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| 一种基于超曲面样条函数的三维空间插值方法 | |
| 引用本文： | 芮小平,余志伟,郁福梅.一种基于超曲面样条函数的三维空间插值方法[J].地理与地理信息科学,2006,22(6):21-23,29. |
| 作者姓名： | 芮小平 余志伟 郁福梅 |
| 作者单位： | 1. 北京交通大学轨道交通控制与安全国家重点实验室,北京,100044 2. 中国矿业大学资源与安全工程学院,北京,100083 3. 宿州市交通局,安徽,宿州,234000 |
| 基金项目： | 北京交通大学校基金项目(2005SM029) |
| 摘 要： | 将二维曲面样条函数插值法进一步引申,提出一种基于超曲面样条函数进行三维空间插值的新方法,介绍超曲面样条函数的构造方法,给出利用该方法进行三维空间插值的数值实现过程。最后以插值形成三维空间规则数据场为例,证明利用超曲面样条函数法进行三维空间插值的可行性和准确性。 |
| 关 键 词： | 曲面样条函数 超曲面样条函数 三维插值 |
| 文章编号： | 1672-0504（2006）06-0021-03 |
| 收稿时间： | 2005-06-30 |
| 修稿时间： | 2005-06-302005-09-27 |
A 3D Interpolation Method Based on Hypersurface Spline |
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| RUI Xiao-ping,YU Zhi-wei,YU Fu-mei.A 3D Interpolation Method Based on Hypersurface Spline[J].Geography and Geo-Information Science,2006,22(6):21-23,29. | |
| Authors: | RUI Xiao-ping YU Zhi-wei YU Fu-mei |
| Institution: | 1. State Key Laboratory of Rail Traffic Control and Safety, Beijing Jiaotong University, Beijing 100044 ;2. School of Resource Development Engineering, CUMT , Beijing 100083; 3. Suzhou Traffic Management Bureau, Suzhou 234000, China |
| Abstract: | Interpolation in 3D space is an important data process approach. This paper extends the surface spline method of 2D interpolation and brings out a new 3D interpolation method--hypersurface spline method. The method of constructing the hypersurface spline function and the numerical implement procedure of 313 interpolation by the means of hypersurface spline function is also presented in this paper. Finally, it gives an example that generating regular 313 spatial data.set based on the interpolation of hypersurface spline, it testifies the feasibility and veracity of this method. |
| Keywords: | surface spline hypersurface spline three-dimensional interpolation |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ | |