A general framework for the optimal approximation of circular arcs by parametric polynomial curves
Vavpetič, Aleš ; Žagar, Emil, 1969-
V članku opišemo splošen pristop h geometrijski aproksimaciji krožnih lokov s parametričnimi polinomskimi krivuljami. Pristop temelji na enakomerni aproksimaciji funkcije napake z omejitvami. ...Izpeljan je ustrezen sistem algebraičnih enačb za neznane kontrolne točke aproksimacijske krivulje v Bézierjevi obliki in podana natančna analiza rešljivosti za nekaj primerov nizkih stopenj, ki še niso bili obravnavani. Vsaj za te primere lahko rešitev zapišemo v zaključeni obliki in dokažemo optimalnost rešitve glede na poenostavljeno radialno napako. Podana je splošna domneva o optimalnosti rešitve ter nekaj numeričnih primerov, ki potrjujejo teoretične rezultate.
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