Title
Shortest path queries between geometric objects on surfaces
Abstract
We consider geometric shortest path queries between arbitrary pairs of objects on a connected polyhedral surface P of genus g. The query objects are points, vertices, edges, segments, faces, chains, regions and sets of these. The surface P consists of n positively weighted triangular faces. The cost of a path on P is the weighted sum of Euclidean lengths of the sub-paths within each face of P. We present generic algorithms which provide approximate solutions.
Year
DOI
Venue
2007
10.1007/978-3-540-74472-6_7
ICCSA (1)
Keywords
Field
DocType
geometric object,approximate solution,weighted triangular,geometric shortest path query,genus g,euclidean length,weighted sum,surface p,arbitrary pair,connected polyhedral surface p,shortest path query,generic algorithm,shortest path
Discrete mathematics,Combinatorics,Vertex (geometry),Shortest path problem,Steiner point,Distance,Yen's algorithm,Shortest Path Faster Algorithm,Mathematics,K shortest path routing,Euclidean shortest path
Conference
Volume
ISSN
ISBN
4705
0302-9743
3-540-74468-1
Citations 
PageRank 
References 
1
0.39
10
Authors
4
Name
Order
Citations
PageRank
Hua Guo1101.27
Anil Maheshwari2869104.47
Doron Nussbaum38913.49
Jörg-Rüdiger Sack41099166.07