| 关于由双曲迭代函数系所得分形插值函数的维数 |
| |
| 引用本文： | Yana.,M 孙炯.关于由双曲迭代函数系所得分形插值函数的维数[J].内蒙古大学学报(自然科学版),1994,25(3):244-252. |
| |
| 作者姓名： | Yana. M 孙炯 |
| |
| 作者单位： | 日本大学齿学部 |
| |
| 摘 要： | 本文是对于由一组二维双曲迭代函数系（ＨＩＦＳ）所确定的分形插值变换所得到的吸引子（其图形是连续的插值分形），在一定的参数条件下，经过细致地分析和计算，对它们的维数给出两种新的定义和计算途径．
|
| 关 键 词： | 插值函数 分形插值函数 维数 |
On the Dimensions of Fractal Interpolation FunctionsDefined by Hyperbolic Iterated Function Systems |
| |
| Minoru Yanagawa Sun Jiong,Fu Shouzhong.On the Dimensions of Fractal Interpolation FunctionsDefined by Hyperbolic Iterated Function Systems[J].Acta Scientiarum Naturalium Universitatis Neimongol,1994,25(3):244-252. |
| |
| Authors: | Minoru Yanagawa Sun Jiong Fu Shouzhong |
| |
| Abstract: | Many definitions of fractal dimensions have been found out to determine thedegree of irregularity of the fractals,they are able to quantify a subjective felling whichwe have about how densely the fractal occupies the metric space.In this paper,we givesome alternative definitions and calculation methods of the fractal dimension to the fractalinterpolation function, which are defined by a hyperbolic iterated function system(HIFS). |
| |
| Keywords: | fractal dimension interpolation function hyperbolic iterated functionsystem |
| 本文献已被 CNKI 维普 等数据库收录！ |
