Journal of Textile Research ›› 2020, Vol. 41 ›› Issue (09): 54-58.doi: 10.13475/j.fzxb.20190903505

• Textile Engineering • Previous Articles     Next Articles

Application of chair-tiling approach for fabric weave design

JIN Yao1,2, CAI Tenghao1, LI Caiman1, HU Yali3, LU Jialiang4, WANG Yi5()   

  1. 1. College of Information Science and Technology, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
    2. Engineering Research Center of Clothing of Zhejiang Province, Zhejiang Sci-Tech University, Hangzhou,Zhejiang 310018, China
    3. Informatization Office, Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
    4. College of Textiles Science and Engineering(International Institute of Silk),Zhejiang Sci-Tech University, Hangzhou, Zhejiang 310018, China
    5. School of Artistic Design and Creation,Zhejiang University City College, Hangzhou, Zhejiang 310015, China
  • Received:2019-09-10 Revised:2020-03-22 Online:2020-09-15 Published:2020-09-25
  • Contact: WANG Yi E-mail:wangyi@zucc.edu.cn

Abstract:

To enrich the varieties of fabric weaves and expand its design space, the idea of tilings from the areas of mathematics and art is introduced and a chair-tiling approach for fabric weave design was experimented on. Based on the expansion-subdivision strategy, the space quad-tree was used to construct multi-layer chair tilings, creating space layout for fabric weaves. The space structure is tessellated with the designed tile-weave using geometric symmetry transformations, which led to the creation of the chair-tiling weaves. The simulation algorithm of the weave design method was implemented with C++ programming language and the research shows that the designed fabric weaves has some similarity with fractal fabric weaves such as self-similarity as well as hierarchical nesting and also holds its own special features, e.g. local symmetries and orderliness in the midst of disorder. This research demonstrated a new method for digitized design of fabric weaves.

Key words: chair tilings, fabric weave design, aperiodic tiling, digitized design

CLC Number: 

  • TS146.4

Fig.1

Examples of periodic (a) and aperiodic (b) tilings"

Fig.2

Tiles (a) and tling structure (b) of chair tilings"

Fig.3

Procedure of generating chair-tiling weaves. (a) Tiling structure; (b) Tile weave; (c) Tiling weave"

Fig.4

Tiling structures of upper right corner under different transformations. (a) Transformation 1;(b) Transformation 2; (c) Transformation 3"

Fig.5

Chair-tiling weaves with different tiling layers"

Fig.6

Chair-tiling weaves with different tiling structures. (a) Without transformation; (b) Transformation 1;(c) Transformation 2; (d) Transformation 3"

Fig.7

Chair-tiling weaves with different tiling structures. (a) Tiling weave 1; (b) Tiling weave 2;(c) Tiling weave 3"

Fig.8

Chair-tiling weaves with special tiling structures. (a) Weave with large weave points; (b) Fret weave"

