标题： 采用岩心取样法确定参数的精度：应用于Voronoi镶嵌 显示英文标题

标题： The accuracy of parameters determined with the core-sampling method: application to Voronoi tessellations

摘要： 大尺度物质分布代表了诸如空洞、星团、纤维和薄片等结构单元的复杂网络。 这个网络由点分布所构成。 点过程的整体特性可以通过不同的统计方法来测量，然而这些方法并不能直接描述结构单元。 结构单元的形态是点分布的一个重要属性。 在这里我们应用核心采样法于各种Voronoi镶嵌。 利用核心采样法，我们在这些Voronoi镶嵌中识别一维和二维结构单元（纤维和薄片），并沿随机直线重建它们的平均间距。 我们将核心采样法的结果与考虑中的Voronoi镶嵌的先验已知结构单元进行比较，发现预期和找到的结构参数之间有很好的一致性，即使在存在大量噪声的情况下也是如此。 我们得出结论，核心采样法是一种潜在的强大工具，可用于研究诸如星系纤维和墙等结构单元的分布。 显示英文摘要

摘要： The large-scale matter distribution represents a complex network of structure elements such as voids, clusters, filaments, and sheets. This network is spanned by a point distribution. The global properties of the point process can be measured by different statistical methods, which, however, do not describe directly the structure elements. The morphology of structure elements is an important property of the point distribution. Here we apply the core-sampling method to various Voronoi tessellations. Using the core-sampling method we identify one- and two-dimensional structure elements (filaments and sheets) in these Voronoi tessellations and reconstruct their mean separation along random straight lines. We compare the results of the core-sampling method with the a priori known structure elements of the Voronoi tessellations under consideration and find good agreement between the expected and found structure parameters, even in the presence of substantial noise. We conclude that the core-sampling method is a potentially powerful tool to investigate the distribution of such structure elements like filaments and walls of galaxies.