Vroni and ArcVroni: Software for and Applications of Voronoi Diagrams in Science and Engineering

We survey algorithms and software for computing Voronoi diagrams of points, line segments and circular arcs in the Euclidean plane, and report on an experimental evaluation of two state-of-the-art Voronoi codes: Held's VRONI and the Voronoi code implemented by Karavelas within the framework of the CGAL project. We conclude this survey by an extensive (albeit not comprehensive) discussion of applications of Voronoi-based algorithms in diverse fields.