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

共 31 条

[1] Deformation analysis with Total Least Squares
Acar, M.
Oezluedemir, M. T.
Akyilmaz, O.
Celik, R. N.
Ayan, T.
[J]. NATURAL HAZARDS AND EARTH SYSTEM SCIENCES, 2006, 6 (04) : 663 - 669
[2] Adcock R.J., 1878, Analyst, V5, P53, DOI [10.2307/2635758, DOI 10.2307/2635758]
[3] Total least squares solution of coordinate transformation
Akyilmaz, O.
[J]. SURVEY REVIEW, 2007, 39 (303) : 68 - 80
[4] [Anonymous], 1988, Linear Complementarity, Linear and Nonlinear Programming
[5] Baldick R, 2006, APPL OPTIMIZATION FO
[6] Backward perturbation analysis for scaled total least-squares problems
Chang, X. -W.
Titley-Peloquin, D.
[J]. NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2009, 16 (08) : 627 - 648
[7] Total least-squares spiral curve fitting
Davis, TG
[J]. JOURNAL OF SURVEYING ENGINEERING-ASCE, 1999, 125 (04): : 159 - 176
[8] Deming W. E., 1946, STAT ADJUSTMENT DATA
[9] DOWLING EM, 1992, P ICASSP 92, V5, P341
[10] Felus Y. A., 2005, ASPRS 2005 ANN C BAL

← 1 2 3 4 →