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累加弦长参数下一类C~2连续的凸样条曲线
引用本文:蔺青冲 ,袁志范 ,叶文洪.累加弦长参数下一类C~2连续的凸样条曲线[J].信阳师范学院学报(自然科学版),1990(3).
作者姓名:蔺青冲  袁志范  叶文洪
作者单位:Lin Qingchong,Yuan Zhifan,Ye Wenhong
摘    要:本文选择累加弦长作为插值曲线的参数,给出插值节点处切向的决定方法,得到平面上一类C~2连续和保凸的插值样条曲线。这类曲线具有较好的光顺性,且方法和公式简明,是一类有实用价值的样条曲线。

关 键 词:累加弦长参数  C~2连续  保凸插值  样条曲线  三次参数曲线段

A kind of C2 Continuous Convex Interpolation Spline Curve Responsive to Repeated Length of Chord parametre
Lin Qingchong,Yuan Zhifan,Ye Wenhong.A kind of C2 Continuous Convex Interpolation Spline Curve Responsive to Repeated Length of Chord parametre[J].Journal of Xinyang Teachers College(Natural Science Edition),1990(3).
Authors:Lin Qingchong  Yuan Zhifan  Ye Wenhong
Abstract:Repeated length of chord was selected as the parametre of the interpolation curve and the direction of tangent vector of the curve at link point was decided. In this way, a kind of C2 continuous convex interpolation spline curve on a place was obtained in this paper.Sucb a curve,which has better light-fairness, is of great value in practice because this method and formula are simple.
Keywords:repeated length of chord parametre  C 2 continuity  cubic para- metre curve
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