A PRACTICAL METHOD FOR ESTIMATING FRACTAL DIMENSION

被引：105

作者：

JIN, XC ^{[1
]}

ONG, SH ^{[1
]}

JAYASOORIAH ^{[1
]}

机构：

[1] NATL UNIV SINGAPORE, DEPT ELECT ENGN, SINGAPORE 0511, SINGAPORE

来源：

PATTERN RECOGNITION LETTERS | 1995年 / 16卷 / 05期

关键词：

FRACTAL DIMENSION; SCALE LIMITS; TEXTURE ANALYSIS; IMAGE SURFACES;

D O I：

10.1016/0167-8655(94)00119-N

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

This paper describes a practical algorithm for estimating the fractal dimensions of textured images and discusses the scale limits for which it is applicable. The proposed method is an improvement over the differential box-counting method of Sarkar and Chaudhuri (1992, 1994). Computer generated image surfaces and natural textures are used to test our approach. The results confirm that our method is more accurate and efficient.

引用

页码：457 / 464

页数：8

共 16 条

[1]

Barnsley, Devaney, Mandelbrot, Peitgen, Saupe, Voss, The Science of Fractal Images, (1988)

[2]

Brodatz, Texture: A Photographic Album for Artists and Designers, (1966)

[3]

Chen, Keller, Crownover, On the calculation of fractal features from images, IEEE Trans. Pattern Anal. Machine Intell., 15, pp. 1087-1090, (1993)

[4]

Clarke, Computation of the fractal dimension of topographic surfaces using the triangular prism surface area method, Computers & Geosciences, 12, pp. 713-722, (1986)

[5]

Dubuc, On Estimating Fractal Dimension, M. Eng. Thesis, (1985)

[6]

Gangepain, Roques-Carmes, Fractal approach to two dimensional and three dimensional surface roughness, Wear, 109, pp. 119-126, (1986)

[7]

Huang, Lorch, Dubes, Can the fractal dimension of images be measured?, Pattern Recognition, 27, pp. 339-349, (1994)

[8]

Jin, Ong, Jayasooriah, Scale limits in estimating fractal dimensions of image surfaces, Proc. IEEE SICON/ICIE, pp. 470-473, (1993)

[9]

Keller, Crownover, Chen, Texture description and segmentation through fractal geometry, Computer Vison, Graphics, and Image Processing, 45, pp. 150-160, (1989)

[10]

Mandelbrot, Fractals: Form, Chance and Dimension, (1977)

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