SELF-SIMILAR FRACTAL SETS - THEORY AND PROCEDURE

被引：8

作者：

CASEY, SD ^{[1
]}

REINGOLD, NF ^{[1
]}

机构：

[1] AT&T BELL LABS,COMP PRINCIPLES RES DEPT,MURRAY HILL,NJ 07947

来源：

IEEE COMPUTER GRAPHICS AND APPLICATIONS | 1994年 / 14卷 / 03期

关键词：

Algorithms - Approximation theory - Computer software - Computers - Geometry - Iterative methods - Mathematical models - Numerical analysis - Set theory;

D O I：

10.1109/38.279048

中图分类号：

TP31 [计算机软件];

学科分类号：

081202 [计算机软件与理论]; 0835 [软件工程];

摘要：

The presented algorithm generates approximations of self-similar fractal sets. The algorithm is based on a pattern rewriting system that draws a geometric pattern repeatedly after suitable mappings. A program developed from the algorithm reproduces Mandelbrot's self-similar fractals. We begin by discussing fractals and dimension theory, then present the algorithm, and conclude by using fractal set theory to calculate the dimensions of self-similar sets from their generators. © 1994 IEEE.

引用

页码：73 / 82

页数：10

共 13 条

[1]

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[2]

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[3]

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[4]

Falconer K.J., 2014, FRACTAL GEOMETRY MAT

[5]

Falconer KJ., 1985, GEOMETRY FRACTAL SET, DOI 10.1017/CBO9780511623738

[6]

FEDERER H, 1969, GEOMETRIC MEASURE TH

[7]

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[8]

FRACTALS AND SELF SIMILARITY [J].

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[9]

Mandelbrot B., 1983, FRACTAL GEOMETRY NAT, V173

[10]

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