SECOND MOMENT MEASURE AND K-FUNCTION FOR PLANAR STIT TESSELLATIONS
نویسندگان
چکیده
منابع مشابه
Strong mixing property for STIT tessellations
The so-called STIT tessellations form the class of homogeneous (spatially stationary) tessellations of R which are stable under the nesting/iteration operation. In this paper, we establish the strong mixing property for these tessellations and give the optimal form of the rate of decay for the quantity |P(A ∩ Y = ∅, ThB ∩ Y = ∅) − P(A ∩ Y = ∅)P(B ∩ Y = ∅)| when A and B are two compact sets, h a...
متن کاملThe Combinatorial Structure of Spatial STIT Tessellations
Spatially homogeneous random tessellations that are stable under iteration (nesting) in the 3-dimensional Euclidean space are considered, so-called STIT tessellations. They arise as outcome of a spatio-temporal process of subsequent cell division and consequently they are not facet-to-facet. The intent of this paper is to develop a detailed analysis of the combinatorial structure of such tessel...
متن کاملMoments of the Length of Line Segments in Homogeneous Planar Stit Tessellations
Homogeneous planar tessellations stable under iteration (STIT tessellations) are considered. Using recent results about the joint distribution of direction and length of the typical I-, Kand J-segment we prove closed formulas for the first, second and higher moments of the length of these segments given their direction. This especially leads to the mean values and variances of these quantities ...
متن کاملSuperposition of Planar Voronoi Tessellations
We study the tessellation de ned as the intersection of two independent planar Poisson-Voronoi tessellations and derive the means of its main geometrical characteristics. For this intersection tessellation, we distinguish between six types of cells depending on whether they contain the nuclei of the two initial tessellations or not. The intensity and the mean area of each type of cell are compu...
متن کاملLimit surface and moment function descriptions of planar sliding
We present two geometric descriptions of the frictional properties of a rigid body sliding on a planar surface. The limit surface LS, from classical plasticity theory, is the boundary of the set of all possible frictional forces and moments that can be sustained by the frictional interface. Zhukovskii’s moment finction is the frictional moment as a function of the instantaneous center of rotati...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Image Analysis & Stereology
سال: 2011
ISSN: 1854-5165,1580-3139
DOI: 10.5566/ias.v29.p121-131