一类具有函数垂直比例因子的分形插值曲面  

A class of fractal interpolation surfaces with function vertical scaling factors

作　　者：彭涛[1] 冯志刚[1] 

机构地区：[1]江苏大学理学院,江苏镇江212013

出　　处：《江苏科技大学学报（自然科学版）》2010年第6期615-618,共4页Journal of Jiangsu University of Science and Technology:Natural Science Edition

基　　金：国家自然科学基金资助项目(10771088)

摘　　要：构造了一类具有函数垂直比例因子的迭代函数系,证明了它有唯一的吸引子.给定一组插值结点集,证明了吸引子是经过该插值结点集的分形插值曲面,即吸引子是某二元连续函数的图像.这类迭代函数系与传统迭代函数系相比,在生成分形插值曲面时更加方便,条件也更简单.A class of iterated function system with function vertical scaling factors was constructed,and the only attractor generated by IFS（iterated function system） was proved.According to the given interpolation nodes,it was proved that the attractor was a fractal interpolation surface of throngh-inter-polation nodes,and it was the graph of fractal interpolation function.Comparison with traditional IFS,the IFS is convenient and simple in generation of fractal interpolation surface.

关 键 词：迭代函数系 吸引子 分形插值曲面 

分 类 号：O184[理学—数学]