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Showing 1 to 18 of 18 for “"Voronoi tessellation"”.
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Construction of Centroidal Voronoi Tessellations Using A Conjugate Gradient Method Based On Trust Regions
<p>A Voronoi tessellation whose generating points coincide with the centroids (mass centers) of the corresponding Voronoi regions is called a centroidal Voronoi tessellation (CVT). Due to the natural optimization properties enjoyed by CVTs, they have diverse applications in many areas of science …
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Over-Relaxation Lloyd Method For Computing Centroidal Voronoi Tessellations
<p>Centrodial Voronoi tessellation (CVT) is a Voronoi tessellation of a region whose generating points are also the mass centroids of the corresponding Voronoi regions. Centrodial Voronoi tessellations have diverse applications in many areas of science and engineering. In this paper, we study …
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Discrete modelling of heat transfer
… determined by the Delaunay triangulation and the Voronoi tessellation. The objective of the present work is to investigate in more detail this type of lattice model for heat transfer. In the lattice models studied here the domain to be analysed is discretised by a network of discrete lattice …
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THE LOW-INTENSITY LIMIT OF BERNOULLI-VORONOI AND POISSON-VORONOI MEASURES
On a graph G the Bernoulli-Voronoi measure is an edge percolation process obtained as a result of the following procedure; first select vertices by a Bernoulli site percolation,with intensity p, as nuclei for a Voronoi tessellation and then delete edges whose end vertices lie in different Voronoi …
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Searching for Distant Galaxy Clusters : Optical Observations, Cluster Search Algorithms and the Cluster Selection Function
… comparison with the cluster detections from the Voronoi tessellation. For the determination of the cluster selection function in HIROCS and COMBO-17 procedures to simulate galaxy clusters were introduced. Due to the lack of fully reduced HIROCS data, the COMBO-17 selection function was …
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Full waveform inversion of ultrasonic phased array data for the tomographic reconstruction of heterogeneous media for NDT
… phased array data. This framework consists of: a Voronoi tessellation to spatially parametrise the wave speed map; a bespoke semi-analytical model that encompasses the data within an ultrasonic A-scan while being computationally efficient; a bespoke objective function toquantify how well the …
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An automated multicolour fluorescence in situ hybridization workstation for the identification of clonally related cells
… analyzing cell spatial distributions by way of Voronoi tessellation and Delaunay triangulation to robustly define cell neighbourhoods. The motivation for the system is to examine lung cancer patient for subpopulations of Non-Small Cell Lung Cancer (NSCLC) cells with biologically meaningful gene …
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Molecular Dynamics and X-ray Powder Diffraction Simulations: Investigation of nano-polycrystalline microstructure at the atomic scale coupling local structure configurations and X-ray powder Diffraction techniques
… were generated with a new modified Voronoi tessellation method which provides a direct relation between generation parameters and statistical properties of the resulting model. MD was used to equilibrate the system: the corresponding strain field was described both in the core and in …
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Atomistic Molecular Dynamics Studies of Grain Boundary Structure and Deformation Response in Metallic Nanostructures
… and quasi-2D virtual samples constructed using a Voronoi tessellation technique. The samples were subjected to virtual mechanical testing using uniaxial strain at strain rates ranging from 105s-1 to 109s-1. Seven different interatomic embedded atom method potentials were used in this work. The …
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Analytical and experimental investigation of microstructural alterations in bearing steel in rolling contact fatigue
… and was then used to simulate damage evolution. Voronoi tessellation was used to develop the FEM domains to capture the effect of microstructural randomness on butterfly wing formation, crack initiation and propagation. Then, the effects of different inclusion characteristics such as size, depth, …
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Quasar formation in the context of large scale structure
… on a maximum likelihood estimate applied to Voronoi tessellation and enhanced by a colour-cut approach. We find, using multiple sets of quasars, that low redshift quasars follow the large scale structure (LSS) traced by galaxy clusters. In contrast, the narrow emission line galaxies (NELGs) …
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Order and Asymmetry in Jammed Systems
… not as useful. We developed a new order metric, Voronoi entropy, based on Voronoi tessellation and information theory. The main idea of the Voronoi entropy is to detect and quantify unique Voronoi polyhedrons. Voronoi entropy can successfully find lattice order in bi-disperse crystal and other …
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Multiple particle tracking in PEPT using Voronoi tessellations
… presented which makes use of three-dimensional Voronoi tessellations to track up to 20 tracers using a PET scanner. The lines of response generated by the PET scanner are discretized into sets of equidistant points, and these are used as the input seeds to the Voronoi tessellation. For each line …
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LAWS OF LARGE NUMBERS AND CENTRAL LIMIT THEOREMS FOR RANDOM GEOMETRIC MEASURES. A COMPUTATIONAL APPROACH
… measures associated with a segment process, a Voronoi tessellation and a Johnson-Mehl tessellation constructed on an underlying 2-dimensional point process. In the result by Penrose, this point process is supposed to be Poisson non-homogeneous (or Binomial, but we are not going to study this …
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Nanoscale Coherent-Acoustic-Phonon Dynamics in Molybdenum Disulfide Using Ultrafast Electron Microscopy
… zone-axis patterns and six-fold centroidal Voronoi tessellation patterns. Vertical deformation of up to 35 nm for several bilayer MoS2 crystals were measured with atomic force microscopy. The formation mechanism of such pattern was elucidated with atomistic simulations.
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Meshless hydrodynamic simulations of young supernova remnants
… and a steeply declining outer edge. The Weighted Voronoi Tessellation code was used to produce the 1/r 2 and axisymmetric torus density distributions. We showed that the growth of Richtmyer-Meshkov instabilities in the 2D and 3D 1/r 2 profiles are visible as early as 20 yrs into the evolution of …
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Ion Pairing in Aqueous Metal Sulfates and Platinum Group Metal Ammonium Solutions
… to their ion hydration numbers as calculated by Voronoi tessellation of the simulation cell, such that a larger hydration shell volume results in a slower PGM chloro-anion diffusion rate.
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Delaunay-Laguerre Geometry For Macromolecular Modeling And Implicit Solvation
… consist of the intersection of the Laguerre tessellation and space-filling diagram. This method eliminates the need for explicit water molecules to cap infinite Laguerre cells of certain solvent accessible solute atoms. We discuss and implement a quick weighted Delaunay tetrahedrization …