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Title:High order parametric polynomial approximation of conic sections
Authors:ID Jaklič, Gašper (Author)
ID Kozak, Jernej (Author)
ID Knez, Marjetka (Author)
ID Vitrih, Vito (Author)
ID Žagar, Emil (Author)
Files:URL http://dx.doi.org/10.1007/s00365-013-9189-z
 
Language:English
Work type:Not categorized
Typology:1.01 - Original Scientific Article
Organization:IAM - Andrej Marušič Institute
Abstract:V članku je obravnavana parametrična polinomska aproksimacija stožnic, ki ohranja obliko. Pristop je osnovan na parametrični aproksimaciji implicitno definiranih ravninskih krivulj. Polinomski aproksimanti so zapisani v zaključeni obliki in ponujajo najvišji možen red aproksimacije.
Keywords:matematika, stožnica, parametrična krivulja, implicitna krivulja, aproksimacija, mathematics, conic section, parametric curve, implicit curve, approximation
Year of publishing:2013
Number of pages:str. 1-18
Numbering:Vol. 38, iss. 1
PID:20.500.12556/RUP-7738 This link opens in a new window
ISSN:0176-4276
UDC:519.65
COBISS.SI-ID:16716121 This link opens in a new window
Publication date in RUP:03.04.2017
Views:2010
Downloads:82
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Secondary language

Language:English
Title:Aproksimacija stožnic visokega reda s parametričnimi polinomi
Abstract:In this paper, a particular shape preserving parametric polynomial approximation of conic sections is studied. The approach is based upon the parametric approximation of implicitly defined planar curves. Polynomial approximants derived are given in a closed form and provide the highest possible approximation order.


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