Pattern design of textile printing based on the transform of the Julia set

The Julia set is a very important fractal set. According to the principle of the Julia set, the great number of patterns is generated by use of the computer visualization technology. However the majority of the patterns, which develop at present, were developed by the standard form and the generalized form that contain higher powers and trigonometric function. There are still many transform mode of the Julia sets were not developed. This paper will be studied based on this problem. It begins to develop from basic transform mode of the Julia set. Adopt different mathematical transform methods, which contains combination, superposition, exchange of the variable location, and transform of calculation symbol and parameters, a lot of fine patterns were generated by using computer graphical method. The results of this research are very applied to the pattern design of textile printing in the paper.