A robust mixed LS-TLS based on IGGII scheme

Xunqiang Gong; Zhilin Li

doi:10.13203/j.whugis20120015

A robust mixed LS-TLS based on IGGII scheme

Xunqiang Gong
, Zhilin Li

Research output: Journal article publication › Journal article › Academic research › peer-review

8 Citations (Scopus)

Abstract

Errors in coefficient matrix and observation vectors can be reasonably taken into account in mixed LS-TLS. However, in such a solution, gross errors in the observation data are ignored. To solve this problem, a robust method of mixed LS-TLS is proposed based on the IGGII scheme. A comparative evaluation with least squares, total least square, s and mixed LS-TLS was conducted for plane fitting with a set of simulations and a set of real-life data. The results confirm that the proposed method is more reliable than the others.

Original language	English
Pages (from-to)	462-466
Number of pages	5
Journal	Wuhan Daxue Xuebao (Xinxi Kexue Ban)/Geomatics and Information Science of Wuhan University
Volume	39
Issue number	4
DOIs	https://doi.org/10.13203/j.whugis20120015
Publication status	Published - 1 Jan 2014
Externally published	Yes

Keywords

IGGII scheme
Mixed LS-TLS
Plane fitting
Robust mixed LS-TLS
Total least squares (TLS)

ASJC Scopus subject areas

Computer Science (miscellaneous)
Earth-Surface Processes

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10.13203/j.whugis20120015

Cite this

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abstract = "Errors in coefficient matrix and observation vectors can be reasonably taken into account in mixed LS-TLS. However, in such a solution, gross errors in the observation data are ignored. To solve this problem, a robust method of mixed LS-TLS is proposed based on the IGGII scheme. A comparative evaluation with least squares, total least square, s and mixed LS-TLS was conducted for plane fitting with a set of simulations and a set of real-life data. The results confirm that the proposed method is more reliable than the others.",

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AU - Li, Zhilin

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AB - Errors in coefficient matrix and observation vectors can be reasonably taken into account in mixed LS-TLS. However, in such a solution, gross errors in the observation data are ignored. To solve this problem, a robust method of mixed LS-TLS is proposed based on the IGGII scheme. A comparative evaluation with least squares, total least square, s and mixed LS-TLS was conducted for plane fitting with a set of simulations and a set of real-life data. The results confirm that the proposed method is more reliable than the others.

KW - IGGII scheme

KW - Mixed LS-TLS

KW - Plane fitting

KW - Robust mixed LS-TLS

KW - Total least squares (TLS)

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DO - 10.13203/j.whugis20120015

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JO - Wuhan Daxue Xuebao (Xinxi Kexue Ban)/Geomatics and Information Science of Wuhan University

JF - Wuhan Daxue Xuebao (Xinxi Kexue Ban)/Geomatics and Information Science of Wuhan University

IS - 4

ER -

A robust mixed LS-TLS based on IGGII scheme

Abstract

Keywords

ASJC Scopus subject areas

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