A New Fabric-weave Design Method Based on Algebraic Operation

被引：0

作者：

Jin Yao ^{[1
]}

Zhang Yu ^{[1
]}

Xie Baozhu ^{[1
]}

机构：

[1] Zhejiang Sci Tech Univ, Coll Informat & Elect, Hangzhou 310018, Peoples R China

来源：

PROCEEDINGS OF THE 4TH INTERNATIONAL CONFERENCE ON PRODUCT INNOVATION MANAGEMENT, VOLS I AND II | 2009年

关键词：

fabric weave; algebraic operation; group; permutation; superposition;

D O I：

暂无

中图分类号：

F [经济];

学科分类号：

02 ;

摘要：

This paper introduces the mathematical concept of 'group' into fabric weave and presents a new fabric weave design method by algebraic operation principle. Firstly, on the basis of set theory and mapping relationship between the set of weft float serial numbers and the set of warp float serial numbers, it utilizes 'permutation' method to define fabric weave, and builds its mathematical model by group theory. Then, it defines multiplication operation and superposition operation between weaves, and investigates a method for design new weaves by these two algebraic operators. Finally, it discusses the method with some examples of application. The method explores a new digital way to represent and design fabric weave.

引用

页码：260 / 265

页数：6

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