Computation of Voronoi diagrams using a graphics processing unit

Abstract

A parallel algorithm to compute a discrete approximation to the Voronoi diagram is presented. The algorithm, which executes in single instruction multiple data (SIMD) mode, was implemented on a high-end graphics processing unit (GPU) using NVIDIApsilas compute unified device architecture (CUDA) development environment. The performance of the resulting code is investigated and presented, and a mathematical model is developed that predicts the performance of the algorithm.