POLYNOMIAL CURVE FITTING WHEN ABSCISSAS AND ORDINATES ARE BOTH SUBJECT TO ERROR

被引：46

作者：

ONEILL, M

SINCLAIR, IG

SMITH, FJ

机构：

[1] Independent Computer Services (N. Ireland) Ltd., Belfast

[2] Short Brothers and Harland Ltd., Belfast

[3] Departments of Computer Science and Applied Mathematics, School of Physics and Applied Mathematics, Queen's University of Belfast, Northern Ireland

来源：

COMPUTER JOURNAL | 1969年 / 12卷 / 01期

关键词：

D O I：

10.1093/comjnl/12.1.52

中图分类号：

TP3 [计算技术、计算机技术];

学科分类号：

0812 ;

摘要：

An iterative method is described for the least-square curve fitting of a polynomial to a set of points in two dimensions when both the abscissas and ordinates are subject to error and when the weights of all the readings are known. The process converges, in general, to a polynomial giving the exact minimum of the 'weighted' perpendicular distances onto the curve. It is shown that in practice Deming's method gives a solution close to this optimum polynomial. © 1969 The British Computer Society.

引用

页码：52 / &

共 10 条

[1]

Deming W. E., 1943, STAT ADJUSTMENT DATA, P261

[2] GENERATION AND USE OF ORTHOGONAL POLYNOMIALS FOR DATA-FITTING WITH A DIGITAL COMPUTER [J].