New affine transformation parameters for the horizontal network of Seoul/Korea by multivariate TLS-adjustment

Jay Hyoun Kwon; Jong Ki Lee; Burkhard Schaffrin; Yun Soo Choi; Impyeong Lee

doi:10.1179/003962609X451537

New affine transformation parameters for the horizontal network of Seoul/Korea by multivariate TLS-adjustment

Jay Hyoun Kwon, Jong Ki Lee, Burkhard Schaffrin, Yun Soo Choi, Impyeong Lee

Department of Geoinformatics

Ohio State University

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The new approach of multivariate Total Least-Squares (TLS) adjustment has been applied to 33 stations of the horizontal network of Seoul/Korea in order to estimate best-fitting affine transformation parameters. The results are presented along with variances and covariances (in first order approximation), and comparisons are drawn with the standard Least-Squares (LS) approach. Although the estimates from TLS do not show practical differences with respect to LS, the fit does yield significant improvements. Furthermore, the estimates could be substantially different when the data quality drops considerably. No weights are taken into consideration at this time.

Original language	English
Pages (from-to)	279-291
Number of pages	13
Journal	Survey Review
Volume	41
Issue number	313
DOIs	https://doi.org/10.1179/003962609X451537
State	Published - Jul 2009

Keywords

Affine transformation parameters
Horizontal network
Multivariate Total Least-Squares adjustment

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10.1179/003962609X451537

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title = "New affine transformation parameters for the horizontal network of Seoul/Korea by multivariate TLS-adjustment",

abstract = "The new approach of multivariate Total Least-Squares (TLS) adjustment has been applied to 33 stations of the horizontal network of Seoul/Korea in order to estimate best-fitting affine transformation parameters. The results are presented along with variances and covariances (in first order approximation), and comparisons are drawn with the standard Least-Squares (LS) approach. Although the estimates from TLS do not show practical differences with respect to LS, the fit does yield significant improvements. Furthermore, the estimates could be substantially different when the data quality drops considerably. No weights are taken into consideration at this time.",

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AU - Kwon, Jay Hyoun

AU - Lee, Jong Ki

AU - Schaffrin, Burkhard

AU - Choi, Yun Soo

AU - Lee, Impyeong

PY - 2009/7

Y1 - 2009/7

N2 - The new approach of multivariate Total Least-Squares (TLS) adjustment has been applied to 33 stations of the horizontal network of Seoul/Korea in order to estimate best-fitting affine transformation parameters. The results are presented along with variances and covariances (in first order approximation), and comparisons are drawn with the standard Least-Squares (LS) approach. Although the estimates from TLS do not show practical differences with respect to LS, the fit does yield significant improvements. Furthermore, the estimates could be substantially different when the data quality drops considerably. No weights are taken into consideration at this time.

AB - The new approach of multivariate Total Least-Squares (TLS) adjustment has been applied to 33 stations of the horizontal network of Seoul/Korea in order to estimate best-fitting affine transformation parameters. The results are presented along with variances and covariances (in first order approximation), and comparisons are drawn with the standard Least-Squares (LS) approach. Although the estimates from TLS do not show practical differences with respect to LS, the fit does yield significant improvements. Furthermore, the estimates could be substantially different when the data quality drops considerably. No weights are taken into consideration at this time.

KW - Affine transformation parameters

KW - Horizontal network

KW - Multivariate Total Least-Squares adjustment

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VL - 41

SP - 279

EP - 291

JO - Survey Review

JF - Survey Review

IS - 313

ER -

New affine transformation parameters for the horizontal network of Seoul/Korea by multivariate TLS-adjustment

Abstract

Keywords

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