The chord length distribution function for regular polygons
نویسندگان
چکیده
منابع مشابه
Chord 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...
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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...
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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...
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projection and Fourier methods [1, 2] are used to reconstruct high resolution images in a variety of applications In this work, we develop statistically based algorithms to reconstruct binary polygonal objects from sparse and noisy [1]. Although these methods produce high quality images, tomographic-based observation data. Traditional approaches they require a large number of projections and a ...
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ژورنال
عنوان ژورنال: Advances in Applied Probability
سال: 2009
ISSN: 0001-8678,1475-6064
DOI: 10.1239/aap/1246886615