METHOD OF BIVARIATE INTERPOLATION AND SMOOTH SURFACE FITTING BASED ON LOCAL PROCEDURES
METHOD OF BIVARIATE INTERPOLATION AND SMOOTH SURFACE FITTING BASED ON LOCAL PROCEDURES
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DOI：
10.1145/360767.360779
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发表时间：
1974-01-01
影响因子：
22.7
通讯作者：
AKIMA, H
中科院分区：
文献类型：
--
作者：
AKIMA, H
本文提出了一种用光滑二元函数z =z（x，y）插值平面上矩形网格点的方法。插值函数在矩形网格的每个单元中是双三次多项式。重点是避免给定网格点之间的过度波动。所提出的方法是作者早先开发的单变量插值方法的扩展，并且同样基于局部程序。
A method is designed for interpolating values given at points of a rectangular grid in a plane by a smooth bivariate functionz=z(x, y). The interpolating function is a bicubic polynomial in each cell of the rectangular grid. Emphasis is on avoiding excessive undulation between given grid points. The proposed method is an extension of the method of univariate interpolation developed earlier by the author and is likewise based on local procedures.