纺织学报 ›› 2010, Vol. 31 ›› Issue (4): 45-49.

• 纺织工程 • 上一篇    下一篇

纱罗组织配色模纹数学模型的构建

张锐; 詹忻; 田伟; 祝成炎   

  1. 浙江理工大学,先进纺织材料与制备技术教育部重点实验室
  • 收稿日期:2009-03-26 修回日期:2009-08-24 出版日期:2010-04-15 发布日期:2010-04-15
  • 通讯作者: 祝成炎

Realization of mathematical model for Leno color effect

ZHANG Rui; ZHAN Xin; TIAN Wei; ZHU Chengyan   

  1. The Key Laboratory of Advanced Textile and Manufacturing Technology, Ministry of Education, Zhejiang Sci-Tech University
  • Received:2009-03-26 Revised:2009-08-24 Online:2010-04-15 Published:2010-04-15
  • Contact: ZHU Chengyan

摘要:

为实现纱罗组织配色模纹的计算机辅助设计,分析了纱罗组织配色模纹的形成原理。结果表明纱罗组织配色模纹外观的变化除了受组织图和色经、色纬循环影响之外,还受到绞综穿综图的制约,因此在建模过程中将其配色模纹分为组织图、色纬循环图、色经循环图和绞综穿综图4个部分,并建立了相应的矩阵。同时利用Kronecker积运算法,提出普通组织配色模纹的数学模型,在此基础上,建立了纱罗组织配色模纹的数学模型并验证该模型的正确性。此模型的建立为纱罗组织CAD辅助设计系统的实现提供了一定的理论参考。

Abstract:

In order to achieve the CAD for the leno color effect, this paper analyzed the forming principle of leno color effect firstly. It shows that the appearance of the color effect is not only changed by weave diagram and the order of colored warp and weft, but also by leno heddle lifting plan. So during the modeling process, the leno color effect is divided into weave diagram, order diagram of the colored warp, order diagram of the colored weft and leno heddle draft. The corresponding matrixes are set up. At the same time, using the Kronecker-product algorithms, we propose a mathematical model for the ordinary weave color effect. On the basis of the above works, the mathematical model for the leno color effect was established. Then we demonstrate the correctness of this model. This model provides a theoretical reference for the CAD system of leno weave.

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