1) Said-Bézier curves
Said-Bézier曲线
1.
Both the Tchebyshev approximation and the Tchebyshev-Padéapproximation of parametric speed of Said-Bézier curves are presented and two rational approximation functions of the offset curves of Said-Bézier curves are also obtained.
等距曲线逼近的关键在于对其参数速度的逼近,给出了Said-Bézier曲线参数速度的Tchebyshev逼近和Tchebyshev-Padé逼近,在此基础上得到了Said-Bézier曲线的等距曲线的2种有理逼近函数。
2) Said-Bézier type Ball curves
Said-Bézier型广义Ball曲线
3) Said-Ball curve
Said-Ball曲线
1.
Approximate merging of a pair of Said-Ball curves;
两相邻Said-Ball曲线的近似合并
2.
An approximation method for multi-degree reduction of Said-Ball curves;
Said-Ball曲线的降多阶逼近
3.
Extension of quartic Said-Ball curve
四次Said-Ball曲线的扩展
4) Bézier curve
Bézier曲线
1.
Analysis and comparison of algorithms for multi-degree reduction with constrained Bézier curves;
Bézier曲线约束降多阶算法的分析与比较
2.
Robot Soccer’s shooting algorithm based on Bézier curve;
基于Bézier曲线的机器人足球射门算法
3.
Fairing of cubic Bézier curves;
三次Bézier曲线的光顺
5) Bézier curves
Bézier曲线
1.
Error relationship of matched Bézier curves;
Bézier曲线拼接误差关系的研究
2.
The best approximation of nearly arc-length parameterized Bézier curves;
近似弧长参数化Bézier曲线的最佳逼近
3.
Generation and properties about quintic C-Bézier curves;
五次C-Bézier曲线的生成及其性质
6) Q-Bézier curve
Q-Bézier曲线
1.
The curve inherits the most properties of cubic Bézier curve and the shape of Q-Bézier curve can be adjusted by alerting the two shape parameters when the control polygon is maintained.
Q-Bézier曲线不仅具有三次Bézier曲线的特征,而且在控制多边形保持不变的条件下,具有形状可调性和对控制多边形更好的逼近性。
补充资料:Lamé曲线
Lamé曲线
Lame curve
I月.成曲线11月I说。.、e;几翻妞e哪恤皿l 一类平面代数曲线,在DeS口吐巴直角坐标系中它的方程具有下列形式: [、1’.f,1’_, l二二一I+l二l‘1. [“」Lb」其中m=p/q,p和q是两个互素数,。>O,b>0.如果m>O,则肠耐曲线的次数是Pq,如果,<0,则是Zpq.如果爪=1,则1刁n说曲线是一条直线,如果m=2,则是椭圆,如果m=2/3,而a二b,则是星形线(咫位。id).助赚曲线因G.U而而得名,他于1818年研究过这种曲线.
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