Centroidal Voronoi Tessellation Based Proper Orthogonal Decomposition Analysis [PDF]
, 2003 Proper orthogonal decompositions (POD) have been used to systematically extract the most energetic modes while centroidal Voronoi tessellations (CVT) have been used to systematically extract best representatives. We combine the ideas of CVT and POD into a hybrid method for model reduction.
Qiang Du, Max D. Gunzburger
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Visualization and data exploration of chromosome conformation capture data using Voronoi diagrams with v3c-viz. [PDF]
Sci Rep, 2023 Race AM, Fuchs A, Chung HR.
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Nonhomogeneous distributions and optimal quantizers for Sierpi\'nski carpets
, 2016 The purpose of quantization of a probability distribution is to estimate the probability by a discrete probability with finite support. In this paper, a nonhomogeneous probability measure $P$ on $\mathbb R^2$ which has support the Sierpi\'nski carpet ...
Roychowdhury, Mrinal Kanti
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Geodesic Centroidal Voronoi Tessellations: Theories, Algorithms and Applications
, 2019 Nowadays, big data of digital media (including images, videos and 3D graphical models) are frequently modeled as low-dimensional manifold meshes embedded in a high-dimensional feature space. In this paper, we summarized our recent work on geodesic centroidal Voronoi tessellations(GCVTs), which are intrinsic geometric structures on manifold meshes.
Ye, Zipeng +4 more
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Parallel High-Order Anisotropic Meshing Using Discrete Metric Tensors [PDF]
This paper presents a metric-aligned meshing algorithm that relies on the Lp-Centroidal Voronoi Tesselation approach. A prototype of this algorithm was first presented at the Scitech conference of 2018 and this work is an extension to that paper.
Ceze, Marco +2 more
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Geometric and network organization of visceral organ epithelium. [PDF]
Front Netw Physiol, 2023 Liu BS +6 more
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Advanced models for centroidal particle dynamics: short-range collision avoidance in dense crowds. [PDF]
Simulation, 2021 Hesham O, Wainer G.
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Sensor Topology Optimization in Dense IoT Environments by Applying Neural Network Configuration. [PDF]
Sensors (Basel), 2023 Papastergiou G +5 more
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Wave propagation and band tails of two-dimensional disordered systems in the thermodynamic limit. [PDF]
Proc Natl Acad Sci U S A, 2022 Klatt MA, Steinhardt PJ, Torquato S.
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