The best uniform quintic approximation of circular arcs with high accuracy

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this article, the issue of the best uniform approximation of circular arc with parametrically defined polynomial curves is considered. The best uniform approximation of degree 5 to a circular arc is given in explicit form. The approximation is constructed so that the error function is the monic Chebyshev polynomial of degree 10; the error function equioscillates 11 times; the approximation order is 10. The method approximates more than the full circle with Chebyshev uniform error of 1/29.

Original languageEnglish
Title of host publicationInternational Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016
EditorsTheodore E. Simos, Theodore E. Simos, Charalambos Tsitouras
PublisherAmerican Institute of Physics Inc.
ISBN (Electronic)9780735415386
DOIs
Publication statusPublished - Jul 21 2017
Externally publishedYes
EventInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 - Rhodes, Greece
Duration: Sep 19 2016Sep 25 2016

Publication series

NameAIP Conference Proceedings
Volume1863
ISSN (Print)0094-243X
ISSN (Electronic)1551-7616

Other

OtherInternational Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016
Country/TerritoryGreece
CityRhodes
Period9/19/169/25/16

Keywords

  • Bezier curves
  • CAD
  • approximation order
  • circular arc
  • equioscillation
  • high accuracy
  • quintic approximation

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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