On the calculation of fractal features from images

Author

Chen, Susan S. ; Keller, James M. ; Crownover, Richard M.

Author_Institution

Allied Bendix/King Radio Corp., Olathe, KS, USA

Volume

15

Issue

10

fYear

1993

fDate

10/1/1993 12:00:00 AM

Firstpage

1087

Lastpage

1090

Abstract

Fractal geometry is becoming increasingly more important in the study of image characteristics. There are numerous methods available to estimate parameters from images of fractal surfaces. A very general technique to calculate numerous fractal features involves the estimation of the mass density function by box counting. The authors analyze the box-counting method, establish a lower bound for the box size, and indicate how algorithms can be improved to give better estimates of fractal features of images. This provides a theoretical basis for a heuristic approach used by C.A. Pickover and A.L. Khorasani (1986)

Keywords

feature extraction; fractals; parameter estimation; box counting; box size lower bound; fractal feature calculation; fractal geometry; fractal surfaces; heuristic approach; image characteristics; images; mass density function; Algorithm design and analysis; Brownian motion; Density functional theory; Fractals; Geometry; Image analysis; Layout; Parameter estimation; Rough surfaces; Surface roughness;

fLanguage

English

Journal_Title

Pattern Analysis and Machine Intelligence, IEEE Transactions on

Publisher

ieee

ISSN

0162-8828

Type

jour

DOI

10.1109/34.254066

Filename

254066