中北大学学报（自然科学版）2012，Vol.33Issue(1)：56-59,4.DOI:10.3969/j.issn.1673-5193.2012.01.015
一类非线性分形插值曲面的构造与性质
Construction and Properties of a Class of Nonlinear Fractional Interpolation Surface
姜伟1
作者信息
- 1. 太原理工大学数学学院,山西太原030024
- 折叠
摘要
Abstract
The properties of amplitude and variation of the binary continuous function was discussed, and a class of nonlinear iterated function system of multiple arbitrary parameters was constructed. The uniqueness of the attractor and the existence of the fractal interpolation surface was proved under certain conditions. By using the properties of variation of the continuous function, the box-dimension of the constructed fractal interpolation surface was studied and the calculation formula of the box-dimension was given.关键词
非线性迭代函数系/分形插值/连续性/变差/维数Key words
nonlinear iterated function system/ fractional interpolation/ continuity/ variation/ box dimension分类
数理科学引用本文复制引用
姜伟..一类非线性分形插值曲面的构造与性质[J].中北大学学报（自然科学版）,2012,33(1):56-59,4.
