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IPPS
1998
IEEE
13 years 9 months ago
Capturing the Connectivity of High-Dimensional Geometric Spaces by Parallelizable Random Sampling Techniques
Abstract. Finding paths in high-dimensional gemetric spaces is a provably hard problem. Recently, a general randomized planning scheme has emerged as an e ective approach to solve ...
David Hsu, Lydia E. Kavraki, Jean-Claude Latombe, ...
NIPS
2001
13 years 6 months ago
Laplacian Eigenmaps and Spectral Techniques for Embedding and Clustering
Drawing on the correspondence between the graph Laplacian, the Laplace-Beltrami operator on a manifold, and the connections to the heat equation, we propose a geometrically motiva...
Mikhail Belkin, Partha Niyogi
ICRA
2000
IEEE
117views Robotics» more  ICRA 2000»
13 years 9 months ago
Kinodynamic Motion Planning Amidst Moving Obstacles
This paper presents a randomized motion planner for kinodynamic asteroidavoidanceproblems, in which a robot must avoid collision with moving obstacles under kinematic, dynamic con...
Robert Kindel, David Hsu, Jean-Claude Latombe, Ste...