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Three-dimensional structure is one of the main factors influencing the mechanical behaviour of cancellous bone. To analyse the trabecular bone structure non-destructively we used a peripheral QCT system and applied a special thin-slice technique to create high-resolution volumetric data sets serving as a basis for something we would like to call non-invasive bone biopsy. In order to obtain binary data sets, the mineralized bone in the CT volume was separated from bone marrow and muscle tissue with the help of a sophisticated three-dimensional segmentation algorithm based on the analysis of directional derivatives, which are computed from a locally approximated fit function of the original CT volume. Binary volumes including either a solid representation of trabecular plates and rods or a topological representation of the cancellous bone architecture were acquired. Such volumes can be processed non-destructively and, even more important, repetitively. By using a surface reconstruction algorithm based on interpolating triangulation it was possible to visualize the three-dimensional surface of the trabecular bone structure. The results showed that surface representation and visualization in combination with a multiple thin-slice measuring technique are valuable tools in studying three-dimensional bone architecture. In the future, the non-invasive bone biopsies will be evaluated by means of three-dimensional mechanical analysis incorporating finite element modelling and direct morphological investigations of the cancellous bone architecture for a better prediction of bone strength as an index for fracture risk or osteoporosis.
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Müller et al. (1994) studied this question.
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