摘要
本文针对［０．１］组织矩阵间的映射关系．建立了织物组织设计的数学模型──二元域上７种基本映射构成的非结合代数。并从实用出发，扩展了数模中的映射生成集，使其覆盖了组织设计中常用的变化手段，且以Ｋｒｏｎｅｃｋｅｒ积为例，说明数模映射生成集在组织ＣＡＤ中的应用潜力。
In the light of the mapping bettween [0,1]matrices of fabric weaves,we establish in this paper a mathematical model for fabric weave design-one type of non-associative algebn composed of 7 basic transformations in a 2-element field. In view of practice,we expand the generative set of mapping of this mathematical model to cover the general transformation methods in weave design. Taking Kronecker product as an example, we furthermore illustrate applied potentialities of the generative set of mapping in fabic weave CAD.
出处
《苏州丝绸工学院学报》
1995年第1期14-23,共10页
Journal of Suzhou Institute of Silk Textile Technology
关键词
织物组织
设计
CAD
数学模型
Fabric weave CAD, [0, 1]matrix of fabric weaves, mapping set, non associative algebra, Kronecker product.
