Homotopy

Topological Complexity of Motion Planning

Michael Färber

Citations: 380 • 2003

Topological constraints in search-based robot path planning

Subhrajit Bhattacharya, Maxim Likhachev, Vijay Kumar

Citations: 177 • 2012

EB-RRT: Optimal Motion Planning for Mobile Robots

Jiankun Wang, Max Q.‐H. Meng, Oussama Khatib

Citations: 153 • 2020

Search-Based Path Planning with Homotopy Class Constraints

Subhrajit Bhattacharya

Citations: 128 • 2010

Path Deformation Roadmaps: Compact Graphs with Useful Cycles for Motion Planning

Léonard Jaillet, Thierry Siméon

Citations: 88 • 2008

Learning to predict trajectories of cooperatively navigating agents

Henrik Kretzschmar, Markus Kuderer, Wolfram Burgard

Citations: 79 • 2014

Higher topological complexity and its symmetrization

Citations: 71 • 2014

Solving the Geometric Design Problem of Spatial 3R Robot Manipulators Using Polynomial Homotopy Continuation

Eric Lee, Constantinos Mavroidis

Citations: 67 • 2002

Path planning for a tethered mobile robot

Soonkyum Kim, Subhrajit Bhattacharya, Vijay Kumar

Citations: 66 • 2014

Polytime algorithm for the shortest path in a homotopy class amidst semi-algebraic obstacles in the plane

D. Grigoriev, Anatol Slissenko

Citations: 62 • 1998

Identification and Representation of Homotopy Classes of Trajectories for Search-based Path Planning in 3D

Subhrajit Bhattacharya, Maxim Likhachev, Vijay Kumar

Citations: 53 • 2011

Finding all real points of a complex curve

Ye Lu, Daniel J. Bates, Andrew J. Sommese, Charles W. Wampler

Citations: 47 • 2007

A comparison of homotopic path planning algorithms for robotic applications

Emili Hernández, Marc Carreras, Pere Ridao

Citations: 45 • 2014

A topological approach to using cables to separate and manipulate sets of objects

Subhrajit Bhattacharya, Soonkyum Kim, Hordur Heidarsson, Gaurav S. Sukhatme, Vijay Kumar

Citations: 44 • 2015

Higher topological complexity and its symmetrization

Citations: 41 • 2014

Exploring collision-free path planning by using homotopy continuation methods

Héctor Vázquez-Leal, Antonio Marı́n-Hernández, Yasir Khan, Ahmet Yıldırım, U. Filobello-Nino, R. Castañeda-Sheissa, V. M. Jiménez-Fernández

Citations: 38 • 2013

Numerical solution of fractional partial differential equations by numerical Laplace inversion technique

Mohammad Javidi, Bashir Ahmad

Citations: 35 • 2013

Search-Based Path Planning with Homotopy Class Constraints

Subhrajit Bhattacharya, Vijay Kumar, Maxim Likhachev

Citations: 35 • 2010

Direct Geometrico-Static Analysis of Under-Constrained Cable-Driven Parallel Robots with 4 Cables

Marco Carricato, Ghasem Abbasnejad

Citations: 34 • 2012

Sensor Beams, Obstacles, and Possible Paths

Benjamín Tovar, Fred Cohen, Steven M. LaValle

Citations: 34 • 2009