Image Pyramids as a New Approach for the Determination of Fractal Dimensions

Michael Mayrhofer-Reinhartshuber, Philipp Kainz, Helmut Ahammer


The consideration of different scales and the application of fractal methods on digital images is of high importance if real world objects are investigated. In this context the fractal dimension is an important parameter to characterize structures and patterns. An accurate understanding of them is obligatory if significant and comparable results should be obtained. Recently a new method using an image pyramid approach was compared to the very popular Box Counting Method. The intriguing results showed that a trustable value for the fractal dimension could be obtained in much faster computational times compared to traditional Box Counting algorithms. In addition to these results of this new approach, which is only applicable to binary (black/white) images, we present developments toward the application to grey value/color images. Especially the determination of the grey value surface and the interpolation used to downscale the images seem to have major influence on the results achieved.


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Paper Citation

in Harvard Style

Mayrhofer-Reinhartshuber M., Kainz P. and Ahammer H. (2013). Image Pyramids as a New Approach for the Determination of Fractal Dimensions . In Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM, ISBN 978-989-8565-41-9, pages 239-243. DOI: 10.5220/0004325902390243

in Bibtex Style

author={Michael Mayrhofer-Reinhartshuber and Philipp Kainz and Helmut Ahammer},
title={Image Pyramids as a New Approach for the Determination of Fractal Dimensions},
booktitle={Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,},

in EndNote Style

JO - Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - Volume 1: ICPRAM,
TI - Image Pyramids as a New Approach for the Determination of Fractal Dimensions
SN - 978-989-8565-41-9
AU - Mayrhofer-Reinhartshuber M.
AU - Kainz P.
AU - Ahammer H.
PY - 2013
SP - 239
EP - 243
DO - 10.5220/0004325902390243