[1] KAPLAN Craig S. Introductory tiling theory for computer graphics[J]. Synjournal Lectures on Computer Graphics and Animation, 2009,4(1):113.
[2] LU Peter J, STEINHARDT Paul J. Decagonal and quasi-crystalline tilings in medieval Islamic architec-ture[J]. Science, 2007,315(5815):1106-1110.
pmid: 17322056
[3] CHUNG K W, CHAN H S Y, WANG B N. Automatic generation of nonperiodic patterns from dynamical systems[J]. Chaos, Solitons and Fractals, 2004,19(5):1177-1187.
[4] OUYANG Peichang, FATHAUER Robert W. Beautiful math:part 2: aesthetic patterns based on fractal tilings[J]. IEEE Computer Graphics and Applications, 2014,34(1):68-76.
doi: 10.1109/MCG.2014.6 pmid: 24808170
[5] JOSÉ Ezequiel Soto Sánchez, ASLA Medeiros e Sá, LUIZ Henrique de Figueiredo. Acquiring periodic tilings of regular polygons from images[J]. The Visual Computer, 2019,35:899-907.
doi: 10.1007/s00371-019-01665-y
[6] 邹玉茹, 李文侠, 鲁坚. Chair Tilings非周期艺术图案的生成[J]. 计算机辅助设计与图形学学报, 2006,18(4):498-501.
ZOU Yuru, LI Wenxia, LU Jian. Generation of Chair Tilings aperiodic aesthetic patterns[J]. Journal of Computer-aided Design & Computer Graphics, 2006,18(4):498-501.
[7] HANN M A. Structure and form in textile design: curriculum and bibliography[J]. Journal of The Textile Institute, 2018,109(3):285-293
[8] 施国生, 胡觉亮. 对称性原理在织物组织设计中的应用[J]. 浙江工程学院学报, 2000,17(3):155-157.
SHI Guosheng, HU Jueliang. Application of symmetry principle in fabric weave design[J]. Journal of Zhejiang Institute of Science and Technology, 2000,17(3):155-157.
[9] 赵良臣, 闻涛. 旋转组织设计的数学原理[J]. 纺织学报, 2003,24(6):33-34.
ZHAO Liangchen, WEN Tao. Mathematical principle of rotating weave design[J]. Journal of Textile Research, 2003,24(6):33-34.
[10] 施国生, 张瑜秋, 熊超. 图像变换在多臂织物组织设计上的应用[J]. 纺织学报, 2006,27(7):23-26.
SHI Guosheng, ZHANG Yuqiu, XIONG Chao. Application of image transformation technique on dobby fabric weave design[J]. Journal of Textile Research, 2006,27(7):23-26.
[11] 张聿, 金耀, 孙家武, 等. 基于 L 系统的织物分形组织设计方法[J]. 纺织学报, 2007,28(5):51-54.
ZHANG Yu, JIN Yao, SUN Jiawu, et al. Design method of fabric fractal weave based on L-system[J]. Journal of Textile Research, 2007,28(5):51-54.
[12] 张聿, 金耀, 岑科军. 基于 IFS 的非规则分形组织设计方法[J]. 纺织学报, 2012,33(12):30-34.
ZHANG Yu, JIN Yao, CEN Kejun. Method of designing irregular fractal weave based on IFS[J]. Journal of Textile Research, 2012,33(12):30-34.
[13] 马铃琳, 张聿. 各层基础组织互异的分形组织设计方法[J]. 丝绸, 2013,50(9):45-49.
MA Linglin, ZHANG Yu. Design method of fractal weave with diverse basic weaves in different layers[J]. Journal of Silk, 2013,50(9):45-49.
[14] 章平, 张聿. 同层仿射分形织物的设计方法[J]. 丝绸, 2014,51(12):35-38.
ZHANG Ping, ZHANG Yu. Design method of fractal fabrics of affinity in the same layer[J]. Journal of Silk, 2014,51(12):35-38.
[15] 熊丽丽, 张聿. 基于斜纹基本组织的回纹分形组织设计方法[J]. 丝绸, 2015,52(1):31-34.
XIONG Lili, ZHANG Yu. Design method of fret fractal weave based on twill weave[J]. Journal of Silk, 2015,52(1):31-34.
[16] 熊宇龙, 张华熊, 鲁佳亮, 等. 基于扩展分形模型的织物组织设计方法[J]. 浙江理工大学学报, 2018,39(3):341-345.
XIONG Yulong, ZHANG Huaxiong, LU Jialiang, et al. Fabric-weave design method based on extended fractal model[J]. Journal of Zhejiang Sci-Tech University, 2018,39(3):341-345.
[17] 金耀, 张聿. 织物组织的群表达方法[J]. 纺织学报, 2010,31(6):48-51.
JIN Yao, ZHANG Yu. Studies on fabric weave representation by group theory[J]. Journal of Textile Research, 2010,31(6):48-51.
[1] SHI Guo-sheng;ZHANG Yu-qiu;XIONG Chao. Application of image transformation technique on dobby fabric weave design [J]. JOURNAL OF TEXTILE RESEARCH, 2006, 27(7): 23-26.
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