On geometric interpolation of circle-like curves

被引：13
作者：
Jaklic, Gasper
Kozak, Jernej
Krajnc, Marjeta
Zagar, Emil
机构：
[1] IMFM, Ljubljana, Slovenia
[2] FMF, Ljubljana, Slovenia
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2007年 / 24卷 / 05期
关键词：
interpolation; approximation; parametric curve; circular arc;
D O I：
10.1016/j.cagd.2007.03.002
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
In this paper, geometric interpolation of certain circle-like curves by parametric polynomial curves is studied. It is shown that such an interpolating curve of degree n achieves the optimal approximation order 2n, the fact already known for particular small values of n. Furthermore, numerical experiments suggest that the error decreases exponentially with growing n. (C) 2007 Elsevier B.V. All rights reserved.
引用
收藏
页码：241 / 251
页数：11
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