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IJRR
2002
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14 years 4 days ago
Morse Decompositions for Coverage Tasks
Exact cellular decompositions represent a robot's free space by dividing it into regions with simple structure such that the sum of the regions fills the free space. These de...
Ercan U. Acar, Howie Choset, Alfred A. Rizzi, Pras...
COMPGEOM
2003
ACM
14 years 5 months ago
Loops in reeb graphs of 2-manifolds
Given a Morse function over a 2-manifold with or without boundary, the Reeb graph is obtained by contracting the connected components of the level sets to points. We prove tight u...
Kree Cole-McLaughlin, Herbert Edelsbrunner, John H...