Sciweavers

ESA
2010
Springer

The Geodesic Diameter of Polygonal Domains

14 years 16 days ago
The Geodesic Diameter of Polygonal Domains
This paper studies the geodesic diameter of polygonal domains having h holes and n corners. For simple polygons (i.e., h = 0), it is known that the geodesic diameter is determined by a pair of corners of a given polygon and can be computed in linear time. For general polygonal domains with h 1, however, no algorithm for computing the geodesic diameter was known prior to this paper. We present first algorithms that compute the geodesic diameter of a given polygonal domain in worst-case time O(n7.73 ) or O(n7 (log n + h)). The algorithms are based on new geometric observations, part of which states as follows: the geodesic diameter of a polygonal domain can be determined by two points in its interior, and in that case there are at least five shortest paths between the two points.
Sang Won Bae, Matias Korman, Yoshio Okamoto
Added 09 Nov 2010
Updated 09 Nov 2010
Type Conference
Year 2010
Where ESA
Authors Sang Won Bae, Matias Korman, Yoshio Okamoto
Comments (0)