Kronecker积在变化绉组织设计中的应用

摘要

To improve the efficiency fur design crepe weave, the generation method of derivative, crepe weave matrix based on Kronecker product was studied. According to the design rule for derivative crepe weave, the weave matrix resulted from different methods such as embedding method, reinforcement method and replacement method to the prototype crepe weave was fulfilled by Kronecker product method. The results indicated that Kronecker product can be used to design derivative crepe weave based on embedding method, reinforcement method and replacement method conveniently and automatic generate crepe weave matrix with different styles due to different embedded weave, different reinforcement method or different replaced weave. This method extends design idea and provides an effective tool for crepe weave.%为提高绉组织的设计效率,提出一种基于矩阵Kronecker积的变化绉组织矩阵生成方法.按照变化绉组织设计的构作原理,对已有绉组织矩阵,运用Kronecker积分别实现了不同组织的相互嵌入、组织点加强以及组织点置换等变化绉组织矩阵的生成.结果表明:采用矩阵的Kronecker积运算,可以方便地实现基于嵌入法、加强法和置换法的变化绉组织矩阵的设计.研究结果显示,随嵌入组织不同、加强方法不同或置换组织不同,可生成风格各异的变化绉组织矩阵.该方法丰富了绉组织的设计思路,可提高设计效率.