Voronoi-Like Grid Systems for Tall Buildings
In the context of innovative patterns for tall buildings, Voronoi tessellation is certainly worthy of interest. It is an irregular biomimetic pattern based on the Voronoi diagram, which derives from the direct observation of natural structures. The paper
Giulia Angelucci, Fabrizio Mollaioli
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Coloring the Voronoi tessellation of lattices
In this paper we define the chromatic number of a lattice: It is the least number of colors one needs to color the interiors of the cells of the Voronoi tessellation of a lattice so that no two cells sharing a facet are of the same color. We compute the chromatic number of the root lattices, their duals, and of the Leech lattice, we consider the ...
Dutour Sikirić, Mathieu +3 more
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Structural behavior of copper monatomic metallic glass under various cooling conditions investigated by molecular dynamics simulations [PDF]
The present research explores the structural characteristics of pure copper (Cu) metallic glass using the embedded atom method (EAM) potential in molecular dynamics simulations. Numerous techniques were used, such as coordination number analysis, Voronoi
El Kharraz Abdelaziz +4 more
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A Cosmic Watershed: the WVF Void Detection Technique [PDF]
On megaparsec scales the Universe is permeated by an intricate filigree of clusters, filaments, sheets and voids, the Cosmic Web. For the understanding of its dynamical and hierarchical history it is crucial to identify objectively its complex ...
Jones, Bernard J. T. +2 more
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ENVIRONMENTAL PROPERTIES OF GALAXIES AT Z < 0.1 FROM THE SDSS VIA THE VORONOI TESSELLATION
The aim of our work was to investigate the environmental density of galaxies fromthe SDSS DR9 at z < 0.1 using the 3D Voronoi tessellation. The inverse volume of the Voronoi cell was chosen as a parameter of local environmental density.
D. V. Dobrycheva +3 more
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Particle hydrodynamics with tessellation techniques [PDF]
Lagrangian smoothed particle hydrodynamics (SPH) is a well-established approach to model fluids in astrophysical problems, thanks to its geometric flexibility and ability to automatically adjust the spatial resolution to the clumping of matter.
Agertz +47 more
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SAR IMAGE SEGMENTATION WITH UNKNOWN NUMBER OF CLASSES COMBINED VORONOI TESSELLATION AND RJMCMC ALGORITHM [PDF]
This paper presents a novel segmentation method for automatically determining the number of classes in Synthetic Aperture Radar (SAR) images by combining Voronoi tessellation and Reversible Jump Markov Chain Monte Carlo (RJMCMC) strategy.
Q. H. Zhao, Y. Li, Y. Wang
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PARAVT: Parallel Voronoi tessellation code [PDF]
We present a new open source code for massive parallel computation of Voronoi tessellations(VT hereafter) in large data sets. The code is focused for astrophysical purposes where VT densities and neighbors are widely used. There are several serial Voronoi tessellation codes, however no open source and parallel implementations are available to handle ...
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Centroidal Voronoi Tessellations: Applications and Algorithms [PDF]
A centroidal Voronoi tessellation is a Voronoi tessellation whose generating points are the centroids (centers of mass) of the corresponding Voronoi regions. This paper gives some applications of centroidal tessellation to problems in image compression, quadrature, finite difference methods and statistics, etc. The authors discuss methods for computing
Du, Q., Faber, V., Gunzburger, M.
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Non-Uniform Offsetting and its Applications in Laser Path Planning of Sterolithography Machine [PDF]
Laser path planning is an important step in solid freeform fabrication processes such as Stereolithography (SLA). An important consideration in the laser path planning is to compensate the shape of laser beam. Currently the compensation is divided into
Chen, Yong
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