Measures of complexity for 3D image analysis of trabecular bone
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 micr...
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| Veröffentlicht in: | The European physical journal. ST, Special topics Special topics, 2007-04, Vol.143 (1), p.109-116 |
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| container_title | The European physical journal. ST, Special topics |
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| creator | Marwan, N. Saparin, P. Kurths, J. |
| description | 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. |
| doi_str_mv | 10.1140/epjst/e2007-00078-x |
| format | Article |
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| title | Measures of complexity for 3D image analysis of trabecular bone |
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