Tabor Zbisław
Department of Biophysics, Jagiellonian University Medical College, Grzegorzecka 16a, 31-531 Cracow, Poland.
Med Eng Phys. 2007 Apr;29(3):298-306. doi: 10.1016/j.medengphy.2006.04.001. Epub 2006 May 22.
It has been shown recently that failure of mechanically tested trabecular bone samples can be localized within a part of the volume of the samples. Bone volume fraction BV/TV of failure regions was found to be a better determinant of the mechanical competence of the specimens and was smaller than BV/TV of the whole samples. These results suggest that localization of a failure within a part of an inhomogeneous trabecular network can be related to the presence of a surface of minimal cut-a surface separating the analyzed trabecular sample into two disjoint parts in such a way, that the separation requires removal of minimal possible amount of bone material. Thus, to properly address the problem of mechanical competence of a trabecular bone sample, one must be able to detect and describe the surface of minimal cut. In this paper an algorithm localizing surfaces of minimal cut within 3D trabecular structures is introduced.
最近的研究表明，经过力学测试的小梁骨样本的失效可以定位在样本体积的一部分内。研究发现，失效区域的骨体积分数BV/TV是样本力学性能的更好决定因素，并且小于整个样本的BV/TV。这些结果表明，在不均匀小梁网络的一部分内的失效定位可能与最小切割面的存在有关——这样一个面将分析的小梁样本分成两个不相交的部分，使得分离需要去除尽可能少的骨材料。因此，为了正确解决小梁骨样本的力学性能问题，必须能够检测和描述最小切割面。本文介绍了一种在三维小梁结构中定位最小切割面的算法。
