TY - JOUR
N2 - Generally, Least Squares (LS) Method treats only random errors of observation vector in adjustment function models. However, both observation vector and elements of coefficient matrix of adjustment function model contain random errors. Therefore, there is no guarantee that the result of adjustment by LS method is the global optimal solution. Total Least Square (TLS) method is a primary estimation method that treats random errors of observation vector and coefficient matrix in adjustment functional models. Since TLS method take into account both random errors of observation vector and coefficient matrix based on errors-in-variables model, it is possible to improve the accuracy compared with the result of LS method. So TLS method has been applied to different fields of science and technology including signal and image processing, computer vision,communication engineering and geodesy. However, weighted total least square (WTLS) method has been not applied in geodetic network adjustment problem compared with other fields widely. So the purpose of this paper is to summarize the algorithm of WTLS briefly and to propose an application method in adjustment of triangulation network. Key problem in application of WTLS to adjustment of geodetic network is to determine the weight matrix (or cofactor matrix) for elements of coefficient matrix in adjustment function model. In this paper proposed a method to determine cofactor matrix for errors of coefficient matrix in triangulation network, and verifies the effectiveness of suggested method through example applied to triangulation network.
L1 - http://journals.pan.pl/Content/131756/PDF-MASTER/e48.pdf
L2 - http://journals.pan.pl/Content/131756
PY - 2024
IS - No. 1
EP - article no. e48
DO - 10.24425/agg.2023.146160
KW - WTLS method
KW - EIV model
KW - cofactor matrix
KW - adjustment function model
KW - triangulation network adjustment
A1 - Kim, Jung-Hyang
A1 - Kim, Chol-Jin
A1 - Ri, Myong-Hak
PB - Polska Akademia Nauk/ Komitet Geodezji Polskiej Akademii Nauk; Polish Academy of Sciences / Commitee on Geodesy Polish Academy of Sciences
VL - vol. 73
DA - 21.06.2024
T1 - Study on triangulation network adjustment by Total Least Square Method
SP - article no. e48
UR - http://journals.pan.pl/dlibra/publication/edition/131756
T2 - Advances in Geodesy and Geoinformation
ER -