安徽大学学报（自然科学版）2009，Vol.33Issue(5)：17-20,4.
一类多参数分形插值曲面迭代函数系
A class of iterated function systems of fractal interpolation surfaces with multiparameters
摘要
Abstract
In the three-dimensional space, we constructed a class of iterated function systems(IFSs) with multiparameters. Compared to the traditional IFSs, which have only one family of free parameters, the constructed IFSs have more flexibility. Under certain conditions, we proved that the attractors of those IFSs were the fractal interpolation surfaces (FISs) passing through the given interpolation data. We investigated the continuous dependency of the FISs with respected to multiparameters, and gave a specific example for FISs, which intuitively showed the configurations under different parameters. The results of the work provided a theoretical basis for the fitting of rough surfaces and non stable data by using FISs with multiparameters.关键词
迭代函数系/吸引子/多参数/分形插值曲面Key words
iterated function system/ attractor/ multiparameters/ fractal interpolation surface分类
数理科学引用本文复制引用
季家兵,王宏勇..一类多参数分形插值曲面迭代函数系[J].安徽大学学报（自然科学版）,2009,33(5):17-20,4.基金项目
江苏省高校自然科学基金资助项目(07KJD110065) （07KJD110065）
南京财经大学学位与研究生教育基金资助项目(Y0813) （Y0813）
