Neveu’s Exchange Formula for Analysis of Wireless Networks With Hotspot Clusters
Theory of point processes, in particular Palm calculus within the stationary framework, plays a fundamental role in the analysis of spatial stochastic models of wireless communication networks. Neveu’s exchange formula, which connects the respective Palm
Naoto Miyoshi
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Voronoi Tessellations and the Shannon Entropy of the Pentagonal Tilings
We used the complete set of convex pentagons to enable filing the plane without any overlaps or gaps (including the Marjorie Rice tiles) as generators of Voronoi tessellations. Shannon entropy of the tessellations was calculated.
Edward Bormashenko +4 more
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The Voronoi Tessellation Method in Astronomy [PDF]
The Voronoi tessellation is a natural way of space segmentation, which has many applications in various fields of science and technology, as well as in social sciences and visual art. The varieties of the Voronoi tessellation methods are commonly used in computational fluid dynamics, computational geometry, geolocation and logistics, game dev ...
Vavilova, Irina +3 more
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Bernoulli Cluster Field: Voronoi Tessellations [PDF]
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Ponížil, Petr, Saxl, Ivan
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Mechanical and geometrical study of 3D printed Voronoi scaffold design for large bone defects
The Voronoi design was utilized for a biodegradable patient-specific bone scaffold with macro pores (>4 mm) for the surgical treatment of a critical-sized bone defect. We have focused on the relationship between scaffold design and mechanical properties.
Buddhi Herath +9 more
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Every biological image contains quantitative data that can be used to test hypotheses about how patterns were formed, what entities are associated with one another, and whether standard mathematical methods inform our understanding of biological ...
John R. Jungck +3 more
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ON THE DILATED FACETS OF A POISSON-VORONOI TESSELLATION
In this paper, the parallel set ΞR of the facets ((d−1)-faces) of a stationary Poisson-Voronoi tessellation in ℝ2 and ℝ3 is investigated. An analytical formula for the spherical contact distribution function of the tessellation allows for the derivation ...
Claudia Redenbach
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Adaptive geometric tessellation for 3D reconstruction of anisotropically developing cells in multilayer tissues from sparse volumetric microscopy images. [PDF]
The need for quantification of cell growth patterns in a multilayer, multi-cellular tissue necessitates the development of a 3D reconstruction technique that can estimate 3D shapes and sizes of individual cells from Confocal Microscopy (CLSM) image ...
Anirban Chakraborty +3 more
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The Palm measure and the Voronoi tessellation for the Ginibre process [PDF]
We prove that the Palm measure of the Ginibre process is obtained by removing a Gaussian distributed point from the process and adding the origin. We obtain also precise formulas describing the law of the typical cell of Ginibre--Voronoi tessellation. We
Andre ́ Goldman +2 more
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Investigation of mechanical behavior of Aluminum foam under uniaxial tests using Voronoi tessellation method [PDF]
Aluminum foams are among the materials that have many applications in the construction of various building elements, including sandwich panels. This category of materials has unique features due to low density, the presence of small holes, sound ...
A. Rezaei Sameti
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