纺织学报 ›› 2023, Vol. 44 ›› Issue (06): 191-199.doi: 10.13475/j.fzxb.20220308901

• 服装工程 • 上一篇    下一篇

居里叶分形在艾德莱斯裙装图案设计中的应用

许晗, 沈雷(), 陈涵   

  1. 江南大学 设计学院, 江苏 无锡 214122
  • 收稿日期:2022-03-25 修回日期:2022-10-31 出版日期:2023-06-15 发布日期:2023-07-20
  • 通讯作者: 沈雷
  • 作者简介:许晗(1998—),女,硕士生。主要研究方向为服饰设计与文化。
  • 基金资助:
    国家重点研发计划项目(2019YFB1405700);教育部人文社会科学研究规划基金项目(20YJAZH087);江苏省研究生科研与实践创新计划项目(KYCX20_1891)

Application of Julia fractal set on design of Adras dress pattern

XU Han, SHEN Lei(), CHEN Han   

  1. School of Design, Jiangnan University, Wuxi, Jiangsu 214122, China
  • Received:2022-03-25 Revised:2022-10-31 Published:2023-06-15 Online:2023-07-20
  • Contact: SHEN Lei

摘要:

为解决民族特色服饰图案高开发需求与传统设计方法不匹配问题,以维吾尔族艾德莱斯图案为例,提出图案创新设计方法。通过实地考察、文献研读等方式,挖掘艾德莱斯图案背后蕴藏的历史文化内涵并进行分类。提炼其线稿并对元素进行拆解与重组,得到新图案单元。运用居里叶分形理论、计算机算法辅助图案创作,提出艾德莱斯裙装分形图案设计模型。通过新建集合、调节指数、代入公式、叠加算法、添加代表性色彩与图案、分形渲染等步骤完成9组图案设计。从色彩特征、元素特征、结构特征与文化意蕴4个维度对图案进行模糊综合评价,并在Style 3D软件平台上进行艾德莱斯裙装建模以验证其可行性。结果表明,基于居里叶分形理论的艾德莱斯图案设计模型具有较好的实践应用价值,可为其它民族图案的传承与创新提供研究思路与方法参考。由该方法创作出的艾德莱斯裙装图案能够兼具时尚艺术特色与民族文化底蕴。

关键词: 民族服饰, 艾德莱斯图案, 居里叶分形, 图案设计模型, 服装数字化, 非物质文化遗产

Abstract:

Objective The emerging culture of ethnic fashion has changed the consumption behaviour of modern people, and clothing products with a sense of fashion and ethnic are attracting attention from consumers. However, traditional design methods are unable to meet the high demand for the development of ethnic fashion patterns. In order to deal with the mismatch between the high demand for the development of ethnic fashion patterns and traditional design methods, a pattern innovation design method was proposed in this research, taking the Uyghur Adras pattern as an example.
Method Through fieldwork and literature research, the historical and cultural connotations behind the Adras patterns were collected and classified. The first step was to refine the line drawings according to the different categories. The classic elements were dismantled and reorganised using shape grammar to obtain new pattern units. Following this, the K-means analysis method was used to create clusters and to extract colours, and to summarise the typical colours of the Adras. Finally, Julia fractal theory and computer algorithms are used to construct models to aid pattern creation.
Results The Adras dresses are divided into skirts and dresses in terms of style. The patterns of the skirt and dress are categorised into two types of pattern composition, the "川" pattern and the "米" pattern. The "米" structure is centred on the collar or waist and spreads out around the plate, while the "川" pattern is arranged in a diagonal pattern along the longitudinal or diagonal direction (Fig. 8). The paper focuses on the composition of the "米" pattern in the skirt, combining it with the highly similar structure of the Julia fractal theory. The best symmetry order index ranges from 8 to 40. When the index is less than 8, it does not constitute a "米" structure yet. When the index is between 8 and 40, the complexity and exquisiteness of the pattern varies with the value. When the index is greater than 40, the details of the pattern decrease with the increase of the index (Fig. 10). A scientific and systematic pattern design system was proposed in this paper aiming to establish the Adras dress fractal pattern design model (Fig. 11). The model includes steps such as creating a new collection, adjusting the symmetry order index, substituting the formula, superimposing the algorithm, adding representative colours and patterns, and fractal rendering. The J-set model with symmetry order indices of 8, 22 and 40 was selected for further design in the new set. Exponential smoothing mappings, inverse mappings, Newton's formulae and superimposing various algorithms were substituted to obtain nine sub-models with completely different forms and effects. Adding Adras innovative pattern units and typical colours, the final rendering resulted in 9 sets of pattern designs.
Conclusion In order to transform the qualitative evaluation into a quantitative one, a fuzzy comprehensive evaluation of the designed pattern was carried out using a five-level scale criterion in four dimensions, i.e. color features, elemental features, structural features and cultural connotations. The modeling of the Adras dress was also carried out on the Style 3D software platform to verify its feasibility. The results show that the design model of the Adras pattern based on Julia fractal theory has good practical application value and helps the inheritance, innovation and development of the Uyghur culture in the digital era. At the same time, it can also provide research ideas and methodological references for the inheritance and innovation of other ethnic patterns. The Adras dress pattern created by this method can combine both fashionable artistic characteristics and ethnic cultural heritage.

Key words: national costume, Adras pattern, Julia set, pattern design model, clothing digitization, intangible cultural heritage

中图分类号: 

  • TS941.26

图1

艾德莱斯绸"

图2

艾德莱斯绸图案分类与元素提取"

图3

巴旦木纹演变过程"

图4

艾德莱斯代表性图形单元演变"

图5

3个样本图及其对应的k-SSE曲线图"

图6

3幅图案映像群集分区展示"

表1

色彩占比及其RGB值"

图像
组别
分区色
彩序号
样本色彩
占比/%
样本色
彩名称
RGB值
第1组 色彩1 50.69 (40,52,53)
色彩2 30.30 浅石灰 (237,234,235)
色彩3 19.01 枪灰 (134,134,135)
第2组 色彩4 47.48 (219,88,79)
色彩5 29.40 橘色 (238,151,106)
色彩6 23.12 杏黄 (251,215,155)
第3组 色彩7 34.56 浅钴蓝 (210,206,220)
色彩8 28.52 腮红 (214,96,114)
色彩9 22.59 深绿 (87,123,102)
色彩10 14.33 黄绿 (218,199,119)

图7

艾德莱斯图案色彩提取与筛选"

图8

图案结构走向示意 (a) "川" shape pattern; (b)"米" shape pattern"

图9

p值一定时不同q值设定下的J集模型"

图10

根据指数值变化的J集模型及其映射图形"

图11

艾德莱斯裙装分形图案设计模型"

图12

艾德莱斯裙装分形图案制作"

表2

问卷结果统计"

艾德莱斯
特征
非常不明显
v1
不明显
v2
一般
v3
明显
v4
非常明显
v5
色彩特征u1 0 0.02 0.17 0.49 0.32
元素特征u2 0.02 0.05 0.19 0.58 0.16
结构特征u3 0.01 0.06 0.15 0.51 0.27
文化意蕴u4 0 0.02 0.08 0.54 0.36

图13

虚拟模特与板片排布设计"

图14

艾德莱斯裙装图案数字化呈现效果"

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