| 最短二次样条插值研究 |
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| 引用本文： | 陈刚,高尚. 最短二次样条插值研究[J]. 科学技术与工程, 2011, 11(8): 1769-1772 |
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| 作者姓名： | 陈刚 高尚 |
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| 作者单位： | 江苏科技大学计算机科学与工程学院,镇江,212003 |
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| 基金项目： | "青蓝工程"资助 |
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| 摘 要： | 样条技术在计算机辅助设计,计算机辅助制造,和计算机图形系统得到了广泛应用。分析了二次样条函数插值的条件,给出了其中一种边值条件二次样条插值的求解方法。在分析了样条函数插值基础上,提出最短二次样条插值问题,并提出用黄金分割法解决该问题。最后给出了实例来说明求解方法。
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| 关 键 词： | 二次样条函数 插值 黄金分割法 |
| 收稿时间： | 2010-12-11 |
| 修稿时间： | 2010-12-30 |
Research on the Shortest Quadratic Spline Interpolation |
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| CHEN Gang and GaoShang. Research on the Shortest Quadratic Spline Interpolation[J]. Science Technology and Engineering, 2011, 11(8): 1769-1772 |
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| Authors: | CHEN Gang and GaoShang |
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| Affiliation: | Jiangsu University of Science and Technology, |
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| Abstract: | The spline technology has applications widely in CAD, CAM, and computer graphics systems. The qualification of quadratic spline interpolation is discussed firstly. The solutions of quadratic spline interpolation on one kind of boundary conditions are given. Based on analysis of quadratic spline interpolation, the shortest quadratic spline interpolation is discussed. Furthermore, golden section method is put forward to solve this problem. At last, computation methods are illustrated by examples. |
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| Keywords: | quadratic spline interpolation golden section method |
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