非线性Julia集的复迭代生成原理及丝绸印花图案设计

On Compound Iteration Generation Principle of the Nonlinear Julia Sets and the Pattern Design in Silk Printing

Julia集是研究复平面中初始点集的轨迹动力学性态,具有分形自相似特性.通过对Julia集生成原理的研究,清晰且快速地掌握其生成流程中的数学背景.进一步改变其阶数、常数、缩放值、颜色参数及配色算法,可产生许多变化多样、造型奇特的应用型图形.并探讨应用Julia集图形进行丝绸印花图案设计的途径.

Julia sets study the trajectory dynamics of the initial point set on the complex plane, which have fractal self-similar characteristics. The study of the principles of the Julia set generation enables clear and rapid mastery of its mathematic background in the process. The further alteration of the order number, constant, scaling value, color parameters and matching algorithm produces variably and peculiarly molded graphics. This paper mainly addresses the application of Julia set graphics to the pattern design in silk printing.