CAJ | 학술논문

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.
위실현사라조직배색모문적계산궤보조설계,분석료사라조직배색모문적형성원리.결과표명사라조직배색모문외관적변화제료수조직도화색경、색위순배영향지외,환수도교종천종도적제약,인차재건모과정중장기배색모문분위조직도、색위순배도、색경순배도화교종천종도4개부분,병건립료상응적구진.동시이용Kronecker적운산법,제출보통조직배색모문적수학모형,재차기출상,건립료사라조직배색모문적수학모형병험증해모형적정학성.차모형적건립위사라조직CAD보조설계계통적실현제공료일정적이론삼고.
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.