Title
Detecting narrow passages in configuration spaces via spectra of probabilistic roadmaps
Abstract
In this paper, we explore the connection between the spectral properties of a configuration space with those of the underlying probabilistic road map. We explore this relationship in a simple motion planning example which leads to a new method of characterizing narrow passages using the so called graph Laplacian of the PRM.
Year
DOI
Venue
2010
10.1145/1774088.1774364
SAC
Keywords
Field
DocType
graph laplacian,probabilistic roadmaps,simple motion planning example,spectral property,new method,configuration space,underlying probabilistic road map,narrow passage,eigenvalues and eigenvectors,call graph,algebraic connectivity,motion planning,robotics
Motion planning,Laplacian matrix,Topology,Any-angle path planning,Spectral graph theory,Computer science,Algebraic connectivity,Probabilistic logic,Eigenvalues and eigenvectors,Configuration space
Conference
Citations 
PageRank 
References 
0
0.34
14
Authors
2
Name
Order
Citations
PageRank
Hassan Mohy-ud-Din100.34
Abubakr Muhammad230830.59