摘要
通过加入参数节点离散B啨ｚｉｅｒ曲线 ,根据原B啨ｚｉｅｒ曲线的始末端点及其切向量 ,加入节点构造一条G1 连续的三次PH样条曲线 ,以此作为原B啨ｚｉｅｒ曲线的逼近曲线 ,并进一步产生等距线
A given Bézier curve is subdivided into several segments by inserting knots A cubic Pythagorean Hogograph spline is constructed according to the conditions of endpoints and endpoint tangent vectors of each subdivision This kind of PH spline can be regarded as an approximation for the Bézier curve and its offset The errors between Bézier curve and PH spline, the offset to Bézier curve and the offset to PH spline are also estimated
出处
《计算机辅助设计与图形学学报》
EI
CSCD
北大核心
2004年第3期324-330,共7页
Journal of Computer-Aided Design & Computer Graphics
基金
国家自然科学基金 ( 10 3 71110 )
国家重点基础研究发展计划( 2 0 0 2CB3 12 10 1)资助
