Fitting Errors of Fractal Interpolation for Bivariate Continuous Functions

被引：0

作者：

Wang, Hongyong ^{[1
]}

Ji, Jiabing ^{[1
]}

机构：

[1] Nanjing Univ Finance & Econ, Sch Appl Math, Nanjing 210003, Peoples R China

来源：

PROCEEDINGS OF THE 2010 INTERNATIONAL CONFERENCE ON APPLICATION OF MATHEMATICS AND PHYSICS, VOL 2: ADVANCES ON APPLIED MATHEMATICS AND COMPUTATION MATHEMATICS | 2010年

关键词：

iterated function system; fractal interpolation function; fitting error; SURFACES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Based on a given bivariate continuous function, an iterated function system (IFS) is firstly constructed. It is proved that the attractor of the constructed IFS is a bivariate fractal interpolation function (FIF) which interpolates the given set of data. We use the FIF to fit the given bivariate continuous function and study the problem of fitting errors. The upper estimates of errors are given in the sense of two metrics.

引用

页码：222 / 227

页数：6

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