节点文献
基于Bézier曲线的两平行线间缓和曲线构造
Transition Curve between Parallel Lines Based on Bézier Curve
【摘要】 利用五次Bézier曲线,构造了一条含形状参数的两平行线间满足G2连续的缓和曲线。这条曲线在t=1/2含有唯一的曲率极值点。利用形状参数可以方便地控制曲率极值的大小和调节曲线的形状。
【Abstract】 By using quintic Bézier curve, the transition curve which is G2 continuous with a shape parameter is constructed between two parallel lines. This curve at t=1/2 contains a unique curvature extreme. It can be easily controlled curvature extremes and adjust the shape of the curve by using the shape parameter.
【关键词】 缓和曲线;
5次Bézier曲线;
平行线;
曲率单调;
【Key words】 transition curve; quintic Bézier curve; parallel lines; monotone curvature;
【Key words】 transition curve; quintic Bézier curve; parallel lines; monotone curvature;
【基金】 国家自然科学基金资助项目(61262038,61164014);江西省自然基金资助项目(2012BAB201044);景德镇市科技局资助项目
- 【文献出处】 图学学报 ,Journal of Graphics , 编辑部邮箱 ,2015年03期
- 【分类号】TP391.7
- 【被引频次】2
- 【下载频次】49