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

JIA Liming

doi:10.19554/j.cnki.1001-3563.2026.14.022

PDF(1806 KB)

Packaging Engineering ›› 2026, Vol. 47 ›› Issue (14) : 258-268. DOI: 10.19554/j.cnki.1001-3563.2026.14.022

Industrial Design

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

JIA Liming^*

Author information +

History +

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.

Key words

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

Cite this article

EndNote

Ris (Procite)

Bibtex

Download Citations

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

References

[1] 周健儿, 梁铎, 吴隽, 等. “冰裂纹”青瓷的研制及形成机理研究[J]. 人工晶体学报, 2011, 40(4): 1076-1082.
ZHOU J E, LIANG D, WU J, et al.Study on the Formation Mechanism and Preparation of Ice Crackle Celadon[J]. Journal of Synthetic Crystals, 2011, 40(4): 1076-1082.
[2] 计成. 园冶——中国古代园林、别墅营造珍本[M]. 胡天寿译, 注. 重庆: 重庆出版社, 2009: 118.
JI C.Yuanye: A Rare Classic on Ancient Chinese Garden and Villa Construction[M]. Chongqing: Chongqing Publishing Group, 2009: 118.
[3] OKABE A.Spatial Tessellations: Concepts and Applications of Voronoi Diagrams[M]. 2nd ed. Chichester: Wiley, 2000: 197-202.
[4] 亚历克斯·贝洛斯, 埃德蒙德·哈里斯. 美丽数学——一本探索数学之美的涂色书[M]. 王作勤, 译. 合肥: 中国科学技术大学出版社, 2016: 4-6.
BELLOS A, HARRIS E.Beautiful Mathematics: A Coloring Book Exploring the Beauty of Mathematics[M]. WANG Z Q, Translated. Hefei: University of Science and Technology of China Press, 2016: 4-6.
[5] 贾翠, 苗建民. 宋代汝官窑釉面冰裂纹的特征观察及机理探析[J]. 南方文物, 2016(2): 225-230.
JIA C, MIAO J M.Characteristic Observation and Mechanism Analysis on Glaze with the Ice Crack in Official Ru Kilns in the Song Dynasty[J]. Cultural Relics in Southern China, 2016(2): 225-230.
[6] 刘干平, 谈梅英, 李刘旒. 从实践到理论——冰裂纹青瓷形成机理的探索与发现[J]. 中国陶瓷工业, 2023, 30(3): 28-32.
LIU G P, TAN M Y, LI L L.From Practice to Theory—Exploration and Discovery of the Formation Mechanism of Ice Crack Celadon Porcelain[J]. China Ceramic Industry, 2023, 30(3): 28-32.
[7] 郑静宜, 张丹, 张丹倪. 冰裂纹研究分析及其在服装面料图案设计中的应用[J]. 轻纺工业与技术, 2023, 52(2): 77-79.
ZHENG J Y, ZHANG D, ZHANG D N.Research and Analysis of Ice Crack and Its Application in Garment Fabric Pattern Design[J]. Light and Textile Industry and Technology, 2023, 52(2): 77-79.
[8] 刘晓谦, 刘雪霖. 冰裂纹元素应用于新中式童装的设计探索[J]. 辽宁丝绸, 2024(4): 51-52.
LIU X Q, LIU X L.Application of Ice Crack Elements in the Design of New Chinese Children's Wear[J]. Liaoning Tussah Silk, 2024(4): 51-52.
[9] 吉国华. 传统冰裂纹的数字生成[J]. 新建筑, 2015(5): 28-30.
JI G H.Digital Generation of Chinese Ice-Ray Lattice Designs[J]. New Architecture, 2015(5): 28-30.
[10] 李至惟, 张森. 以明式家具为例的中国传统纹样数字化建构策略研究[J]. 包装工程, 2024, 45(12): 482-490.
LI Z W, ZHANG S.Digital Construction Strategy of Traditional Chinese Patterns with Ming-Style Furniture as an Example[J]. Packaging Engineering, 2024, 45(12): 482-490.
[11] ALEGRÍA C, MANTAS I, PAPADOPOULOU E, et al. The Voronoi Diagram of Rotating Rays with Applications to Floodlight Illumination[EB/OL].2023: arXiv: 2304.11429. https://arxiv.org/abs/2304.11429
[12] MANTAS I, PAPADOPOULOU E, SILVEIRA R I, et al.The Farthest Color Voronoi Diagram in the Plane[J]. Algorithmica, 2025, 87(10): 1393-1419.
[13] BÁLINT C, BÁN R, VALASEK G. Computing the Cut Locus, Voronoi Diagram, and Signed Distance Function of Polygons[J]. Computer Aided Geometric Design, 2024, 114: 102388.
[14] HU Y X, JIANG L, CHEN K, et al.Optimized Voronoi Diagram Path Planning Based on a Ray Model[J]. Journal of Mechanical Science and Technology, 2025, 39(1): 353-361.
[15] SONG C, LEE M, CHOI S, et al.Benchmark Dataset for the Voronoi Diagram of 3D Spherical Balls[J]. Data in Brief, 2022, 45: 108605.
[16] AURENHAMMER F.Voronoi Diagrams—A Survey of a Fundamental Geometric Data Structure[J]. ACM Computing Surveys, 1991, 23(3): 345-405.
[17] LEE D T, SCHACHTER B J.Two Algorithms for Constructing a Delaunay Triangulation[J]. International Journal of Computer & Information Sciences, 1980, 9(3): 219-242.
[18] HARWANI B M.Qt5 Python GUI Programming Cookbook[M]. Birmingham, UK:Packt Publishing Ltd. 2018:240-255
[19] DU Q, FABER V, GUNZBURGER M.Centroidal Voronoi Tessellations: Applications and Algorithms[J]. SIAM Review, 1999, 41(4): 637-676.
[20] 杨冰云, 闫丽霞, 张甜,等. 蒙古族团花纹数字化创新设计研究[J]. 包装工程, 2024, 45(4): 235-243.
YANG B Y, YAN L X, ZHANG T, et al.Research on Digital Innovative Design of Mongolian Round Floral Patterns[J]. Packaging Engineering, 2024, 45(4): 235-243.
[21] CHEN J Y, ZHANG P, CHENG Y S, et al.On the Crushing Response of the Functionally Graded Metallic Foams Based on 3D Voronoi Model[J]. Thin-Walled Structures, 2020, 157: 107085.