The Hilbert metric is a projective metric defined on a convex body which generalizes the Cayley-Klein model of hyperbolic geometry to any convex set. In this paper we analyze Hilbert Voronoi diagrams in the Dynamic setting. In addition we introduce dynamic visualization software for Voronoi diagrams in the Hilbert metric on user specified convex polygons.

翻译：希尔伯特度量是一种定义在凸体上的射影度量，它将双曲几何的Cayley-Klein模型推广到任意凸集。本文分析了动态场景下的希尔伯特Voronoi图。此外，我们还引入了用于在用户指定的凸多边形上的希尔伯特度量中，对Voronoi图进行动态可视化的软件。