Results 151 to 160 of about 16,841 (195)

Markovian milestoning with Voronoi tessellations

The Journal of Chemical Physics, 2009
A new milestoning procedure using Voronoi tessellations is proposed. In the new procedure, the edges of Voronoi cells are used as milestones, and the necessary kinetic information about the transitions between the milestones is calculated by running molecular dynamics (MD) simulations restricted to these cells.
Eric, Vanden-Eijnden, Maddalena, Venturoli   +1 more
openaire   +2 more sources

The sectional Poisson Voronoi tessellation is not a Voronoi tessellation

Advances in Applied Probability, 1996
Is the intersection between an arbitrary but fixed plane and the spatial Poisson Voronoi tessellation a planar Voronoi tessellation? In this paper a negative answer is given to this long-standing question in stochastic geometry. The answer remains negative for the intersection between at-dimensional linear affine space and thed-dimensional Poisson ...
Chiu, S. N., van de Weygaert, R., Stoyan, D.   +2 more
openaire   +1 more source

Superposition of planar voronoi tessellations

Communications in Statistics. Stochastic Models, 2000
Summary: We study the tessellation obtained in the intersection of two independent planar Poisson-Voronoi tessellations and derive the means of its main geometrical characteristics. We distinguish six types of cell depending on the position of nuclei of the original tessellations. The intensity and the mean area of each type of cell are computed either
Baccelli, François, Gloaguen, Catherine, Zuyev, Sergei   +2 more
openaire   +1 more source

Voronoi tessellated halftone masks

2010 IEEE International Conference on Image Processing, 2010
A new algorithm to build blue noise masks using centroidal Voronoi tessellations (CVT) and a variant of Lloyd's Algorithm is presented. The algorithm takes advantage of the optimality properties of CVTs and through a modified version of Lloyd's algorithm, achieves optimization of the stacked binary patterns that build the mask.
G. J. Garateguy, G. R. Arce, D. L. Lau
openaire   +1 more source

Mahalanobis centroidal Voronoi tessellations

Computers & Graphics, 2015
Anisotropic 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
openaire   +1 more source

Hyperbolic centroidal Voronoi tessellation

Proceedings of the 14th ACM Symposium on Solid and Physical Modeling, 2010
The 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
openaire   +1 more source

Mutual Voronoi Tessellation in Spoke Pattern Convection

Physical Review Letters, 2008
Planar cellular networks are made of polygonal cells usually having an average of six sides and trivalent vertices. We analyze the topological properties of spoke patterns observed in the convection of highly viscous fluids. The competition between ascending and descending columns of fluid generates dual networks where on average cells are four sided ...
S. Mazzoni, F. Giavazzi, R. Cerbino, M. Giglio, A. Vailati   +4 more
openaire   +4 more sources

Constrained Centroidal Voronoi Tessellations for Surfaces

SIAM Journal on Scientific Computing, 2003
The 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
openaire   +1 more source

Hydration Shells in Voronoi Tessellations

2010 International Symposium on Voronoi Diagrams in Science and Engineering, 2010
An interesting property of the Voronoi tessellation is studied in the context of its application to the analysis of hydration shells in computer simulation of solutions. Namely the shells around a randomly chosen cell in a Voronoi tessellation attract extra volume from outside.
V.P. Voloshin, A.V. Anikeenko, N.N. Medvedev, A. Geiger, D. Stoyan   +4 more
openaire   +1 more source