@inproceedings{11296e59e3c14a98ac596f7e538b564c,
title = "The best uniform quintic approximation of circular arcs with high accuracy",
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.",
keywords = "Bezier curves, CAD, approximation order, circular arc, equioscillation, high accuracy, quintic approximation",
author = "Abedallah Rababah",
note = "Publisher Copyright: {\textcopyright} 2017 Author(s).; International Conference of Numerical Analysis and Applied Mathematics 2016, ICNAAM 2016 ; Conference date: 19-09-2016 Through 25-09-2016",
year = "2017",
month = jul,
day = "21",
doi = "10.1063/1.4992219",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics, ICNAAM 2016",
}