Cubic spline coalescence fractal interpolation through moments

被引：14

作者：

Chand, A. K. B. ^{[1
]}

Kapoor, G. P. ^{[1
]}

机构：

[1] Indian Inst Technol, Dept Math, Kanpur 208016, Uttar Pradesh, India

来源：

FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 2007年 / 15卷 / 01期

关键词：

iterated function systems; fractal interpolation functions; coalescence; cubic spline; moments; self-affine; non-self-affine; convergence;

D O I：

10.1142/S0218348X07003381

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper generalizes the classical cubic spline with the construction of the cubic spline coalescence hidden variable fractal interpolation function (CHFIF) through its moments, i.e. its second derivative at the mesh points. The second derivative of a cubic spline CHFIF is a typical fractal function that is self-affine or non-self-affine depending on the parameters of the generalized iterated function system. The convergence results and effects of hidden variables are discussed for cubic spline CHFIFs.

引用

页码：41 / 53

页数：13

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