| 散乱数据曲面拟合及软件 |
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| 引用本文： | 毛明志,胡日章. 散乱数据曲面拟合及软件[J]. 计算物理, 2001, 18(5): 435-438 |
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| 作者姓名： | 毛明志 胡日章 |
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| 作者单位： | 1. 中山大学科学计算与计算机应用系, 广东 广州 510275;2. 湛江海洋大学, 广东 湛江 524088 |
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| 基金项目： | 国家自然科学基金资助项目. |
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| 摘 要： | 阐述对矩形和L型域上的散乱数据用样条函数作曲面拟合的算法和绘图软件包,方法可推广到任意高维情形,易于在计算机上实现,均归结为解一个阶数主要依赖于散乱点数而与变量维数基本无关的对称线性方程组,软件包基于Windows95下Delphi3.0语言系统完成.
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| 关 键 词： | 散乱数据 曲面拟合 样条插值 光顺逼近 泛函极小 |
| 文章编号： | 1001-246X(2001)05-0435-04 |
| 收稿时间： | 2001-01-15 |
| 修稿时间： | 2001-01-15 |
FITTING SURFACES TO SCATTERED DATA AND SOFTWARES |
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| MAO Ming-zhi,HU Ri-zhang. FITTING SURFACES TO SCATTERED DATA AND SOFTWARES[J]. Chinese Journal of Computational Physics, 2001, 18(5): 435-438 |
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| Authors: | MAO Ming-zhi HU Ri-zhang |
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| Affiliation: | 1. Department of Scientific Computing and Computer Application of Zhongshan University, Guangzhou 510275, P R China;2. Zhanjiang Ocean University, Zhanjiang 524088, P R China |
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| Abstract: | Surface fitting and software to scattered data are concerned.Some efficient algorithms are presented for interpolating and smoothing scattered data on two and three-dimensional domains by splines.The methods can be extended to any multi-dimensional cases and are easily performed on a computer by solving a symmetric linear algebraic system coefficient matrix,order of which is dependent on the number of the data and independent of the dimension of variables.The programs executing the algorithms are designed with Delphi 3^0.The software can output values on any points of the three-dimensional graph of the surface.Some numerical examples (graphs) illustrate the effectiveness of the software. |
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| Keywords: | scattered data fitting surface spline interpolation smooth approximation minimization |
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