基于三角函数牛顿迭代图形的提花织物纹样设计

摘要

A novel jacquard pattern design method is proposed by using the mathematical principle of Newton iteration. Using nonlinear scientific visualization, the method creates the fractal graph of general Newton iteration with triangle function forms, controls the graphics by varying parameters, and produces series of graphics Based on the triangle function Newton iteration design ways are investigated by computer graphics techniques with Microsoft Visual C++6.0 ,re-designing the graphics of general Newton iteration and jacquard pattern testing. Some meaningful conclusions are obtained in this article.%运用牛顿迭代的数学原理,提出一种提花织物纹样的设计方法.该方法运用非线性科学可视化设计手段,对三角函数形式的广义牛顿迭代的分形图形生成原理以及通过参数控制其图形变化,由此产生系列图形的方法进行初步研究.在此基础上利用VC++16.0开发工具,运用计算机图形技术,通过牛顿迭代图形的二次设计,借助电子提花实验,对在提花纹样设计中应用三角函数牛顿迭代图形的方法进行了初步的探讨,从而获得了几点有益的启示.