article · 2011
Motivation Problem Formulation Shortest Path Problem (SPP)
Dmitry Yershov, Steve Lavalle
Cited by 0Abstract and details only
Abstract
X f ree xI • Work or configuration space Rn • Polyhedral obstacles Xobs ⊂ Rn Xfree = Rn \\Xobs (N vertices) • Goal set Xgoal ⊂ Xfree • Initial configuration xI ∈ Xfree • Find the shortest path x ̃ : [0, 1] → Xfree • 2D problem can be solved in N log(N) time [Hershberger and Suri, 1999] • 3D problem is NP-hard
Cite this paper
Yershov, D., & Lavalle, S. (2011). Motivation Problem Formulation Shortest Path Problem (SPP).
Yershov, Dmitry, and Steve Lavalle. “Motivation Problem Formulation Shortest Path Problem (SPP).” 2011.
Yershov, Dmitry, and Steve Lavalle. 2011. “Motivation Problem Formulation Shortest Path Problem (SPP).”
Yershov, D. and Lavalle, S. (2011) ‘Motivation Problem Formulation Shortest Path Problem (SPP)’.
@article{yershov2011motivation,
title = {{Motivation Problem Formulation Shortest Path Problem (SPP)}},
author = {Yershov, Dmitry and Lavalle, Steve},
year = {2011}
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