Voronoi tessellations

Figure 3. Irregularly shaped catalyst particles represented via Voronoi tessellation.

The Voronoi regions correspond to cells in a computer-generated foam structure. Examples of cellular structures generated by Voronoi tessellation are shown in Fig. 17. 

Fio. 17. Computer generated structure of hexagonal and random closed-cell foam obtained by Voronoi tessellation, shown as voxel representation of phase function (left), and network diagram where nodes correspond to cells and bonds to cell walls (from Salejova et ah, 2005). 

The Voronoi tessellation divides space into polyhedral regions that are closer to the center of a given particle than to any other. Joining pairs of particle centers whose Voronoi polyhedra share a face yields a dual tessellation of space into Delaunay simplices. 

Voronoi tessellation Bond valence mapping Ab initio static calculations and MD MEM... 

Surface to volume ratio for Voronoi tessellation for simulated vitreous silica. 

Rogers, J.D. and Long, R.L. 1997. Modeling hollow fiber membrane contractors using film theory, Voronoi tessellations, and facilitation factors for system with interface reactions. J. Membr. Sci. 134 1. 

Free Energy and MFPTs from Markovian MUestoning with Voronoi Tessellations... 

Fig. 5 Voronoi tessellation of the MEEP as projected onto the first two principal components PCI and PC2 in OP space. The black dots represent the initial configurations (converged SMCV string plus interpolation of additional replicas) used in the Markovian milestoning simulations. Projections of representative configurations obtained from the milestoning procedure are also shown using different colors. The region corresponding to the peak of the PMF and free energy curves (Figs. 4 and 6) is labeled...

Maragliano, L., Vanden-Eijnden, E., Roirx, B. Free energy and kinetics of conformational trarrsitions from voronoi tessellated milestorring with restraining potentials. J. Chem. Theory Comput 5, 2589-2594 (2009)... 

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