基于多项式变换的迭代函数系统  

Iterative function system based on polynomial transformation

作　　者：刘树群[1] 刘罗生[1] 

机构地区：[1]兰州理工大学计算机与通信学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2011年第1期81-85,共5页Journal of Lanzhou University of Technology

摘　　要：在分析IFS构建方法后,运用几何方法给出一类用多项式表示的非线性变换形式,并构造迭代函数系统,利用该方法构造的迭代函数系统绘制一些IFS的吸引子分形图进行实验.结果表明,非线性变换构造的迭代函数系统是仿射变换构造的迭代函数系统的一种延伸,该变换构造的IFS可以获得更加生动多样的IFS吸引子分形图.研究此类迭代函数系统可以为非线性交互式分形造型生成算法的研究提供一定的参考依据.After analyzing the construction method of IFS,a class of nonlinear transformation expressed in term of polynomial was given by means of geometric approach and the iterative function system was constructed.By using this system,some IFS fractal diagrams of attractors were drawn and tested.The result showed that the iterative function system constructed in this way would be a kind of extension of the IFS constructed with mapping approach,and the images were produced more elaborately and diversified.The research on this kind of IFS would provide a certain basis for the interactive fractal modeling algorithm of nonlinear iterative function system.

关 键 词：迭代函数系统 非线性变换 分形 多项式 

分 类 号：TP391[自动化与计算机技术—计算机应用技术]