The chord-length distribution of a polyhedron
نویسندگان
چکیده
منابع مشابه
Nonparametric estimation of the chord length distribution
The distribution of the length of a typical chord of a stationary random set is an interesting feature of the set’s whole distribution. We give a nonparametric estimator of the chord length distribution and prove its strong consistency. We report on a simulation experiment in which our estimator compared favorably to a reduced sample estimator. Both estimators are illustrated by applying them t...
متن کاملChord Length Distribution Function for Convex Polygons
Department of Mathematics and Mechanics, Yerevan State University, Alex Manoogian, 1 0025 Yerevan, Armenia. [email protected]. Using the inclusion-exclusion principle and the Pleijel identity, an algorithm for calculation chord length distribution function for a bounded convex polygon is obtained. In the particular case an expression for the chord length distribution function for a rhombus is obta...
متن کاملContact and Chord Length Distribution of a Stationary Voronoi Tessellation
We give formulae for diierent types of contact distribution functions for stationary (not necessarily Poisson) Voronoi tessellations in R d in terms of the Palm void probabilities of the generating point process. Moreover, using the well-known relationship between the linear contact distribution and the chord length distribution we derive a closed form expression for the mean chord length in te...
متن کاملHow fast can the chord-length distribution decay?
The modelling of random bi-phasic, or porous, media has been, and still is, under active investigation by mathematicians, physicists or physicians. In this paper we consider a thresholded random process X as a source of the two phases. The intervals when X is in a given phase, named chords, are the subject of interest. We focus on the study of the tails of the chord-length distribution function...
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: Acta Crystallographica Section A Foundations and Advances
سال: 2020
ISSN: 2053-2733
DOI: 10.1107/s2053273320004519