SMOOTH INTERPOLATION OF LARGE SETS OF SCATTERED DATA
SMOOTH INTERPOLATION OF LARGE SETS OF SCATTERED DATA
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DOI：
10.1002/nme.1620151110
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发表时间：
1980-01-01
影响因子：
2.9
通讯作者：
NIELSON, G
中科院分区：
文献类型：
--
作者：
FRANKE, R;NIELSON, G
讨论了解决以下数据拟合问题的方法：给定数据（xi，yi，fi），i= 1，.，N，构造一个光滑二元函数S，使S（xi，yi）=fii= 1，.，N.由于在科学应用的许多领域经常遇到拟合这种类型的数据的愿望，因此对解决这个问题的可用方法进行了调查。从计算效率、拟合特性和实现方便等方面进行了分析比较。在用于大数据集的通用方法的背景下，其中两种方法通常优于其他方法，并且具有上级性。本文的目的是描述这两种方法，并举例说明它们的使用和应用。
Methods for solving the following data‐fitting problems are discussed: given the data (xi,yi,fi),i= 1,…,Nconstruct a smooth bivariate functionSwith the property thatS(xi,yi) =fii= 1,…,N. Because the desire to fit this type of data is encountered frequently in many areas of scientific applications, an investigation of the available methods for solving this problem was undertaken. Several aspects, such as computational efficiency, fitting characteristics and ease of implementation, were analysed and compared. Within the context of a general‐purpose method for large sets of data, two of these methods emerged as being generally superior to the others. It is the purpose of this paper to describe these two methods and present examples illustrating their use and application.