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：Hilbert度量是定义在凸体上的射影度量，将Cayley-Klein超几何模型推广到任意凸集。本文分析了Hilbert度量下的动态Voronoi图。另外，我们还介绍了基于用户指定凸多边形的Hilbert度量下Voronoi图的动态可视化软件。