复平面上分形图的生成及在纺织品上的应用

Generation of fractal image on complex plane and its application in textiles

为了拓展分形图在纺织图案设计上的应用,探索纺织图案设计的快捷方法,为设计者提供更丰富、新颖的设计素材。首先,根据复平面上分形图的生成方法与程序编写,运用编程软件Visual Basic6.0,分别研究复平面上Mandelbrot集与Julia集的生成方法,实现其可视化。然后通过改变迭代函数的形式得到一系列变化分形图,结合图像处理、平面设计软件等对得到的分形图进行纹样设计和效果模拟,利用印花技术将分形纹样应用于纺织品上。结果表明,基于分形图的纺织图案设计更加适应快捷、高效、多变的纺织生产模式。

This paper aims to expand the application of fractal graph in textile pattern design,explore a convenient method of textile pattern design,and provide designers with more abundant and novel design materials. Firstly,according to the generation method and programming of fractal graph on complex plane,the method of generating Mandelbrot set and Julia set on complex plane was studied with Visual Basic 6. 0,with a view to realizing visualization thereof. Secondly,a series of variation fractal graphs were obtained by changing the form of iterative function,pattern design and effect simulation of the obtained fractal graphs were conducted with image processing and graphic design software,and the fractal patterns were applied in textiles with printing technology. The results show that textile pattern design based on fractal graph is more suitable for the fast,efficient and changeable textile production mode.