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 .
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. [
出处
《计算物理》
CSCD
北大核心
2001年第5期435-438,共4页
Chinese Journal of Computational Physics
基金
国家自然科学基金资助项目
关键词
散乱数据
曲面拟合
样条插值
光顺逼近
绘图软件包
scattered data
fitting surface
spline interpolation
smooth approximation
minimization
