Morse theory

Morse Decompositions for Coverage Tasks

Ercan U. Acar, Howie Choset, Alfred A. Rizzi, P.N. Atkar, Douglas Hull

Citations: 306 • 2002

Sensor-based Coverage of Unknown Environments: Incremental Construction of Morse Decompositions

Ercan U. Acar, Howie Choset

Citations: 172 • 2002

Exact cellular decompositions in terms of critical points of Morse functions

Howie Choset, Erdem Acar, A.A. Rizzi, Jonathan Luntz

Citations: 93 • 2002

Critical point sensing in unknown environments

Erdem Acar, Howie Choset

Citations: 45 • 2002

Configuration spaces of thick particles on a metric graph

Kenneth Deeley

Citations: 8 • 2011

Morse Graphs: Topological Tools for Analyzing the Global Dynamics of Robot Controllers

Ewerton R. Vieira, Edgar Granados, Aravind Sivaramakrishnan, Marcio Gameiro, Konstantin Mischaikow, Kostas E. Bekris

Citations: 7 • 2022

A New Application of Discrete Morse Theory to Optimizing Safe Motion Planning Paths

Aakriti Upadhyay, Boris Goldfarb, Weifu Wang, Chinwe Ekenna

Citations: 7 • 2022

<title>Sensor-based planning: exact cellular decompositions in terms of critical points</title>

Howie Choset, Ercan U. Acar, Alfred A. Rizzi, Jonathan Luntz

Citations: 7 • 2001

Homology of planar telescopic linkages

Michael Färber, Viktor Fromm

Citations: 7 • 2010

Critical configurations of planar robot arms

G. Khimshiashvili, Gaiane Panina, Dirk Siersma, Alena Zhukova

Citations: 5 • 2012

Decentralized Control of Multi-Agent Escort Formation via Morse Potential Function

Kevin Lieberman, Gregory K. Fricke, Devendra P. Garg

Citations: 3 • 2012