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Z najmanj truda na Šmarno goro!
Jaklič, Gašper ...
Iskanje krivulj na ploskvi z danimi omejitvami je v splošnem težak problem. Nanj naletimo npr. v gradbeništvu pri gradnji cest in železnic na razgibanem terenu. V članku se omejimo na problem iskanja ...vzpona na goro, pri katerem porabimo najmanj energije. Dane so diskretne meritve terena, na podlagi katerih s pomočjo makroelementov konstruiramo gladek opis reliefa. Energijski funkcional definiramo v odvisnosti od naklona in dolžine poti. Z izračunom energije na robovih polinomskih ploskev zastavljeni problem prevedemo na diskretni problem iskanja najcenejše poti na mreži polinomskih krivulj. Numerični rezultati kažejo, da se dobljene poti dobro ujemajo z naravnimi, kar predstavimo na primeru realnih podatkov.
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