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High order parametric polynomial approximation of quadrics in ▫${\mathbb R}^d$▫
Jaklič, Gašper ...
V članku je obravnavana aproksimacija implicitno podatih kvadrik v ▫${\mathbb R}^d$▫ s parametričnimi polinomskimi hiperploskvami. Konstrukcija temelji na minimizaciji napake, ki sledi iz implicitne ...enačbe kvadrike, aproksimant pa je podan v zaključeni obliki. Obravnavan pristop prav tako minimizira normalno razdaljo med kvadriko in polinomsko hiperploskvijo. Asimptotična analiza pove,da razdalja pada vsaj eksponentno z rastočo stopnjo polinoma. Numerični primeri za prostorske kvadrike potrjujejo dobljene teoretične rezultate.
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