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Fundamental physical cellular constraints drive self-organization of tissues. [PDF]
Sánchez-Gutiérrez D +5 more
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Continuous Flow Chemistry and Bayesian Optimization for Polymer-Functionalized Carbon Nanotube-Based Chemiresistive Methane Sensors. [PDF]
Dunlap JH +12 more
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\u201cGPU-Assisted Computation of Centroidal Voronoi Tessellation\u201d
G. Rong, Y. Liu, W. Wang, X. Yin, X. Gu +1 more
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Hyperbolic centroidal Voronoi tessellation
Proceedings of the 14th ACM Symposium on Solid and Physical Modeling, 2010The centroidal Voronoi tessellation (CVT) has found versatile applications in geometric modeling, computer graphics, and visualization. In this paper, we extend the concept of the CVT from Euclidean space to hyperbolic space. A novel hyperbolic CVT energy is defined, and the relationship between minimizing this energy and the hyperbolic CVT is proved ...
Guodong Rong, Miao Jin, Xiaohu Guo
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Mahalanobis centroidal Voronoi tessellations
Computers & Graphics, 2015Anisotropic centroidal Voronoi tessellations (CVT) are a useful tool for segmenting surfaces in geometric modeling. We present a new approach to anisotropic CVT, where the local distance metric is learned from the embedding of the shape. Concretely, we define the distance metric implicitly as the minimizer of the CVT energy.
Ronald Richter, Marc Alexa
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Constrained Centroidal Voronoi Tessellations for Surfaces
SIAM Journal on Scientific Computing, 2003The objective of the paper is to study the centroidal Voronoi tessellations (CVT) methododlogy developed \textit{Q. Du, V. Faber} and \textit{M. Gunzburger} [SIAM Rev. 41, 637--676 (1999; Zbl 0983.65021)], in the case where the point sets are constrained to lie on surfaces in \({\mathbb R}^N\).
Du, Qiang, Gunzburger, Max D., Ju, Lili
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Fast Methods for Computing Centroidal Voronoi Tessellations
Journal of Scientific Computing, 2014zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hateley, James C. +2 more
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Acceleration schemes for computing centroidal Voronoi tessellations
Numerical Linear Algebra with Applications, 2006AbstractCentroidal Voronoi tessellations (CVT) have diverse applications in many areas of science and engineering. The development of efficient algorithms for their construction is a key to their success in practice. In this paper, we study some new algorithms for the numerical computation of the CVT, including the Lloyd–Newton iteration and the ...
Du, Qiang, Emelianenko, Maria
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