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Showing 1 to 9 of 9 for “"Voronoi tessellations"”.
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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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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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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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Continuum models for intergranular films in silicon nitride and comparison to atomistic simulations
… atomic structure are developed, one based on Voronoi tessellations and the other based on bond-angle distribution functions. A coarse-graining method based on volume averaging over Voronoi tessellations is employed to continuize both structure and composition information. These fields give …
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Incorporating spatiotemporal machine learning into Major League Baseball and the National Football League
… science terms such as Kohonen Networks and Voronoi Tessellations. However, they are presented with great care to simplify the concepts, allowing an understanding for most readers. As this research is jointly supported by the engineering and management schools, certain topics are kept at a …
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Modelling Artificial Stimulation and Response in Peripheral Nerves Including Ephaptic Interactions
… environment. The resistor network uses weighted Voronoi tessellations in the Laguerre geometry to define the electrical connections between all nerve elements given any cross-sectional anatomy. The hybrid field-neuron approach also uses the resistor network to compute the fields, but uses them …
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Reconstructing spatially heterogeneous thermal maps using light-based metrology sensors
… look at solving the inverse problem using Voronoi tessellations to spatially parameterise the refractive index map. A Bayesian approach, namely the reversible jump Markov Chain Monte Carlo method (rj-MCMC), is then used as the optimisation method in the inversion. Using the recovered …
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Pore-scale simulation frameworks for flow and transport in complex porous media
… geometry models were generated based on Voronoi tessellations for three basic types of porous media - granular, tubular and fibrous. The models can be used to create controlled complex microstructural features and heterogeneities so that one can study the effect of complex geometry on …
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Polytope-based topology optimization using a mimetic-inspired method
… work, two-dimensional topology optimization on tessellations is investigated as a means to coalesce art and engineering. M.C. Escher's tessellations using recognizable figures are mainly utilized. The aforementioned Mimetic Finite Difference-inspired approach (VEM) facilitates accurate numerical …