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| 函数的分段有理二次B样条插值 | |
| 引用本文： | 梁锡坤. 函数的分段有理二次B样条插值[J]. 计算机应用与软件, 2011, 0(10) |
| 作者姓名： | 梁锡坤 |
| 作者单位： | 杭州师范大学杭州国际服务工程学院; |
| 摘 要： | 通过对函数进行合理分割,给出函数分段三角形凸包的概念。提出了以分段区间端点的两条切线确定控制多边形的方案。详细地讨论了函数的分段参数有理二次B样条插值算法。插值函数保持了原始函数的一些重要几何性质、如单调性、凹凸性、G1连续性。数值实验表明,算法提供了函数近似表示的一条有效途径。 |
| 关 键 词： | 函数分割 三角形凸包 有理二次B样条 插值 算法 |
FUNCTION SEGMENTAL RATIONAL QUADRATIC B-SPLINE INTERPOLATION |
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| Liang Xikun. FUNCTION SEGMENTAL RATIONAL QUADRATIC B-SPLINE INTERPOLATION[J]. Computer Applications and Software, 2011, 0(10) | |
| Authors: | Liang Xikun |
| Affiliation: | Liang Xikun(Hangzhou Insititute of Service Engineering,Hangzhou Normal University,Hangzhou 310012,Zhejiang,China) |
| Abstract: | The concept of function segmental triangle convex hull is introduced on the basis of rational segmentation of functions.A scheme of control polygon determination by the two tangents of the segment interval endpoints is provided.The function segmental parameter rational quadratic B-spline interpolation algorithm is discussed in detail.The interpolated function keeps some important geometric features,such as monotonicity,convexity,and G1 continuity,from the original function.Numerical experiments show that th... |
| Keywords: | Function segmentation Triangle convex hull Rational quadratic B-spline Interpolation Algorithm |
| 本文献已被 CNKI 等数据库收录！ | |