ON THE MAP NAVIGATION USING THE LAPLACE EQUATION

M. Andrecut () and M. K. Ali
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M. Andrecut: Department of Physics, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4, Canada
M. K. Ali: Department of Physics, University of Lethbridge, 4401 University Drive, Lethbridge, Alberta, T1K 3M4, Canada

International Journal of Modern Physics C (IJMPC), 2001, vol. 12, issue 03, 309-317

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 build such goal gradients. Inspired by this classical method, we present a more efficient cellular automaton algorithm for robotic map navigation.

Keywords: Laplace Equation; Cellular Automata; Robotic Navigation (search for similar items in EconPapers)
Date: 2001
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DOI: 10.1142/S0129183101001729

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