Title
Path Planning Above A Polyhedral Terrain
Abstract
We consider the problem of path planning above a polyhedral terrain and present a new algorithm that for any p >= 1, computes a (c + epsilon)-approximation to the L-p-shortest path above a polyhedral terrain in O(n/epsilon log n log log n) time and O(n log n) space, where n. is the number of vertices of the terrain, and c = 2((p-1)/p). This leads to an E-approximation algorithm for the problem in L-1 metric, and a (root 2 + epsilon)-factor approximation algorithm in Euclidean space.
Year
DOI
Venue
2006
10.1109/ROBOT.2006.1641819
2006 IEEE INTERNATIONAL CONFERENCE ON ROBOTICS AND AUTOMATION (ICRA), VOLS 1-10
Keywords
DocType
Volume
computational complexity,approximation theory,euclidean space,robots,approximation algorithm,path planning,computer science,shortest path,shortest path problem,motion planning,approximation algorithms,euclidean distance
Conference
2006
Issue
ISSN
Citations 
1
1050-4729
0
PageRank 
References 
Authors
0.34
7
1
Name
Order
Citations
PageRank
Hamid Zarrabi-Zadeh111113.63