Harmonic potential field path planning for high speed vehicles

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

“…Daily and Bevly [8] employed analytical solution for arbitrarily shaped obstacles. Meanwhile, the works by Evans [11], Evans & Yousif [12], Ibrahim [13] and Sulaiman et al [14] on block iterative methods utilized various points of Explicit Group (EG) methods.…”

“…Waydo & Murray [7] used stream functions that are similar to harmonic functions to generate motion planning for a vehicle. Daily & Bevly [8] used harmonic potential field for path planning of high speed vehicles. Garrido et al [9] used finite elements to compute harmonic functions for robotic motion.…”

Planeamiento de caminos y trayectorias mediante algoritmos genéticos y campos de potencial para un robot móvil.

“…Esta metodología ha sido ampliamente aplicada en robótica durante varios años con éxito [5], [6], [8][9][10][11][12][13]. Esencialmente, esta metodología trata a todos los elementos del área de trabajo como elementos sometidos a fuerzas de atracción y de repulsión.…”

Path Planning for Indoor Mobile Robot using Half-Sweep SOR via Nine-Point Laplacian (HSSOR9L)

“…The standard methods are point iteration with Jacobi, Gauss-Seidel and SOR [8]. Alternatively, Daily and Bevly [9] employed analytical solution for arbitrarily shaped obstacles. Meanwhile, finite elements were used by Garrido et al [10] to compute harmonic functions for robotic motion.…”