@inproceedings{e8770faf8750446d8e772d55f262f3d7,
title = "G 2-degree reduction of disk B{\'e}zier curves",
abstract = "A disk B{\'e}zier curve is a B{\'e}zier curve whose control points are disks. It can be considered as a parametric curve with error tolerances. In this paper, we propose method to find G2-multi degree reduction of disk B{\'e}zier curves based on two stages. The center and the radius curves are degree reduced using G2-continuity in the first stage and minimizing the error of approximating the radius curve in the second stage. We give some examples and figures to demonstrate the efficiency of the method.",
keywords = "Disk B{\'e}zier curves, G-continuity, and G-continuity, degree reduction",
author = "Abedallah Rababah and Hamza, {Yusuf Fatihu}",
note = "Publisher Copyright: {\textcopyright} 2016 Author(s).; International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015 ; Conference date: 23-09-2015 Through 29-09-2015",
year = "2016",
month = jun,
day = "8",
doi = "10.1063/1.4951818",
language = "English",
series = "AIP Conference Proceedings",
publisher = "American Institute of Physics Inc.",
editor = "Simos, {Theodore E.} and Simos, {Theodore E.} and Charalambos Tsitouras and Simos, {Theodore E.}",
booktitle = "International Conference of Numerical Analysis and Applied Mathematics 2015, ICNAAM 2015",
}