Smit TH, Schneider E, Odgaard A
Biomechanics Section, Technical University Hamburg-Harburg, Hamburg, Germany.
J Microsc. 1998 Sep;191(3):249-257.
Determination and quantification of anisotropy is of great interest in research fields dealing with physical structures or surface textures. In this paper, a volume-based method is presented, which essentially determines the mean object length in a certain direction for a typical point within a structure or texture. The mean object lengths for all orientations together form the so-called star length distribution (SLD). The validity and the accuracy of the SLD method are investigated, and illustrated by applying it to trabecular bone. By using a line sampling algorithm, the relation with other anisotropy measures could be studied analytically. Preliminary tests suggest that with SLD a more exact description of the mechanical properties of porous structures may be obtained than with other anisotropy measures. However, due to possible secondary orientations that become apparent with SLD, a fabric tensor must be of rank higher than two in order to properly describe an orthogonal structure mathematically.
在处理物理结构或表面纹理的研究领域中，各向异性的测定和量化备受关注。本文提出了一种基于体积的方法，该方法本质上是确定结构或纹理内某一典型点在特定方向上的平均物体长度。所有方向的平均物体长度共同构成所谓的星长度分布（SLD）。研究了SLD方法的有效性和准确性，并通过将其应用于小梁骨进行了说明。通过使用线采样算法，可以对与其他各向异性测量方法的关系进行分析研究。初步测试表明，与其他各向异性测量方法相比，使用SLD可以更精确地描述多孔结构的力学性能。然而，由于SLD可能会出现明显的次生取向，为了在数学上正确描述正交结构，织物张量的秩必须高于二阶。
