Laplace's equation

Path planning using Laplace's equation

Christopher I. Connolly, J. Brian Burns, Richard Weiss

Citations: 478 • 2002

The applications of harmonic functions to robotics

Christopher I. Connolly, Roderic A. Grupen

Citations: 288 • 1993

Deadlock-free motion planning using the Laplace potential field

Keisuke Sato

Citations: 73 • 1992

Robotic Motion Using Harmonic Functions and Finite Elements

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

Citations: 39 • 2009

Modeling and analysis of electric field and electrostatic adhesion force generated by interdigital electrodes for wall climbing robots

Rui Chen, Rong Liu, Hua Shen

Citations: 25 • 2013

PATH PLANNING SIMULATION USING HARMONIC POTENTIAL FIELDS THROUGH FOUR POINT-EDGSOR METHOD VIA 9-POINT LAPLACIAN

Azali Saudi, Jumat Sulaiman

Citations: 18 • 2016

Robot Path Planning Using Four Point-Explicit Group Via Nine-Point Laplacian (4EG9L) Iterative Method

Azali Saudi, Jumat Sulaiman

Citations: 17 • 2012

Path Planning for Mobile Robot using 4EGSOR via Nine-Point Laplacian (4EGSOR9L) Iterative Method

Azali Saudi, Jumat Sulaiman

Citations: 10 • 2012

Robot path planning using Laplacian Behaviour-Based Control (LBBC) via Half-Sweep SOR

Azali Saudi, Jumat Sulaiman

Citations: 9 • 2013

Computationally Efficient Harmonic-Based Reactive Exploration

Panagiotis D. Grontas, Panagiotis Vlantis, Charalampos P. Bechlioulis, Kostas J. Kyriakopoulos

Citations: 8 • 2020

Measurement of two-dimensional electrical potential fields in CFRP using four-probe resistance scans

Patrick Scholle, Michael Sinapius

Citations: 7 • 2021

Computational evaluation of Laplace artificial potential field methods for real-time obstacle avoidance in Gazebo

Ihor Berizka, Ivan Karbovnyk

Citations: 5 • 2025

Fast robot path planning with Laplacian Behaviour-Based control via four-point explicit decoupled group SOR

Azali Saudi, Jumat Sulaiman, Mohd Hanafi Ahmad Hijazi

Citations: 5 • 2014

Laplacian Behaviour-Based Control for Robot Path Planning using Full-Sweep Successive Over-Relaxation via Nine-Point Laplacian (FSSOR9L)

Azali Saudi, Jumat Sulaiman

Citations: 4 • 2012

Numerical streamline path planning based on log-space harmonic potential function: A simulation study

Han-Jung Chou, Pei-Li Kuo, Jing‐Sin Liu

Citations: 4 • 2017

Path planning of indoor mobile robot using harmonic potentials via half-sweep modified SOR method

Sumiati Suparmin, Azali Saudi

Citations: 3 • 2017

Pathfinding for Mobile Robot Navigation by Exerting the Quarter-Sweep Modified Accelerated Overrelaxation (QSMAOR) Iterative Approach via the Laplacian Operator

A. A. Dahalan, Azali Saudi, Jumat Sulaiman

Citations: 3 • 2022

An iterative technique for solving path planning in identified environments by using a skewed block accelerated algorithm

A. A. Dahalan, Azali Saudi

Citations: 3 • 2022

Robot Path Planning using Laplacian Behaviour-Based Control via Half-Sweep Gauss-Seidel (LBBC-HSGS) Iterative Method

Azali Saudi, Jumat Sulaiman

Citations: 3 • 2013

Pathfinding algorithm based on rotated block AOR technique in structured environment

A. A. Dahalan, Azali Saudi

Citations: 3 • 2022