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For motion planning in high dimensional configuration spaces, a significant computational bottleneck is collision detection.
On the generalized distance in statistics
Prasanta Chandra Mahalanobis · 1936
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A note on two problems in connexion with graphs
Edsger W Dijkstra · 1959
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A formal basis for the heuristic determination of minimum cost paths
Peter E Hart, Nils J Nilsson, and Bertram Raphael · 1968
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Non-parametric estimation of a multivariate probability density
Vassiliy A Epanechnikov · 1969
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The relative neighbourhood graph of a finite planar set
Godfried T Toussaint · 1980
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An introduction to kernel and nearest-neighbor nonparametric regression
Naomi S Altman · 1992
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Probabilistic roadmaps for path planning in high-dimensional configuration spaces
Lydia Kavraki, Petr Svestka, and Mark H Overmars · 1994
Cited alongside, same era.
Rapidly-exploring random trees: A new tool for path planning
Steven M LaValle · 1998
Cited alongside, same era.
A two level fuzzy prm for manipulation planning
Christian L Nielsen and Lydia E Kavraki · 2000
Cited alongside, same era.
Dˆ* lite
Sven Koenig and Maxim Likhachev · 2002
Cited alongside, same era.
An optimal randomised cell probe lower bound for approximate nearest neighbour searching
Amit Chakrabarti and Oded Regev · 2004
Cited alongside, same era.
Sampling-based motion planning using predictive models
Brendan Burns and Oliver Brock · 2005
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Faster sample-based motion planning using instance-based learning
Jia Pan, Sachin Chitta, and Dinesh Manocha · 2013
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Motion planning for robotic manipulators with independent wrist joints
Kalin Gochev, Venkatraman Narayanan, Benjamin Cohen, Alla Safonova, and Maxim Likhachev · 2014
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Pareto-optimal search over configuration space beliefs for anytime motion planning
Shushman Choudhury, Christopher M Dellin, and Siddhartha S Srinivasa · 2016
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High-dimensional winding-augmented motion planning with 2d topological task projections and persistent homology
Florian T Pokorny, Danica Kragic, Lydia E Kavraki, and Ken Goldberg · 2016
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