The study on bivariate fractal interpolation functions and creation of fractal interpolated surfaces

被引：83

作者：

Xie, HP ^{[1
]}

Sun, HQ ^{[1
]}

机构：

[1] China Univ Min & Technol, Beijing Grad Sch, Beijing 100083, Peoples R China

来源：

FRACTALS-AN INTERDISCIPLINARY JOURNAL ON THE COMPLEX GEOMETRY OF NATURE | 1997年 / 5卷 / 04期

关键词：

D O I：

10.1142/S0218348X97000504

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper, the methods of construction of a fractal surface are introduced, the principle of bivariate fractal interpolation functions is discussed. The theorem of the uniqueness of an iterated function system of bivariate fractal interpolation functions is proved. Moreover, the theorem of fractal dimension of fractal interpolated surface is derived. Based on these theorems, the fractal interpolated surfaces are created by using practical data.

引用

页码：625 / 634

页数：10