Fractional box-counting approach to fractal dimension estimation

Author

Feng, Jie ; Lin, Wei-Chung ; Chen, Chin-Tu

Author_Institution

Dept. of Electr. & Comput. Eng., Northwestern Univ., Evanston, IL, USA

Volume

2

fYear

1996

fDate

25-29 Aug 1996

Firstpage

854

Abstract

The estimation of the fractal dimension is essential in fractal-based image segmentation, classification and shape analysis. The most popular estimation approach is based on box-counting. However, the partition and counting methods used in the regular box-counting scheme produces inaccurate results. In this paper, a more accurate fractional box-counting approach is proposed to estimate the fractal dimension in an image. By separating the concepts of base scale and counting scale, the new approach is able to use a deformable box to capture fractal property at some predetermined resolution. Preliminary results using the fractional box-counting approach have demonstrated that it is an accurate and efficient method

Keywords

estimation theory; fractals; image classification; image segmentation; least squares approximations; base scale; counting scale; deformable box; fractal dimension estimation; fractional box-counting; image classification; image segmentation; shape analysis; Brownian motion; Character generation; Extraterrestrial measurements; Fractals; Image analysis; Image processing; Image segmentation; Image texture analysis; Radiology; Shape;

fLanguage

English

Publisher

ieee

Conference_Titel

Pattern Recognition, 1996., Proceedings of the 13th International Conference on

Conference_Location

Vienna

ISSN

1051-4651

Print_ISBN

0-8186-7282-X

Type

conf

DOI

10.1109/ICPR.1996.547197

Filename

547197