63 citations · 220 across the 18 of their papers we have counts for
Showing 2009Show all
2 papers · 1 filter
cs.CG2009★ 12 cited
Distance k-Sectors Exist
Keiko Imai, Akitoshi Kawamura, Jiří Matoušek +2
The bisector of two nonempty sets P and Q in a metric space is the set of all points with equal distance to P and to Q. A distance k-sector of P and Q, where k is an integer, is a…
cs.CG2009★ 9 cited
Zone Diagrams in Euclidean Spaces and in Other Normed Spaces
Akitoshi Kawamura, Jiří Matoušek, Takeshi Tokuyama
Zone diagram is a variation on the classical concept of a Voronoi diagram. Given n sites in a metric space that compete for territory, the zone diagram is an equilibrium state in t…