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曲率变化率最小约束下的五次Hermite插值曲线
引用本文:刘福保,李卫国,叶文华.曲率变化率最小约束下的五次Hermite插值曲线[J].数学理论与应用,2010(1):105-109.
作者姓名:刘福保  李卫国  叶文华
作者单位:长沙民政职业技术学院数学系;南京航天航空大学机电学院;
摘    要:本文提出了在曲率变化率最小约束条件下的五次Hermite插值曲线算法,与传统的Hermite插值曲线算法相比,利用该算法获得的插值曲线具有更均匀的曲率分布,曲线更光顺,质量更好。

关 键 词:Hermite曲线  插值  曲率  光顺

Quintic Hermite Curve Interpolation by the Constraint of Minimum Curvature Variation
Liu Fubao Li Weiguo Ye Wenhua.Quintic Hermite Curve Interpolation by the Constraint of Minimum Curvature Variation[J].Mathematical Theory and Applications,2010(1):105-109.
Authors:Liu Fubao Li Weiguo Ye Wenhua
Institution:1.Department of Mathematics/a>;Changsha Social Work College/a>;Changsha/a>;410004;2.College of Mechanical and Electrical Engineering/a>;Nanjing University of Aeronautics & Astronautics/a>;Nanjing/a>;210007
Abstract:This paper presented a method for quintic hermite curve interpolation by the constraint of minimum curvature variation.Compared to the traditional Hermite interpolation method,our method can acquire better curvature distribution along the interpolated curve,this makes the curve be more smoother and higher quality.
Keywords:Hermite curve Interpolation Curvature Smooth  
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