基于数学方法的伊斯兰图案设计研究

摘要

为了丰富图案的表现形式，拓展传统图案的设计思路，为设计师提供更便捷的设计方法和途径。首先，运用科学可视化方法，对部分数学公式形成图形的原理和方法进行研究。然后通过对伊斯兰图案的特点和传统作图方法的分析，运用计算机辅助设计，对数学模型中各个参数的控制生成一系列的基础图形，结合平面设计、图像处理软件等对生成的图形实现对伊斯兰图案的模拟，做出能够运用到织物上的纹样图案。结果表明，利用数学方法可以实现对传统经典图案的设计创造，设计出既经典又时尚的图案。%In order to enrich the demonstrating approaches for pattern forms and to expand design ideas for traditional pattern and provide more convenient design methods for designers. Firstly, the principle and method of the graphics formation by some mathematical formulas were studied by scientific visualization method. And then, the characteristic of Islamic pattern and the traditional drawing method were analyzed, and with computer to aide design and control of various parameters in mathematical model, a series of basic graphics were generated﹔ in combing graphic design, image processing software and other tools, simulations on the generated Islamic patterned were made, from which applicable patterns for fabric can be made. All these have fully reflected that the use of mathematical methods can achieve creative design of the traditional classical pattern, both classical and fashionable patterns can be created.