散乱数据曲面拟合及软件

计算物理 ›› 2001, Vol. 18 ›› Issue (5): 435-438.

散乱数据曲面拟合及软件

毛明志¹, 胡日章²

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

收稿日期:2001-01-15 修回日期:2001-05-08 出版日期:2001-09-25 发布日期:2001-09-25
作者简介:毛明志(1966-),男,河南潢川,博士生,讲师,从事科学计算可视化,计算机图形图像与CAD研究.
基金资助:
国家自然科学基金资助项目

FITTING SURFACES TO SCATTERED DATA AND SOFTWARES

MAO Ming-zhi¹, HU Ri-zhang²

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

Received:2001-01-15 Revised:2001-05-08 Online:2001-09-25 Published:2001-09-25

摘要/Abstract

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.

关键词: 散乱数据, 曲面拟合, 样条插值, 光顺逼近, 泛函极小

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.

Key words: scattered data, fitting surface, spline interpolation, smooth approximation, minimization

中图分类号:

O241.5

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.

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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