Abstract:

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.

Key words: style pattern, texture generation, Arnold forward and inverse transformation, normative expression