Estimation of fractal dimension using alternating sequential filters

Author

Talukdar, Dipankar ; Acharya, Raj

Author_Institution

Dept. of Electr. & Comput. Eng., State Univ. of New York, Buffalo, NY, USA

Volume

1

fYear

1995

fDate

23-26 Oct 1995

Firstpage

231

Abstract

The computation of the fractal dimension of a 2-dimensional image has become an important issue in various image processing applications such as texture analysis. The fractal dimension is a measure of the similarity in a multiresolution representation. An alternating sequential filter (ASF), a morphological transformation, is used to generate such a representation. The surface areas at different resolutions, computed using a piecewise planar approximation, are used to estimate the fractal dimension. Comparisons with existing methods are done to show the effectiveness of the proposed method. The robustness to noise is also demonstrated. Testing was done on synthetic and natural textured images

Keywords

approximation theory; filtering theory; fractals; image representation; image resolution; image texture; mathematical morphology; 2D image; alternating sequential filters; fractal dimension estimation; image processing applications; image representation; image resolution; morphological transformation; multiresolution representation; natural textured images; noise robustness; piecewise planar approximation; set theory; similarity measure; surface areas; synthetic images; texture analysis; two dimensional image; Cloning; Filters; Fractals; Geometry; Image analysis; Length measurement; Surface morphology; Testing;

fLanguage

English

Publisher

ieee

Conference_Titel

Image Processing, 1995. Proceedings., International Conference on

Conference_Location

Washington, DC

Print_ISBN

0-8186-7310-9

Type

conf

DOI

10.1109/ICIP.1995.529588

Filename

529588