Generalization of Fractal Dimension by Box Counting Extension

Yusuke CHIHARA; Hiroshi KANEKO

doi:10.11371/aiieej.34.0.15.0

Media Computing Conference 2006 - Proceedings of the 34th Annual Conference of the Institute of Image Electronics Engineers of Japan 2006 -

Session ID : 06-8

DOI https://doi.org/10.11371/aiieej.34.0.15.0

Conference information

Host: The Institute of Image Electronics Engineers of Japan

Co-host: Toho University, Tokyo Denki University, Chiba Institute of Technology, Information Processing Society of Japan

10:30-12:00 Mutsuo SANO, Osaka Institute of Technology

Generalization of Fractal Dimension by Box Counting Extension

*Yusuke CHIHARA, Hiroshi KANEKO

Author information

Keywords: Fractal, Generalized Fractal Dimension, Texture Analysis

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Abstract

The conventional fractal dimension is scalar-valued and cannot contain sufficient image information. For example, spatial information such as the directionality and the configurative information. Overcoming these defects, in this paper, a new type of fractal feature is proposed and applied to image analysis. The feature is a generalization of box counting dimension containing directional information. The experiment verifies that the fractal feature is very useful for analyzing texture image.

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