Study of Minimum Box-Counting Method for image fractal dimension estimation

Author

Wei, Gang ; Tang, Ju

Author_Institution

Chongqing Power Ultra-high Voltage Bur., Chongqing, China

fYear

2008

fDate

10-13 Dec. 2008

Firstpage

1

Lastpage

5

Abstract

Difference box-counting method (DBCM) was used for partial discharge (PD) gray intensity image fractal dimension estimation, however, ldquoempty boxrdquo may exist and lead to a larger box-number than normal over fractal surface, therefore it is not universal to fractal dimension estimation for digital images, especially when the surfaces vary a lot. The Minimum Box-Counting Method (MBCM) is proposed for fractal dimension estimation and the piecewise hunting method for searching fractal scale independent range are presented. The fractal examples of gas insulation switchgear (GIS)PD gray image and typical Brodatz texture image approve the effectiveness of the method.

Keywords

gas insulated switchgear; image texture; partial discharges; Brodatz texture image; digital images; empty box; fractal scale independent range; gas insulation switchgear; minimum box-counting method; partial discharge gray intensity image fractal dimension estimation; piecewise hunting method; Computational geometry; Digital images; Fractals; Gas insulation; Geographic Information Systems; Laboratories; Partial discharges; State estimation; Surface discharges; Voltage; difference box-counting method (DBCM); fractal dimension estimation; minimum box-counting method (MBCM); partial discharge (PD) gray intensity images;

fLanguage

English

Publisher

ieee

Conference_Titel

Electricity Distribution, 2008. CICED 2008. China International Conference on

Conference_Location

Guangzhou

Print_ISBN

978-1-4244-3373-5

Electronic_ISBN

978-1-4244-3372-8

Type

conf

DOI

10.1109/CICED.2008.5211829

Filename

5211829