Measures of complexity for 3D image analysis of trabecular
bone |
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Authors: | N Marwan P Saparin J Kurths |
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Institution: | (1) Nonlinear Dynamics Group, Institute of Physics, University of Potsdam, 14415 Potsdam, Germany;(2) Department of Biomaterials, Max-Planck-Institute of Colloids and Interfaces, 14424 Potsdam-Golm, Germany |
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Abstract: | Based on fractal properties and spatial auto-correlation, the
measures of complexity lacunarity, Moran's I and Geary's C index
are defined for 3D image analysis. Their abilities to investigate
translational invariance, characteristic length scales, spatial
correlation and shapes of 3D micro-structures are demonstrated on
proto-typical examples. Finally, using these measures of complexity,
3D images of trabecular bone are analysed. The main findings are
that the complexity of the trabecular structure decreases and the
plate-like shapes of the trabeculae change to mainly rod-like shapes
during bone loss. These results and the proposed measures could have
a great impact for medicine and for space exploration. |
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Keywords: | |
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