On the map navigation using the Laplace equation

Authors
Andrecut, M Ali, MK
Citation
M. Andrecut et Mk. Ali, On the map navigation using the Laplace equation, INT J MOD C, 12(3), 2001, pp. 309-317
Citations number
8
Categorie Soggetti
Physics
Journal title
INTERNATIONAL JOURNAL OF MODERN PHYSICS C
ISSN journal
01291831 → ACNP
Volume
12
Issue
3
Year of publication
2001
Pages
309 - 317
Database
ISI
SICI code
0129-1831(200103)12:3<309:OTMNUT>2.0.ZU;2-T
Abstract
In the framework of vectorial field analysis, the problem of map navigation can be reduced to the construction of the appropriate goal gradients. The solution of the Laplace equation with boundary conditions can be used to bu ild such goal gradients. Inspired by this classical method, we present a mo re efficient cellular automaton algorithm for robotic map navigation.