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GPU Based Detection of Topological Changes in Voronoi Diagrams

Massimo Bernaschi, Matteo Lulli, Mauro Sbragaglia
Istituto per le Applicazioni del Calcolo CNR, Via dei Taurini 9, 00185 Rome, Italy
arXiv:1607.00908 [cond-mat.soft], (4 Jul 2016)

@article{bernaschi2016based,

   title={GPU Based Detection of Topological Changes in Voronoi Diagrams},

   author={Bernaschi, Massimo and Lulli, Matteo and Sbragaglia, Mauro},

   year={2016},

   month={jul},

   archivePrefix={"arXiv"},

   primaryClass={cond-mat.soft}

}

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The Voronoi diagrams are an important tool having theoretical and practical applications in a large number of fields. We present a new procedure, implemented as a set of CUDA kernels, which detects, in a general and efficient way, topological changes in case of dynamic Voronoi diagrams whose generating points move in time. The solution that we provide has been originally developed to identify plastic events during simulations of soft-glassy materials based on a Lattice Boltzmann model with frustrated-short range attractive and mid/long-range repulsive-interactions. Along with the description of our approach, we present also some preliminary physics results.
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