A solution to EIV model with inequality constraints and its geodetic applications

被引：56

作者：

Zhang, Songlin ^{[1
]}

Tong, Xiaohua ^{[1
]}

Zhang, Kun ^{[2
]}

机构：

[1] Tongji Univ, Dept Surveying & Geoinformat, Shanghai 200092, Peoples R China

[2] E China Normal Univ, Lab Geog Informat Sci, Shanghai 200062, Peoples R China

来源：

JOURNAL OF GEODESY | 2013年 / 87卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Errors-in-variables model; Inequality constraints; Active constraints; Exhaustive searching; Total least squares; TOTAL LEAST-SQUARES; ADJUSTMENT; REGRESSION;

D O I：

10.1007/s00190-012-0575-2

中图分类号：

P3 [地球物理学]; P59 [地球化学];

学科分类号：

0708 ; 070902 ;

摘要：

In the field of surveying, mapping and geodesy, there have been a number of works on the error-in-variable (EIV) model with constraints, where equality constraints are imposed on the parameter vector. However, in some cases, these constraints may be inequalities. The EIV model with inequality constraints has not been fully investigated. Therefore, this paper presents an inequality-constrained total least squares (ICTLS) solution for the EIV model with inequality constraints (denoted as ICEIV). Employing the proposed ICTLS method, the ICEIV problem is first converted into an equality-constrained problem by distinguishing the active constraints through exhaustive searching, and it is then resolved employing the method of equality-constrained total least squares (ECTLS). The applicability and feasibility of the proposed method is illustrated in two examples.

引用

页码：23 / 28

页数：6