Harmonic function

Real-time obstacle avoidance using harmonic potential functions

J.-O. Kim, P.K. Khosla

Citations: 564 • 2002

Real-time obstacle avoidance using harmonic potential functions

J.-O. Kim, P.K. Khosla

Citations: 519 • 1992

The applications of harmonic functions to robotics

Christopher I. Connolly, Roderic A. Grupen

Citations: 288 • 1993

Real-time path planning using harmonic potentials in dynamic environments

Hans Jacob S. Feder, J.-J.E. Slotine

Citations: 107 • 2002

Robot navigation using a pressure generated mechanical stress field: "the biharmonic potential approach"

Ahmad A. Masoud, S.A. Masoud, M.M. Bayoumi

Citations: 59 • 2002

Applications of harmonic functions to robotics

Christopher I. Connolly

Citations: 56 • 2003

Harmonic Functions and Collision Probabilities

Christopher I. Connolly

Citations: 47 • 1997

Robotic Motion Using Harmonic Functions and Finite Elements

Santiago Garrido, Luís Moreno, Dolores Blanco, Fernando Martín Monar

Citations: 39 • 2009

Harmonic functions and collision probabilities

Christopher I. Connolly

Citations: 35 • 2002

Autonomous Learning Architecture for Environmental Mapping

Edson Prestes e Silva, Marco Idiart, Marcelo Trevisan, Paulo Martins Engel

Citations: 28 • 2004

Harmonic Potential Field Method for Autonomous Ship Navigation

Chaojian Shi, Mingming Zhang, Jing Peng

Citations: 22 • 2007

Comparing harmonic functions and potential fields in the trajectory control of mobile robots

Gedson Faria, Roseli Aparecida Francelin Romero, Edson Prestes, Marco Idiart

Citations: 15 • 2005

Harmonic control (robot applications)

Christopher I. Connolly, Roderic A. Grupen

Citations: 15 • 2003

Sensor-based robot path planning using harmonic function-based probabilistic roadmaps

M. Kazemi, Mehran Mehrandezh, Kamal Gupta

Citations: 14 • 2006

Autonomous Mobile Robot Navigation Using Harmonic Potential Field

Subbash Panati, Bayanjargal Baasandorj, Kil To Chong

Citations: 10 • 2015

A comparative study of Dirichlet and Neumann conditions for path planning through harmonic functions

Madhuri Karnik, Bhaskar DasGupta, V. Eswaran

Citations: 9 • 2004

Application of harmonic functions through Modified SOR (MSOR) method for robot path planning in indoor structured environment

Azali Saudi, Jumat Sulaiman

Citations: 7 • 2017

A Comparative Study of Dirichlet and Neumann Conditions for Path Planning through Harmonic Functions

Madhuri Karnik, Bhaskar DasGupta, V. Eswaran

Citations: 5 • 2002

Efficient Path Planning Using Harmonic Functions Computed on a Non-regular Grid

P. Iniguez, Jan Rosell

Citations: 4 • 2002

Rotated TOR-5P Laplacian Iteration Path Navigation for Obstacle Avoidance in Stationary Indoor Simulation

A. A. Dahalan, Azali Saudi

Citations: 4 • 2021