Harmonic functions are solutions to Laplace\u27s Equation. As noted in a previous paper, they can be used to advantage for potential-field path planning, since they do not exhibit spurious local minima. In this paper, harmonic functions are shown to have a number of other properties (including completeness) which are essential to robotics applications. These properties strongly recommend harmonic functions as a mechanism for robot control
Harmonic functions are solutions to Laplace’s equation that are known to have an advantage as a glob...
7. Laplace equation The Laplace equation is so important that functions that satisfy it have a speci...
A new approach to robot path planning using hyperboloid potential functions is presented in this pap...
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...
The harmonic functions have proved to be a powerful technique for motion planning in a known environ...
The harmonic potential fields, a solution to the equation of Laplace are widely used in robot pathfi...
This paper presents the application of harmonic functions computed through MSOR iterative method to ...
International audienceThis paper presents a real-time global path planning method for mobile robots ...
A method for planning smooth robot paths is presented. The method relies on the use of Laplace'...
There is a close relationship between harmonic functions— which have recently been propose...
federQnsl.mit.edu, jjsQmit.edu Motivated by fluid analogies, artificial harmonic po-tentials can eli...
This paper presents a new formulation of the artificial potential approach to the obstacle avoidance...
The harmonic potential field (HPF) approach to motion planning is shown to provide an efficient and ...
This paper reviews several uses of harmonic information in the synthesis of mechanisms and shows tha...
Harmonic functions are solutions to Laplace’s equation that are known to have an advantage as a glob...
7. Laplace equation The Laplace equation is so important that functions that satisfy it have a speci...
A new approach to robot path planning using hyperboloid potential functions is presented in this pap...
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...
The harmonic functions have proved to be a powerful technique for motion planning in a known environ...
The harmonic potential fields, a solution to the equation of Laplace are widely used in robot pathfi...
This paper presents the application of harmonic functions computed through MSOR iterative method to ...
International audienceThis paper presents a real-time global path planning method for mobile robots ...
A method for planning smooth robot paths is presented. The method relies on the use of Laplace'...
There is a close relationship between harmonic functions— which have recently been propose...
federQnsl.mit.edu, jjsQmit.edu Motivated by fluid analogies, artificial harmonic po-tentials can eli...
This paper presents a new formulation of the artificial potential approach to the obstacle avoidance...
The harmonic potential field (HPF) approach to motion planning is shown to provide an efficient and ...
This paper reviews several uses of harmonic information in the synthesis of mechanisms and shows tha...
Harmonic functions are solutions to Laplace’s equation that are known to have an advantage as a glob...
7. Laplace equation The Laplace equation is so important that functions that satisfy it have a speci...
A new approach to robot path planning using hyperboloid potential functions is presented in this pap...