We consider finite sets of oriented spheres in Rk−1 and, by interpreting such spheres as points in Rk , study the Voronoi diagrams they induce for several variants of distance ...
Franz Aurenhammer, Johannes Wallner, Martin Petern...
Given a set of spheres in 3D, constructing its Voronoi diagram in Euclidean distance metric is not easy at all even though many mathematical properties of its structure are known....
Despite its important applications in various disciplines in science and engineering, the Euclidean Voronoi diagram for spheres, also known as an additively weighted Voronoi diagr...
This movie illustrates exact construction and maintenance of arrangements induced by arcs of great circles embedded on the sphere, also known as geodesic arcs, and exact computati...