CONVEX DISTANCE FUNCTIONS IN 3-SPACE ARE DIFFERENT
Christian Icking, Rolf Klein, Ngoc-Minh Lê, Lihong Ma · Fundamenta Informaticae · 1995
The bisector systems of convex distance functions in 3-space are investigated and it is shown that there is a substantial difference to the Euclidean metric which cannot be observed in 2-space. This disproves the general belief that Voronoi diagrams