  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.
