Gašper Jaklič (Author), Tadej Kanduč (Author), Selena Praprotnik (Author), Emil Žagar (Author)

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.

Keywords

mountain ascent;macro-element;minimization;energy;curve on a surface;

Data

Language: English
Year of publishing:
Typology: 1.01 - Original Scientific Article
Organization: UP - University of Primorska
UDC: 519.65
COBISS: 4382935 Link will open in a new window
ISSN: 0022-3239
Views: 3207
Downloads: 99
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Other data

Secondary language: Unknown
Secondary keywords: makroelementi;energijski funkcional;polinomske krivulje;optimizacija;
Type (COBISS): Not categorized
Pages: str. 680-693
Volume: ǂVol. ǂ155
Issue: ǂis. ǂ2
Chronology: 2012
Keywords (UDC): mathematics;natural sciences;naravoslovne vede;matematika;mathematics;matematika;computational mathematics;numerical analysis;računska matematika;numerična analiza;
DOI: 10.1007/s10957-012-0088-4
ID: 1482593