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Energy Minimizing Mountain Ascent

Author

Listed:
  • Gašper Jaklič

    (University of Ljubljana
    University of Ljubljana
    University of Primorska)

  • Tadej Kanduč

    (University of Ljubljana
    Turboinštitut)

  • Selena Praprotnik

    (University of Ljubljana)

  • Emil Žagar

    (University of Ljubljana
    University of Ljubljana)

Abstract

In this article, an optimal mountain ascent is studied as a particular problem of a human walking over a rugged terrain. First, an approximation of the terrain is constructed using particular smooth splines—macro-elements. Then a functional measuring the energy consumption along boundary curves of a macro-element is defined. Finally, the corresponding discrete problem of finding the optimal path on a mesh of curves is applied. Numerical results on real-life data indicate that computed paths are a good approximation of hiking paths in nature.

Suggested Citation

  • Gašper Jaklič & Tadej Kanduč & Selena Praprotnik & Emil Žagar, 2012. "Energy Minimizing Mountain Ascent," Journal of Optimization Theory and Applications, Springer, vol. 155(2), pages 680-693, November.
    • Handle: RePEc:spr:joptap:v:155:y:2012:i:2:d:10.1007_s10957-012-0088-4
    DOI: 10.1007/s10957-012-0088-4
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    References listed on IDEAS

    as
    1. Dirk Helbing & Joachim Keltsch & Péter Molnár, 1997. "Modelling the evolution of human trail systems," Nature, Nature, vol. 388(6637), pages 47-50, July.
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