We develop algorithms to compute Voronoi diagrams, shortest path maps, and the Fr´echet distance in the plane with polygonal obstacles. Distances between points are measured eithe...
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. CAT(0) metric spaces constitute a far-reaching common generalization of Euclidean and hyperbolic spaces and simple polygons: any two points x and y of a CAT(0) metric spa...
We study the shortest path problem in weighted polygonal subdivisions of the plane, with the additional constraint of an upper bound, k, on the number of links (segments) in the pa...
Ovidiu Daescu, Joseph S. B. Mitchell, Simeon C. Nt...
Given a set of nonintersecting polygonal obstacles in the plane, the link distance between two points s and t is the minimum number of edges required to form a polygonal path conn...