一种新的二元有理样条分形插值  

A new bivariate rational spline fractal interpolation

作　　者：蒋凤仪 许静 JIANG Fengyi;XU Jing(Chengdu University of Technology,Chengdu 610051,China)

机构地区：[1]成都理工大学,成都610051

出　　处：《计算机应用文摘》2022年第22期93-97,共5页Chinese Journal of Computer Application

摘　　要：文章基于传统的双三次有理样条插值,将分形插值函数视为高度函数的分形扰动,提出了一种有理样条迭代函数系统,由此得到一种分子、分母均为三次的双变量有理样条分形插值函数,且给出了该插值函数的矩阵表示形式,并通过计算机仿真实验探究了尺度因子和形状参数对插值曲面形状的影响。Based on the traditional bicubic rational spline interpolation,the fractal interpolation function is regarded as the fractal perturbation of the height function,and a rational spline iterative function system is proposed.From this,a bivariate rational spline fractal interpolation function with cubie numerator and denominator is obtained.The matrix representation of the interpolation function is given,and the influence of scale factor and shape parameters on the shape of the interpolation surface is explored through computer simulation experiments.

关 键 词：有理样条 分形插值 函数逼近 

分 类 号：O174[理学—数学]