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The European Physical Journal Special Topics

, Volume 143, Issue 1, pp 109–116 | Cite as

Measures of complexity for 3D image analysis of trabecular bone

  • N. Marwan
  • P. Saparin
  • J. Kurths
Article

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.

Keywords

Bone Loss Trabecular Bone European Physical Journal Special Topic Proximal Tibia Characteristic Length Scale 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

Authors and Affiliations

  • N. Marwan
    • 1
  • P. Saparin
    • 2
  • J. Kurths
    • 1
  1. 1.Nonlinear Dynamics Group, Institute of Physics, University of PotsdamPotsdamGermany
  2. 2.Department of BiomaterialsMax-Planck-Institute of Colloids and InterfacesPotsdam-GolmGermany

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