迭代函数系统IFS码的获取方法及实现  

Methods of Obtaining IFS Parameters and Its Realization Based on Iterated Function System

作　　者：何瑾[1] 张国峰[1] 戴树岭[1] 

机构地区：[1]北京航空航天大学虚拟现实技术与系统国家重点实验室,北京100191

出　　处：《计算机仿真》2010年第8期222-226,共5页Computer Simulation

摘　　要：迭代函数系统(IFS)是分形理论的一种重要的方法。根据迭代函数系统的基本理论,针对提取IFS分形码方法过程复杂、存在困难的问题,提出了轮廓多点法。方法在原图与拼贴图上沿图形轮廓提取多个对应的特征点,组成超定方程组求取近似解,从而得到仿射变换的IFS码。最后给出了算法及由该方法得到的二维分形图示例,并通过参数表与其他方法进行对比。实验证明方法获取的IFS码更加准确,达到了微调IFS码的目的,生成的分形图更加逼真。The Iterated Function System（IFS） is an important and applied branch of fractal theory.It describes the fundamental theory of IFS.Based on the analysis of current methods,aiming at the key problem namely obtaining the IFS parameters,a method named multidots-contour is given.This method picks-up multi-dots along the contour of original and mosaic graphics to construct over determined equations,solves them and gets the parameters.Several 2D fractal images built by this method and the algorithm were demonstrated.The result can be shown through the comparison between two diagrams.The method has been proved to regulate the parameters slightly and the parameters gained are more specified.The graphs generated through this method are more vivid.

关 键 词：分形 迭代函数系统 仿射变换 参数 

分 类 号：TP391.4[自动化与计算机技术—计算机应用技术]