基于对称的随机图案生成方法

图案风格设计是图案生成的关键问题，针对新疆民族织物图案的特点，提出一种对称性和随机性相结合的图案生成方法．首先对导入的初始图案进行双线性插值运算，生成一个正三角形作为第一个等边纹样基元；然后通过正反120角旋转，扩展成两个等边基元．再利用对称和旋转变换把随机选择的不同等边纹样基元嵌入到六边形构型中，最后平铺六边形构型生成一幅新图案．该算法具有随机选择基元、堆砌对称构型和无缝平铺纹样的特点，大量计算机仿真实验也证实算法虽然简单，但是具有揭示新疆民族织物图案的对称、稠密特点，而且可以推广应用于广告图案以及服装设计等领域．

Generation Method of Random Pattern Based on Symmetry

To address how to use computer-digital patterns with the Characteristics design is a challenging problem. Taking the feature of Xinjiang Folk textile patterns as an example, a method is proposed in the paper to research generation a random pattern Triangle-based seamless to tile hexagonal. First, embedded pattern is transformed into a triangle as the first primitive using bilinear interpolation. Then, by positive and negative direction rotation of 120 angles, it is expanded into two equilateral primitives. A new design pattern is generated by tiling these equilateral primitives into the specified window which are randomly selected and transformed of geometric symmetry and rotation. There are the characteristics of random, symmetrical, and seamless tile in the proposed algorithm. The designing process validation was carried through experimental. The proposed method is closely keeping the national style of design, it has the nice generalization ability and a promising future in the digital design fields of Xinjiang Ethnic fabric pattern, advertisement and costume design.