Textures usually are generated by computer. However, how to control the texture evolution to generate a large amount of beautiful, vivid textures with computer has become a very interesting and challenging problem in the research on computer graphics. A new normative expression which unifys all kinds of Arnold transformation and its inverse transformation is proposed. To extract some pattern of representation national style from xinjiang database, by normative expressions of the forward and inverse transformation of the pattern matrix, the process of texture generation are described and obtain a great of different style pattern. Whether forward transformation or inverse transformation, Arnold transformation can be calculated as the inverse matrix usually calculated as positive and negative transformation matrix, which cannot be limited on (mod N). And a method is extended to generate texture patterns of national style. The method is simple and easy to generate a large amount of different style patterns rapidly. Based on the introduction of the evolution generation of national pattern, more design style patterns are laid the foundation.%在计算机图形学研究中,为控制纹理演化过程,生成具有一定风格的纹理图案,在Arnold正变换基础上,通过合理推导得出规范的反变换表达式,统一了正反变换;从新疆民族图案中找出一些表征民族风格的图案,对其图案矩阵进行Arnold正反变换,描述图案演化过程,展示变换后矩阵获得不同风格图案.利用Arnold规范的正反变换,可以不受变换中(mod N)的限制,依此扩展生成不同风格的纹理图案.该方法简单易行,能通过矩阵正反变换快速地生成保持民族风格的纹理图案,奠定了风格图案的纹理构形基础.
展开▼
