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On The Map Navigation Using The Laplace Equation

Author

Listed:
  • 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)

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.

Suggested Citation

  • M. Andrecut & M. K. Ali, 2001. "On The Map Navigation Using The Laplace Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 12(03), pages 309-317.
    • Handle: RePEc:wsi:ijmpcx:v:12:y:2001:i:03:n:s0129183101001729
    DOI: 10.1142/S0129183101001729
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