| 一类对称插值样条和严格凸插值样条 |
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| 引用本文： | 蔺青冲 袁志范. 一类对称插值样条和严格凸插值样条[J]. 信阳师范学院学报(自然科学版), 1991, 4(4): 23-28 |
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| 作者姓名： | 蔺青冲 袁志范 |
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| 作者单位： | Lin Qingchong，Yuan Zhifan，Ye Wenhong |
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| 摘 要： | 文[1]给出一类C~2连续保凸的插值样条曲线,本文在此基础上进一步讨论(1)当插值多边形为保凸对称时,构造形状对称的C~2连续且保凸的插值样条曲线。(2)当插值多边形严格凸时,构造C~2连续且严格凸的插值样条曲线。
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| 关 键 词： | 插值样条 对称 严格凸 C^2连续 |
A Class of Symmetric Interpolation spline and Strictly Convex Interpolation Spline |
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| Lin Qingchong,Yuan Zhifan,Ye Wenhong. A Class of Symmetric Interpolation spline and Strictly Convex Interpolation Spline[J]. Journal of Xinyang Teachers College(Natural Science Edition), 1991, 4(4): 23-28 |
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| Authors: | Lin Qingchong Yuan Zhifan Ye Wenhong |
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| Abstract: | From paper 1 we have a class of C2 continuous convex interpolation spline curves, on which we give more discuss as.( 1 ) We construct interpolation spline curves which are C2 continuous con-convex and symmetric, where the interpolation polygon is con-convex.( 2 ) We construct interpolation spline curves which are C2 continuous and strict convex, where the interpolation polygon is strictly convex. |
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| Keywords: | C2 continuons con-convex strictly convex symmetric interpo- lation. |
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