The Theory of Fractal Interpolated Surface and Its Applications

Xie Heping; Sun Hongquan

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 1998 > 19(4): 297-306

Xie Heping, Sun Hongquan. The Theory of Fractal Interpolated Surface and Its Applications[J]. Applied Mathematics and Mechanics, 1998, 19(4): 297-306.

Citation:

Xie Heping, Sun Hongquan. The Theory of Fractal Interpolated Surface and Its Applications[J]. Applied Mathematics and Mechanics, 1998, 19(4): 297-306.

Citation:

Xie Heping, Sun Hongquan. The Theory of Fractal Interpolated Surface and Its Applications[J]. Applied Mathematics and Mechanics, 1998, 19(4): 297-306.

PDF( 462 KB)

The Theory of Fractal Interpolated Surface and Its Applications

Institute of Fractal Mechanics, Beijing Graduate School, China University of Mining and Technology, Beijing 100083, P.R.China

Received Date: 1996-11-22
Rev Recd Date: 1997-09-01
Publish Date: 1998-04-15

Abstract

Abstract

In this paper the principle of construction of a fractal surface is introduced,interpolation functions for a fractal interpolated surface are discussed,the theorem of the uniqueness of an iterated function system of fractal interpolated surface is proved,the theorem of fractal dimension of fractalinterpolated surface is derived,and the case that practical data are used to interpolate fractal surface is studied.
- fractal geometry,
- higher dimension fractals,
- fractal interpolated surface,
- fractal dimension

FullText(HTML)

References(9)

References

[1]	M.F.Barnsley and S.G.Demko,Iterated function systems and the global construction of fractals,Proc.of the Royal Soc.London,A39(1986),243-275.
[2]	M.F.Barnsley,Fractal Every where,Academic Press,Orlando.FL.(1988),172-247.
[3]	曾文曲、王向阳等,《分形理论与分形的计算机模拟》,东北大学出版社(1993),74-105.
[4]	胡瑞安、胡纪阳、徐树公,《分形的计算机图象及其应用》,中国铁道出版社(1995),61-85.
[5]	宋万寿、杨晋吉,一种地表造型方法,小型微型计算机系统,17(3) (1996),32-36.
[6]	Xie Heping,Fractals in Rock Mechanics,A.A.Balkema Publishers,Netherlands (1993),70-78.
[7]	B.B.Mandelbrot,The Fractal Geometry of Nature,W.H.Freeman,New York (1982),361-366.
[8]	J.Feder,Fractals,Plenum Press,New York (1988),212-228.
[9]	齐东旭,《分形及其计算机生成》,科学出版社(1994),70-72.