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Proceedings Article

Application of the Minkowski functionals in 3D to high-resolution MR images of trabecular bone: prediction of the biomechanical strength by nonlinear topological measures

[+] Author Affiliations
Holger F. Boehm

Technische Univ. Muenchen (Germany) and Max-Planck-Institut f?r extraterrestrische Physik (Germany)

Thomas M. Link

Technische Univ. Muenchen (Germany)

Roberto A. Monetti, Christoph W. Raeth

Max-Planck-Institut fur extraterrestrische Physik (Germany)

Dirk Mueller

Technische Univ. Munchen (Germany) and Max-Planck-Institut f?r extraterrestrische Physik (Germany)

Ernst J. Rummeny

Technische Univ. Munchen (Germany)

David Newitt, Sharmila Majumdar

Magnetic Resonance Science Ctr., Univ. of California/San Francisco (USA)

Proc. SPIE 5370, Medical Imaging 2004: Image Processing, 172 (May 12, 2004); doi:10.1117/12.532835
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From Conference Volume 5370

  • Medical Imaging 2004: Image Processing
  • J. Michael Fitzpatrick; Milan Sonka
  • San Diego, CA | February 14, 2004

abstract

Multi-dimensional convex objects can be characterized with respect to shape, structure, and the connectivity of their components using a set of morphological descriptors known as the Minkowski functionals. In a 3D Euclidian space, these correspond to volume, surface area, mean integral curvature, and the Euler-Poincar‰ characteristic. We introduce the Minkowski functionals to medical image processing for the morphological analysis of trabecular bone tissue. In the context of osteoporosis-a metabolic disorder leading to a weakening of bone due to deterioration of micro-architecture-the structure of bone increasingly gains attention in the quantification of bone quality. The trabecular architecture of healthy cancellous bone consists of a complex 3D system of inter-connected mineralised elements whereas in osteoporosis the micro-structure is dominated by gaps and disconnections. At present, the standard parameter for diagnosis and assessment of fracture risk in osteoporosis is the bone mineral density (BMD) - a bulk measure of mineralisation irrespective of structural texture characteristics. With the development of modern imaging modalities (high resolution MRI, micro-CT) with spatial resolutions allowing to depict individual trabeculae bone micro-architecture has successfully been analysed using linear, 2- dimensional structural measures adopted from standard histo-morphometry. The preliminary results of our study demonstrate that due to the complex - i.e. the non-linear - network of trabecular bone structures non-linear measures in 3D are superior to linear ones in predicting mechanical properties of trabecular bone from structural information extracted from high resolution MR image data.

© (2004) COPYRIGHT SPIE--The International Society for Optical Engineering. Downloading of the abstract is permitted for personal use only.
Citation

Holger F. Boehm ; Thomas M. Link ; Roberto A. Monetti ; Dirk Mueller ; Ernst J. Rummeny, et al.
"Application of the Minkowski functionals in 3D to high-resolution MR images of trabecular bone: prediction of the biomechanical strength by nonlinear topological measures", Proc. SPIE 5370, Medical Imaging 2004: Image Processing, 172 (May 12, 2004); doi:10.1117/12.532835; http://dx.doi.org/10.1117/12.532835


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