Comparison of Structured and Weighted Total Least-Squares Adjustment Methods for Linearly Structured Errors-in-Variables Models

作者:Zhou, YJ (Zhou, Yongjun)^{[ 1 ]} ; Kou, XJ (Kou, Xinjian)^{[ 1 ]} ; Li, J (Li, Jonathan)^{[ 2 ]} ; Fang, X (Fang, Xing)^{[ 3 ]}

JOURNAL OF SURVEYING ENGINEERING

卷: 143

期: 1

文献号: UNSP 04016019DOI: 10.1061/(ASCE)SU.1943-5428.0000190

出版年: FEB 2017

摘要

The paper focuses on a specific errors-in-variables (EIV) model named the linearly structured EIV (LSEIV) model in which all the random elements of design matrix are in a linear combination of an input vector with random errors. Two existing structured total least-squares (STLS) algorithms named constrained TLS (CTLS) and structured TLS normalization (STLN) are introduced to solve the LSEIV model by treating the input and output vectors as the noisy structure vectors. For comparison purposes, the weighted TLS (WTLS) method is also performed based on the partial EIV model. Approximated accuracy assessment methods are also presented. The plane fitting and Bursa transformation examples are illustrated to demonstrate the accuracy and computational efficiency performance of the proposed algorithms. It shows that the proposed STLS and WTLS algorithms can achieve the same accuracy if the dispersion matrix of the WTLS method is constructed based on the partial EIV model.

作者关键词:Errors-in-variables (EIV) model; Structured total least-squares (STLS); Weighted total least-squares (WTLS); Linearly structured

KeyWords Plus:DATUM TRANSFORMATION; MATRICES; CONSTRAINTS; REGRESSION; ESTIMATOR; NORM

通讯作者地址: Zhou, YJ (通讯作者)

地址:

电子邮件地址:yjzhou@sjtu.edu.cn

基金资助机构授权号

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ASCE-AMER SOC CIVIL ENGINEERS, 1801 ALEXANDER BELL DR, RESTON, VA 20191-4400 USA

研究方向:Engineering

Web of Science 类别:Engineering, Civil

文献类型:Article

语种:English

入藏号: WOS:000393862000001

ISSN: 0733-9453

eISSN: 1943-5428

Impact Factor (影响因子):0.884