Title
From Constrained Delaunay Triangulations to Roadmap Graphs with Arbitrary Clearance.
Abstract
This work studies path planning in two-dimensional space, in the presence of polygonal obstacles. We specifically address the problem of building a roadmap graph, that is, an abstract representation of all the paths that can potentially be followed around a given set of obstacles. Our solution consists in an original refinement algorithm for constrained Delaunay triangulations, aimed at generating a roadmap graph suited for planning paths with arbitrary clearance. In other words, a minimum distance to the obstacles can be specified, and the graph does not have to be recomputed if this distance is modified. Compared to other solutions, our approach has the advantage of being simpler, as well as significantly more efficient.
Year
Venue
Field
2016
arXiv: Computational Geometry
Motion planning,Graph,Combinatorics,Polygon,Artificial intelligence,Constrained Delaunay triangulation,Robotics,Mobile robot,Mathematics,Delaunay triangulation
DocType
Volume
Citations 
Journal
abs/1606.02055
0
PageRank 
References 
Authors
0.34
3
2
Name
Order
Citations
PageRank
Stéphane Lens100.34
Bernard Boigelot270748.59