling and Computational Geometric Reconstruction of Traditional Chinese Ice-crack Patterns

  • JIA Liming*
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文章历史 +

摘要

目的 针对传统冰裂纹样在数字化转译中存在的形态刻板、美学特征易流失的问题,探索一种兼顾生成灵活性与文化表征的参数化建模方法。方法 基于“受限泰森图”算法构建生成引擎,利用Python的scipy.spatial.Voronoi模块完成底层几何拓扑计算,并借助PyQt5开发实时调控界面。重点分析发生器点集的离散特征与纹样视觉密度、形态匀称度之间的数学映射关系,提出“人文干预-算法反馈”的交互机制,实现从几何生成到数字化制造(DXF/SVG格式输出)的全流程集成。结果 该方法在建筑设计与非遗数字建档中表现出良好的工程适应性,能够稳定输出符合传统审美特征的冰裂纹样,并支持灵活的参数调控与多场景应用。结论 研究建立了一种传统工艺定量化与参数化再生的可行技术路径,有效解决了数字化过程中灵活性与美学特征协同控制的难题,实现了预期目标。

Abstract

The work aims to propose a parametric modeling methodology that balances generative flexibility with cultural representation to address the issues of morphological rigidity and the loss of aesthetic authenticity inherent in the digital translation of traditional Chinese ice-crack patterns. A generative engine was constructed based on a "Constrained Voronoi Tessellation (CVT)" algorithm, utilizing the scipy.spatial.Voronoi module within Python for underlying geometric topological computation, integrated with a real-time control interface developed via PyQt5. This research focused on characterizing the mathematical mapping between the discrete distribution of generator point sets and the resulting pattern's visual density and morphological symmetry. By introducing a "Humanistic Intervention - Algorithmic Feedback" interaction mechanism, the methodology achieved a seamless pipeline from geometric generation to digital fabrication (supporting DXF/SVG format outputs). The proposed approach demonstrated robust engineering adaptability in architectural lattice design and the digital archiving of intangible cultural heritage, consistently yielding ice-crack patterns that aligned with traditional aesthetic standards while supporting flexible parameter modulation across diverse scenarios. Ultimately, this study establishes a viable technical path for the quantitative and parametric regeneration of traditional craftsmanship, effectively resolving the challenge of synergistic control between digital flexibility and aesthetic preservation, achieving the expected goal.

关键词

冰裂纹 / 泰森图算法 / Lloyd 弛豫 / 参数化设计 / 人机交互(HCI) / 数字遗产保护 / 计算几何

Key words

ice-crack pattern / Voronoi algorithm / Lloyd relaxation / parametric design / human-computer interaction (HCI) / digital heritage preservation / computational geometry

引用本文

导出引用1
贾黎明. 中国传统冰裂纹样的交互式参数化建模与计算几何重构[J]. 包装工程. 2026, 47(14): 258-268 https://doi.org/10.19554/j.cnki.1001-3563.2026.14.022
JIA Liming. Interactive Parametric Modeling and Computational Geometric Reconstruction of Traditional Chinese Ice-crack Patterns[J]. Packaging Engineering. 2026, 47(14): 258-268 https://doi.org/10.19554/j.cnki.1001-3563.2026.14.022
中图分类号: J524    TP391.72   

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基金

教育部产学合作协同育人项目(231003596151251); 教育部产学合作协同育人项目(231107038155758); 安徽省社会科学创新发展研究课题(2025KD012)

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