Title
Shortest paths and voronoi diagrams with transportation networks under general distances
Abstract
Transportation networks model facilities for fast movement on the plane. A transportation network, together with its underlying distance, induces a new distance. Previously, only the Euclidean and the L1 distances have been considered as such underlying distances. However, this paper first considers distances induced by general distances and transportation networks, and present a unifying approach to compute Voronoi diagrams under such a general setting. With this approach, we show that an algorithm for convex distances can be easily obtained.
Year
DOI
Venue
2005
10.1007/11602613_100
ISAAC
Keywords
Field
DocType
transportation network,transportation networks model facility,voronoi diagram,shortest path,unifying approach,general setting,general distance,convex distance,underlying distance,new distance,l1 distance
Flow network,Discrete mathematics,Combinatorics,Shortest path problem,Convex body,Computer science,Regular polygon,Voronoi diagram,Euclidean geometry
Conference
Volume
ISSN
ISBN
3827
0302-9743
3-540-30935-7
Citations 
PageRank 
References 
10
0.71
10
Authors
2
Name
Order
Citations
PageRank
Sang Won Bae118931.53
Kyung-Yong Chwa291997.10