Hermite parametric surface interpolation based on Argyris element
Jaklič, Gašper ; Kanduč, Tadej, 1985-
V članku obravnavamo Hermiteovo interpolacijo s parametričnimi ploskvami iz zlepkov na triangulacijah. Zlepki interpolirajo točke, pripadajoče tangentne ravnine in forme normalnih ukrivljenosti pri ...ogliščih domenske triangulacije in aproksimirajo tangentne ravnine pri razpoloviščih stranic domenske triangulacije. Študiramo dve variaciji interpolacijske sheme: ▫$C^1$▫ stopnje 5 in ▫$G^1$▫ stopnje 8. Slednja je višje polinomske stopnje, vendar lahko aproksimira ploskve poljubne topologije. Konstrukcija aproksimanta je lokalna in hitra. Na koncu predstavimo nekaj numeričnih zgledov aproksimacije ploskev.
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