Engineering Mechanics

International Conference

Proceedings Vol. 17 (2011)


ENGINEERING MECHANICS 2011

17th INTERNATIONAL CONFERENCE
May 9 – 12, 2011, Svratka, Czech Republic
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Editors: Vladimír Fuis

Copyright © 2011 Institute of Thermomechanics, Academy of Sciences of the Czech Republic, v.v.i., Prague

ISBN 978-80-87012-33-8 (printed)
ISSN 1805-8248 (printed)
ISSN 1805-8256 (electronic)

list of papers scientific commitee

RELATIONS BETWEEN FRACTAL DIMENSION AND VOLUME OF TRABECULAR BONE AND ITS BEHAVIOUR UNDER LOADING
Topoliński T., Cichański A., Mazurkiewicz A., Nowicki K., Jung S.
pages 627 - 630, full text

Two parameters of bone microarchitecture: volume of bone layer and fractal dimension were used. 42 human bone samples were cut to cylindrical testing samples of 8.5 mm thickness and 10 mm diameter. We obtained 230 images (microCT) which, using binarisation technique, were transformed into pixels and voxels. We created geometrical mesh of layers of bone mass. This allowed the calculation of each layers volume and fractal dimension. Fractal dimension for each single layer has been calculated applying set of voxels using Sarkar’s and Chaudhuri’s box-counting algorithm. When comparing scatter for layers’ volume and scatter for layers’ fractal dimension we can see that scatter is clearly higher for volume. This might mean that relative scatter for fractal dimension is narrower, thus in diagnostic procedure fewer measurement data of fractal dimension than of volume are sufficient to conclude about bone structure.


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