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Authors: Michael Mayrhofer-Reinhartshuber ; Philipp Kainz and Helmut Ahammer

Affiliation: Medical University of Graz, Austria

Keyword(s): Fractals, Pyramid Dimension, Fractal Dimension, Image Analysis.

Related Ontology Subjects/Areas/Topics: Applications ; Feature Selection and Extraction ; Medical Imaging ; Pattern Recognition ; Software Engineering ; Theory and Methods

Abstract: 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 several formats:
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 - ICPRAM; ISBN 978-989-8565-41-9; ISSN 2184-4313, SciTePress, pages 239-243. DOI: 10.5220/0004325902390243

@conference{icpram13,
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 - ICPRAM},
year={2013},
pages={239-243},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0004325902390243},
isbn={978-989-8565-41-9},
issn={2184-4313},
}

TY - CONF

JO - Proceedings of the 2nd International Conference on Pattern Recognition Applications and Methods - ICPRAM
TI - Image Pyramids as a New Approach for the Determination of Fractal Dimensions
SN - 978-989-8565-41-9
IS - 2184-4313
AU - Mayrhofer-Reinhartshuber, M.
AU - Kainz, P.
AU - Ahammer, H.
PY - 2013
SP - 239
EP - 243
DO - 10.5220/0004325902390243
PB - SciTePress

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