Results 31 to 40 of about 16,841 (195)
Characterization of Self-Assembled 2D Patterns with Voronoi Entropy
Entropy, 2018 The Voronoi entropy is a mathematical tool for quantitative characterization of the orderliness of points distributed on a surface. The tool is useful to study various surface self-assembly processes. We provide the historical background, from Kepler and
Edward Bormashenko +7 more
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GPU-Assisted Computation of Centroidal Voronoi Tessellation [PDF]
IEEE Transactions on Visualization and Computer Graphics, 2011 Centroidal Voronoi tessellations (CVT) are widely used in computational science and engineering. The most commonly used method is Lloyd's method, and recently the L-BFGS method is shown to be faster than Lloyd's method for computing the CVT. However, these methods run on the CPU and are still too slow for many practical applications.
Wang, W +5 more
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Application of Tessellation in Architectural Geometry Design
E3S Web of Conferences, 2018 Tessellation plays a significant role in architectural geometry design, which is widely used both through history of architecture and in modern architectural design with the help of computer technology.
Chang Wei
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Continuum percolation for Cox point processes [PDF]
, 2017 We investigate continuum percolation for Cox point processes, that is, Poisson point processes driven by random intensity measures. First, we derive sufficient conditions for the existence of non-trivial sub- and super-critical percolation regimes based ...
Cali, Elie +2 more
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Estimation of the infinitesimal generator by square-root approximation [PDF]
, 2017 For the analysis of molecular processes, the estimation of time-scales, i.e., transition rates, is very important. Estimating the transition rates between molecular conformations is -- from a mathematical point of view -- an invariant subspace projection
Donati, Luca +3 more
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On Non-Poissonian Voronoi Tessellations
Applied Physics Research, 2015 <p>The Voronoi tessellation is the partition of space for a given seeds pattern and the result of the partition depends completely on the type of given pattern ”random”, Poisson-Voronoi tessellations (PVT), or ”non-random”, Non Poisson-Voronoi tessellations.
Ferraro, M., Zaninetti, L.
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Weighted Poisson-Delaunay Mosaics
, 2019 Slicing a Voronoi tessellation in $\mathbb{R}^n$ with a $k$-plane gives a $k$-dimensional weighted Voronoi tessellation, also known as power diagram or Laguerre tessellation. Mapping every simplex of the dual weighted Delaunay mosaic to the radius of the
Edelsbrunner, Herbert, Nikitenko, Anton
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Anisotropic Centroidal Voronoi Tessellations and Their Applications [PDF]
SIAM Journal on Scientific Computing, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Desheng, Du, Qiang
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Statistics of cross sections of Voronoi tessellations [PDF]
Physical Review E, 2011 In this paper we investigate relationships between the volumes of cells of three-dimensional Voronoi tessellations and the lengths and areas of sections obtained by intersecting the tessellation with a randomly oriented plane. Here, in order to obtain analytical results, Voronoi cells are approximated to spheres. First, the probability density function
FERRARO, Mario, ZANINETTI, Lorenzo
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Unsupervised Image Classification Based on Fully Fuzzy Voronoi Tessellation
Applied SciencesHigh noise resistance and high boundary fitting accuracy have always been the goals of image classification. However, the two mutually constrain each other, making it extremely difficult to reach equilibrium.
Xiaoli Li +6 more
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