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Proceedings Paper

Estimating of Fractal and Correlation Dimension from 2D and 3D-Images
Author(s): Ari M. Vepsalainen; Jun Ma
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Paper Abstract

If the recursive algorithm or the dynamical system that generate the fractal shape is known, then the fractal dimension can be calculated. Many natural shapes are fractals. However, one can usually not estimate exactly the corresponding dimension from images, because the images are formed of finite amount of values at discrete points. In here, one algorithm to estimate fractal dimension and two algorithms to estimate the correlation dimension, which is a lower bound of fractal dimension, from a 2D or 3D image are introduced. The calculated dimension could be used in order to solve many practical problems. For example, one could use the dimension image on icebreakers in order to determine the type of ice and in order to find cracks in the ice using satellite images. Also one can use dimension image in image compression and in pattern recognition.

Paper Details

Date Published: 1 November 1989
PDF: 9 pages
Proc. SPIE 1199, Visual Communications and Image Processing IV, (1 November 1989); doi: 10.1117/12.970053
Show Author Affiliations
Ari M. Vepsalainen, Technical Research Centre of Finland (Finland)
Jun Ma, Technical Research Centre of Finland (Finland)

Published in SPIE Proceedings Vol. 1199:
Visual Communications and Image Processing IV
William A. Pearlman, Editor(s)

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