The harmonic functions have proved to be a powerful technique for motion planning in a known environment. They have two important properties: given an initial point and an objective in a connected domain, a unique path exists between those points. This path is the maximum gradient path of the harmonic function that begins in the initial point and ends in the goal point. The second property is that the harmonic function cannot have local minima in the interior of the domain (the objective point is considered as a border). This paper proposes a new method to solve Laplace's equation. The harmonic function solution with mixed boundary conditions provides paths that verify the smoothness and safety considerations required for mobile r...
Abstract — This paper addresses the problem of efficiently computing robot navigation functions. Nav...
This paper presents the application of harmonic functions computed through MSOR iterative method to ...
Autonomous path navigation is one of the important studies in robotics since a robot’s ability to na...
The harmonic functions have proved to be a powerful technique for motion planning in a known environ...
Harmonic functions are solutions to Laplace's Equation. As noted in a previous paper, they can ...
Harmonic functions are solutions to Laplace's equation. Such functions can be used to advantage...
International audienceThis paper presents a real-time global path planning method for mobile robots ...
Mobile robots are always in a state where they have to find a collision-free path in their environme...
A method for planning smooth robot paths is presented. The method relies on the use of Laplace'...
The harmonic potential fields, a solution to the equation of Laplace are widely used in robot pathfi...
This paper presents a new formulation of the artificial potential approach to the obstacle avoidance...
Lately, autonomous navigation has undergone constant research to develop superior path searching cap...
Harmonic functions are solutions to Laplace’s equation that are known to have an advantage as a glob...
In this paper, a robust searching algorithm to generate path planning for mobile robot is proposed. ...
Essentially, a truly autonomous mobile robot be capable of finding its own path from start to goal l...
Abstract — This paper addresses the problem of efficiently computing robot navigation functions. Nav...
This paper presents the application of harmonic functions computed through MSOR iterative method to ...
Autonomous path navigation is one of the important studies in robotics since a robot’s ability to na...
The harmonic functions have proved to be a powerful technique for motion planning in a known environ...
Harmonic functions are solutions to Laplace's Equation. As noted in a previous paper, they can ...
Harmonic functions are solutions to Laplace's equation. Such functions can be used to advantage...
International audienceThis paper presents a real-time global path planning method for mobile robots ...
Mobile robots are always in a state where they have to find a collision-free path in their environme...
A method for planning smooth robot paths is presented. The method relies on the use of Laplace'...
The harmonic potential fields, a solution to the equation of Laplace are widely used in robot pathfi...
This paper presents a new formulation of the artificial potential approach to the obstacle avoidance...
Lately, autonomous navigation has undergone constant research to develop superior path searching cap...
Harmonic functions are solutions to Laplace’s equation that are known to have an advantage as a glob...
In this paper, a robust searching algorithm to generate path planning for mobile robot is proposed. ...
Essentially, a truly autonomous mobile robot be capable of finding its own path from start to goal l...
Abstract — This paper addresses the problem of efficiently computing robot navigation functions. Nav...
This paper presents the application of harmonic functions computed through MSOR iterative method to ...
Autonomous path navigation is one of the important studies in robotics since a robot’s ability to na...