Geospatial queries (GQ) have been used in a wide variety of applications such as decision support systems, profile-based marketing, bioinformatics and GIS. Most of the existing qu...
Afsin Akdogan, Ugur Demiryurek, Farnoush Banaei Ka...
The hierarchical generalized Voronoi graph (HGVG) is a new roadmap developed for sensor-based exploration in unknown environments. This paper defines the HGVG structure: a robot c...
We develop algorithms to compute edge sequences, Voronoi diagrams, shortest path maps, the Fréchet distance, and the diameter for a polyhedral surface. Distances on the surface a...
Abstract. We give analytic inclusion-exclusion formulas for the area and perimeter derivatives of a union of finitely many disks in the plane. Keywords. Disks, Voronoi diagram, al...
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...