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，它将双曲几何的凯莱-克莱因模型推广至任意凸集。本文分析了动态环境下的希尔伯特Voronoi图。此外，我们针对用户指定的凸多边形，引入了希尔伯特度量中Voronoi图的动态可视化软件。