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Optimal parametric interpolants of circular arcs
ID Vavpetič, Aleš (Author)

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Abstract
The aim of this paper is a construction of quartic parametric polynomial interpolants of a circular arc, where two boundary points of a circular arc are interpolated. For every unit circular arc of an inner angle not greater than 2π we find the best interpolant, where the optimality is measured by the simplified radial error.

Language:English
Keywords:geometric interpolation, circular arc, parametric polynomial, Bézier curve, optimal interpolation
Typology:1.01 - Original Scientific Article
Organization:FMF - Faculty of Mathematics and Physics
Year:2020
Number of pages:art. 101891 (9 str.)
Numbering:Vol. 80
PID:20.500.12556/RUL-116959 This link opens in a new window
UDC:519.651
ISSN on article:0167-8396
DOI:10.1016/j.cagd.2020.101891 This link opens in a new window
COBISS.SI-ID:19671555 This link opens in a new window
Publication date in RUL:17.06.2020
Views:1531
Downloads:426
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VAVPETIČ, Aleš, 2020, Optimal parametric interpolants of circular arcs. Computer Aided Geometric Design [online]. 2020. Vol. 80. [Accessed 16 March 2025]. DOI 10.1016/j.cagd.2020.101891. Retrieved from: https://repozitorij.uni-lj.si/IzpisGradiva.php?lang=eng&id=116959
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Record is a part of a journal

Title:Computer Aided Geometric Design
Shortened title:Comput. aided geom. des.
Publisher:North-Holland
ISSN:0167-8396
COBISS.SI-ID:25266176 This link opens in a new window

Secondary language

Language:Slovenian
Title:Optimalni parametrični interpolanti krožnih lokov
Abstract:
V članku obravnavamo konstrukcijo kvartičnih parametričnih polinomov, ki interpolirajo krožni lok tako, da se v krajiščih krivulji ujemata. Za enotski krožni lok z notranjim kotom ne večjim od 2π, konstruiramo najboljši interpolant, kjer optimalnost merimo glede na poenostavljeno radialno napako.

Keywords:geometrična interpolacija, krožni lok, parametrični polinom, Bézierova krivulja, optimalna interpolacija

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