Spatial tessellations: concepts and applications of Voronoi diagrams
Spatial tessellations: concepts and applications of Voronoi diagrams
International Journal of Robotics Research
Swap conditions for dynamic Voronoi diagrams for circles and line segments
Computer Aided Geometric Design
An Algorithm for the Medial Axis Transform of 3D Polyhedral Solids
IEEE Transactions on Visualization and Computer Graphics
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The paper presents an approach for calculation of the Voronoi network of a system of balls confined inside a cylindrical container. We propose to consider a boundary of a container as one of the elements of the system. Then the Voronoi network can be built for a system containing non-spherical particles. An explicit formula to compute the coordinates of the Voronoi vertex between a three balls and a cylinder are obtained. The approach is implemented in 3D and tested on the models of balls packing with different structure.