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Energy minimizing mountain ascentTadej Kanduč,
Gašper Jaklič,
Selena Praprotnik,
Emil Žagar, 2012, original scientific article
Abstract: In this article, an optimal mountain ascent is studied as a particular problemof 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.
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Keywords: mountain ascent, macro-element, minimization, energy, curve on a surface
Published: 15.10.2013; Views: 2566; Downloads: 92
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