On calculation of fractal dimension of images

被引：102

作者：

Bisoi, AK ^{[1
]}

Mishra, J ^{[1
]}

机构：

[1] OUAT, Coll Engn & Technol, Dept Comp Sci & Applicat, Bhubaneswar 751002, Orissa, India

来源：

PATTERN RECOGNITION LETTERS | 2001年 / 22卷 / 6-7期

关键词：

box-counting; fractal dimension; IFS generated fractal images;

D O I：

10.1016/S0167-8655(00)00132-X

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

Fractal geometry has gradually established its importance in the study of image characteristics. There are many techniques to estimate the dimensions of fractal surfaces. A famous technique to calculate fractal dimension is the grid dimension method popularly known as box-counting method. In this paper, we have found out a lower bound of the box size and provided the reason for having it. The study indicates the need for limiting the box sizes within certain bounds. (C) 2001 Elsevier Science B.V. All rights reserved.

引用

页码：631 / 637

页数：7

共 14 条

[1]

Bisoi A. K., 1999, Machine Graphics & Vision, V8, P77

[2] TEXTURE SEGMENTATION USING FRACTAL DIMENSION [J].

CHAUDHURI, BB ;

SARKAR, N .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1995, 17 (01) :72-77

[3] SHAPE FROM FRACTAL GEOMETRY [J].

CHEN, SS ;

KELLER, JM ;

CROWNOVER, RM .

ARTIFICIAL INTELLIGENCE, 1990, 43 (02) :199-218

[4] ON THE CALCULATION OF FRACTAL FEATURES FROM IMAGES [J].

CHEN, SS ;

KELLER, JM ;

CROWNOVER, RM .

IEEE TRANSACTIONS ON PATTERN ANALYSIS AND MACHINE INTELLIGENCE, 1993, 15 (10) :1087-1090

[5]

FENG J, 1996, P INT C PATT REC, P854

[6]

GANGEPAIN JJ, 1986, WEAR, V109, P119

[7]

KELLER F, 1987, Z HORGERATE AKUSTIKE, V5, P6

[8] TEXTURE DESCRIPTION AND SEGMENTATION THROUGH FRACTAL GEOMETRY [J].

KELLER, JM ;

CHEN, S ;

CROWNOVER, RM .

COMPUTER VISION GRAPHICS AND IMAGE PROCESSING, 1989, 45 (02) :150-166

[9]

Mandelbrot B. B., 1982, FRACTAL GEOMETRY NAT

[10] SHADING INTO TEXTURE [J].

PENTLAND, AP .

ARTIFICIAL INTELLIGENCE, 1986, 29 (02) :147-170

← 1 2 →