| 基于空间网格表面距离的插值曲面 |
| |
| 引用本文： | 尹宝才,孔德慧,吴思宁. 基于空间网格表面距离的插值曲面[J]. 软件学报, 2000, 11(10): 1405-1411 |
| |
| 作者姓名： | 尹宝才 孔德慧 吴思宁 |
| |
| 作者单位： | 北京工业大学计算机学院,北京,100022 |
| |
| 基金项目： | 本文研究得到国家863高科技项目基金(No.863-306-ZT03-01-2)、北京市教委科 技发展计划基金(No.97070500)和北京市跨世纪人才工程(No.98070501)资助. |
| |
| 摘 要： | 主要讨论基于空间网格表面距离的插值曲面.定义了一种空间网格表面距离,基于空间网格表 面距离,给出了两种定义在空间网格上的插值曲面：基于网格表面距离的径向基函数插值曲 面和基于网格表面距离的Kriging插值曲面,讨论了曲面的无穷阶光滑性,给出了一种计算网 格表面距离的折线跟踪算法.作为整体曲面,此类插值曲面与网格表面形状较为相符,比较适 合于局部插值与参数估计,如梯度、法方向的估计等计算.
|
| 关 键 词： | 径向基函数 Kriging插值曲面 样条曲面 空间网 格表面距离. |
| 收稿时间： | 1999-01-12 |
| 修稿时间： | 1999-09-07 |
Interpolation Surface Based on Space-Mesh-Surface Distance |
| |
| YIN Bao-cai,KONG De-hui and WU Si-ning. Interpolation Surface Based on Space-Mesh-Surface Distance[J]. Journal of Software, 2000, 11(10): 1405-1411 |
| |
| Authors: | YIN Bao-cai KONG De-hui WU Si-ning |
| |
| Affiliation: | Computer Institute Beijing Polytechnic University Beijing 100022 |
| |
| Abstract: | In this paper, the concept of space-mesh-surface distance is introduced. Base d on the space-mesh-surface distance, two kinds of interpolation surfaces defi ned on space-mesh-surface of triangulation are constructed. They are space-me sh-surface distance based radial basis function interpolation surface and Krigi ng interpolation surface. The infinite smoothness of the surface is discussed fo r those points that have unique distance path on space-mesh-surface. An algori thm for computing space-mesh-surface distance, named broken line tracing metho d, is given. As a whole interpolation surface, they are well in consistence with the space-mesh-surface in shapes and are suitable to be applied in local shap e estimation, such as gradient and direction estimations. |
| |
| Keywords: | Radial basis function Kriging interpolation surface spline surface space-mes h-surface distance. |
| 本文献已被 CNKI 维普 万方数据 等数据库收录！ |
| 点击此处可从《软件学报》浏览原始摘要信息 |
|
点击此处可从《软件学报》下载全文 |
|
