Optimal parametric interpolants of circular arcs

Vavpetič, Aleš (author)

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 $2\pi$ 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
• UDC: 519.651
• ISSN on article: 0167-8396
• DOI: 10.1016/j.cagd.2020.101891
• COBISS.SI-ID: 19671555
• Publication date in RUL: 17.06.2020

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

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

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 $2\pi$, konstruiramo najboljši interpolant, kjer optimalnost merimo glede na poenostavljeno radialno napako.

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