Energy Minimizing Mountain Ascent

Gašper Jaklič, Tadej Kanduč, Selena Praprotnik () and Emil Žagar
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Gašper Jaklič: University of Ljubljana
Tadej Kanduč: University of Ljubljana
Selena Praprotnik: University of Ljubljana
Emil Žagar: University of Ljubljana

Journal of Optimization Theory and Applications, 2012, vol. 155, issue 2, No 20, 680-693

Abstract: 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.

Keywords: Mountain ascent; Macro-element; Minimization; Energy; Curve on a surface (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/s10957-012-0088-4

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