基于形状文法的伊斯兰图案生成研究

摘要

为了解决二维参数化生成方法对图案风格难以表示的问题，论文以伊斯兰几何图案设计为例，对伊斯兰几何图案的生成规则进行了研究，提出了一种基于形状文法的二维图案生成算法。根据对伊斯兰几何图案的分析结果，得到大量组成伊斯兰图案的基本图元，并将其作为初始形状结合形状文法规则和仿射变换操作，实现具有伊斯兰风格的几何图案的绘制。该算法能快速灵活地生成大量伊斯兰几何图案，为下一步进行智能配色填充设计奠定了基础。%In order to solve the problem that 2D parametric generative methods can hardly demonstrate the pattern style ,this paper puts forward 2D generative algorithm based on shape grammar ,which is gained through researching on the generative rules of Islamic geometric by case study on Islamic geometric design .According to the analysis on Islamic geomet‐ric patterns ,large numbers of elements of Islamic patterns are obtained ,which are taken as initial shape combined with shape grammar rules and affine transform operation to achieve geometric patterns with the Islamic style .This algorithm can quickly and flexibly generate a large number of Islamic geometric patterns ,and lay the foundation for the design of intelligent color matching filled .