摘要
给出了带有参数λ的三次三角多项式样条曲线.与三次B样条曲线类似.曲线的每一段由相继的4个控制顶点生成.对于等距节点,在一般情况下,曲线达到了C3连续.λ有明显的几何意义,λ越大,曲线越逼近控制多边形.还给出了用此种曲线表示椭圆和整圆的方法.
Presented a cubic trigonometric polynomial spline curves with shape parameter.As the cubic B-spline curves,each trigonometric polynomial curve segment was generated by four consecutive control points.For equidistant knots,the trigonometric polynomial spline curves were C3 continuous.Parameter λ affected geometric property of curves,the curve came nearer the control polygon.The way to represent ellipse and circle precisely was also given.
出处
《北京服装学院学报（自然科学版）》
CAS
北大核心
2008年第3期50-55,共6页
Journal of Beijing Institute of Fashion Technology：Natural Science Edition
基金
北京市属市管高等学校人才强教计划资助项目
关键词
样条曲线
三角多项式
形状参数
spline curve
trigonometric polynomial
shape parameter
