| 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. |
| DOI： |
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| 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. |
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| Interpolation Surface Based on Space-Mesh-Surface Distance |
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YIN Bao-cai,KONG De-hui,WU Si-ning
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| 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. |
| Key words: Radial basis function, Kriging interpolation surface, spline surface, space-mes h-surface distance. |
