C-shaped G2 Hermite interpolation by rational cubic Bezier curve with conic precision

被引：6
|
作者：
Li, Yajuan [1 ]
Deng, Chongyang [1 ]
Ma, Weiyin [2 ]
机构：
[1] Hangzhou Dianzi Univ, Sch Sci, Hangzhou 310018, Zhejiang, Peoples R China
[2] City Univ Hong Kong, Dept Mech & Biomed Engn, Kowloon, Hong Kong, Peoples R China
来源：
COMPUTER AIDED GEOMETRIC DESIGN | 2014年 / 31卷 / 05期
关键词：
Rational conic Bezier curve; Rational cubic Bezier curve; G(2) Hermite interpolation; Conic precision;
D O I：
10.1016/j.cagd.2014.03.002
中图分类号：
TP31 [计算机软件];
学科分类号：
081202 ; 0835 ;
摘要：
We present a simple method for C-shaped G(2) Hermite interpolation by a rational cubic Bezier curve with conic precision. For the interpolating rational cubic Bezier curve, we derive its control points according to two conic Bezier curves, both matching the G(1) Hermite data and one end curvature of the given G(2) Hermite data, and the weights are obtained by the two given end curvatures. The conic precision property is based on the fact that the two conic Bezier curves are the same when the given G(2) Hermite data are sampled from a conic. Both the control points and weights of the resulting rational cubic Bezier curve are expressed in explicit form. (c) 2014 Elsevier B.V. All rights reserved.
引用
收藏
页码：258 / 264
页数：7
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