| 引用本文: | 方逵.任意三角城上的光滑插值.[J].国防科技大学学报,1989,11(2):11-18.[点击复制] |
| Fang Kui.Smooth Interpolation in Arbitrary Triangles[J].Journal of National University of Defense Technology,1989,11(2):11-18[点击复制] |
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| 任意三角城上的光滑插值 |
| 方逵 |
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(系统工程与应用数学系)
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| 摘要: |
| 文中描述了任意三角域上插值逼近的两种方法，一种是布尔和插值，一种是凸组合插值，其特点是结构简单，易于计算。文中证明了三角网格区域上的整个插值曲面是C1连续的，并指出离散化的插值曲面函数是空间散乱数据的一种光滑插值算法 |
| 关键词: 几何，计算，插值 布尔和，凸组合，离散化 |
| DOI： |
| 投稿日期：1988-05-04 |
| 基金项目: |
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| Smooth Interpolation in Arbitrary Triangles |
| Fang Kui |
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(Department of Applied Mathematics and System Engineering)
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| Abstract: |
| In this paper two interpolating approximation schemes in arbitrary triangles are described: one is Boolean sum，the other is convex combination. These interpolated surfaces are simple to construct and easy to calculate. It is shown that the whole interpolated surface in trianglular domain is C1continuous. Finally，it is pointed out that the discretization interpolating surface is a C1interpolating surface for scattered 3D data. |
| Keywords: geomtry,computing,interpolation Boolean sum,convex combination,discretization |
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