Zusammenfassung
Die Topologie multi-dimensionaler, konvexer Objekte kann mit Hilfe der Minkowski-Funktionale (MF) eindeutig charakterisiert werden. Im 3-dimensionalen euklidischen Raum sind diese proportional dem Volumen, der Oberfläche, der mittleren integralen Krümmung und der Euler-Poincaré-Charakteristik. In unserer Arbeit wird mittels nicht-linearer Strukturmaße, die auf den MF in 3D basieren, aus hochauflösenden MRT-Bilddaten menschlicher spinaler und femoraler Knochenpräparate die mechanische Bruchfestigkeit (MCS) vorherbestimmt. Die prädiktive Wertigkeit der neuen Parameter in vitro wird der Wertigkeit der Knochenmineralsalzdichte (BMD), gemessen durch quantitative Computertomographie (QCT), sowie der Wertigkeit linearer Strukturmasse gegenüber gestellt.
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Boehm, H.F. et al. (2004). Nicht-lineare Texturmaße basierend auf den Minkowski-Funktionalen in 3D: Vorhersage der Bruchlast trabekulärer Knochenpräparate durch Strukturanalyse hochauflösender MR-Aufnahmen. In: Tolxdorff, T., Braun, J., Handels, H., Horsch, A., Meinzer, HP. (eds) Bildverarbeitung für die Medizin 2004. Informatik aktuell. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-18536-6_29
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DOI: https://doi.org/10.1007/978-3-642-18536-6_29
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