限制域上分形插值函数的参数界定

吉林大学学报(理学版)

限制域上分形插值函数的参数界定

王宏勇, 栗兴琴

南京财经大学应用数学学院, 南京 210023

收稿日期:2016-03-02 出版日期:2016-09-26 发布日期:2016-09-19
通讯作者: 王宏勇 E-mail:98wanghy@njue.edu.cn

Parameter Identification of Fractal Interpolation Function in Restricted Domain

WANG Hongyong, LI Xingqin

School of Applied Mathematics, Nanjing University of Finance & Economics, Nanjing 210023, China

Received:2016-03-02 Online:2016-09-26 Published:2016-09-19
Contact: WANG Hongyong E-mail:98wanghy@njue.edu.cn

摘要/Abstract

摘要：

考虑带有函数纵向尺度因子的分形插值函数在限制域上的参数界定问题, 给出了函数纵向尺度因子应满足的条件, 使相应的分形插值函数被限制在一个给定的区域内. 并给出一些数值实例, 展示了在限制域上分形插值函数图像与参数变化之间的关系.

关键词: 分形插值函数, 迭代函数系, 函数纵向尺度因子, 参数界定

Abstract:

We considered the problem of parameter identification of the fractal interpolation functions (FIFs) with function vertical scaling factors in the restricted domain, and gave some of sufficient conditions that function vertical scaling factors should be satisfied, so that the corresponding FIFs were restricted to a given range. Furthermore, we gave some numerical examples to illustrate the relationship between the graphs of the FIFs and the variable parameters in the restricted domain.

Key words: fractal interpolation function, iterated function system, function vertical scaling factor, parameter identification

中图分类号:

O174.4

王宏勇, 栗兴琴. 限制域上分形插值函数的参数界定[J]. 吉林大学学报(理学版), 2016, 54(05): 977-982.

WANG Hongyong, LI Xingqin. Parameter Identification of Fractal Interpolation Function in Restricted Domain[J]. Journal of Jilin University Science Edition, 2016, 54(05): 977-982.